Characterization and analysis of delamination fracture in composites: An overview of developments from 1990 to 2001
Tóm tắt
Từ khóa
Tài liệu tham khảo
Garg AC (1988), Delamination–A damage mode in composite structures, Eng. Fract. Mech. 29(5), 557–584.
Pagano NJ and Schoeppner GA (2000), Delamination of polymer matrix composites: problems and assessment, Comprehensive Composite Materials2, A Kelly and C Zweben (eds), Elsevier Science, Oxford, 433–528.
Bolotin VV (1996), Delaminations in composite structures: its origin, buckling, growth and stability, Composites: Part B 27B, 129–145.
Tay TE (2001), Characterization and analysis of buckling-induced delamination in composites, 13th Int Conf on Composite Materials (ICCM-13), Beijing, China, Paper 1298.
Mouritz AP and Cox BN (2000), A mechanistic approach to the properties of stitched laminates, Composites, Part A 31, 1–27.
Anderson TL (1995), Fracture Mechanics Fundamentals and Applications, Second Edition, CRC Press, Boca Raton.
Davies P , Sims GD, Blackman BRK, Brunner AJ, Kageyama K, Hojo M, Tanaka K, Murri G, Rousseau C, Gieseke B, and Martin RH (1999), Comparison of test configurations for determination of mode II interlaminar fracture toughness results from international collaborative test program, Plastics, Rubber Compos 28(9) 432–437.
Davies P , Blackman BRK, and Brunner AJ (1998), Standard test methods for delamination resistance of composite materials: Current status, Appl. Compos. Mater. 5, 345–364.
Davies P , Kausch HH, Williams JG, Kinloch AJ, Charalambides MN, Pavan A, Moore DR, Prediger R, Robinson I, Burgoyne N, Friedrich K, Wittich H, Rebelo CA, Torres Marques A, Ramsteiner F, Melve B, Fischer M, Roux N, Martin D, Czarnocki P, Neville D, Verpoest I, Goffaux B, Lee R, Walls K, Trigwell N, Partridge IK, Jaussaud J, Andersen S, Giraud Y, Hale G, and McGrath G (1992), Round-robin interlaminar fracture testing of carbon-fiber-reinforced epoxy and PEEK composites, Compos. Sci. Technol. 43, 129–1376.
Tay TE , Williams JF, and Jones R (1987), Characterization of pure and mixed mode fracture in composite laminates, Theo. & Appl. Frac. Mech. 7, 115–123.
Juntti M , Asp LE, and Olsson R (1999), Assessment of evaluation methods for the mixed-mode bending test, J. Compos. Technol. Res. 21(1), 37–48.
Robinson P and Song DQ (1992), A modified DCB specimen for Mode I testing of multidirectional laminates, J. Compos. Mater. 26(11), 554–1577.
ASTM D 5528-94a, Standard test method for Mode I interlaminar fracture toughness of unidirectional fiber-reinforced polymer matrix composites, Annual Book of ASTM Standards, 15.03, Am. Soc. for Testing and Materials, (2000).
ASTM D 6115-97, Standard test method for Mode I fatigue delamination growth onset of unidirectional fiber-reinforced polymer matrix composites, Annual Book of ASTM Standards, 15.03, Am. Soc. for Testing and Materials, (2000).
ASTM D 6671-01, Standard test method for mixed mode I–Mode II interlaminar fracture toughness of unidirectional fiber reinforced polymer matrix composites, Annual Book of ASTM Standards, 15.03, Am. Soc. for Testing and Materials, (2000).
Martin RH and Davidson BD (1999), Mode II fracture toughness evaluation using a four point bend end notched flexure test, Plastics, Rubber Compos 28(8), 401–406.
Schuecker C and Davidson BD (2000), Evaluation of the accuracy of the four-point bend end-notched flexure test for mode II delamination toughness determination, Compos. Sci. Technol. 60, 2137–2146.
Martin RH, Elms T, and Bowron S (1998), Characterization of mode II delamination using the 4ENF, 4th European Conf on Composite Materials, Inst of Materials, London, 161–170.
Johnson WS and Mangalgiri PD (1987), Influence of the resin on interlaminar mixed-mode fracture, Toughened Composites, ASTM STP 937, NJ Johnston (ed), Am. Soc. for Testing and Materials, Philadelphia, 295–315.
Reeder JR and Crews Jr JH (1990), The mixed-mode bending method for delamination testing, AIAA J. 28(7), 1270–1276.
Reeder JR and Crews Jr JH (1992), Redesign of the mixed-mode bending delamination test to reduce nonlinear effects, J. Compos. Technol. Res. 14(1), 12–19.
Reeder, JR (1993), A bilinear failure criterion for mixed-mode delamination, Composite Materials: Testing and Design, Eleventh Volume, ASTM STP 1206, ET Camponeschi Jr (ed), Am Soc for Testing and Materials, Philadelphia, 303–322.
Kinloch AJ , Wang Y, Williams JG, and Yayla P (1993), The mixed-mode delamination of fiber composite materials, Compos. Sci. Technol. 27, 225–237.
Rikards R , Buchholz F-G, Wang H, Bledzki AK, Korjakin A, and Richard H-A (1998), Investigation of mixed mode I/II interlaminar fracture toughness of laminated composites by using a CTS type specimen, Eng. Fract. Mech. 61, 325–342.
Rikards R (2000), Interlaminar fracture behavior of laminated composites, Comput. Struct. 76, 11–18.
Bansal A and Kumosa M (1995), Application of biaxial Iosipescu method to mixed-mode fracture of unidirectional composites, Int. J. Fract. 71, 131–150.
Davidson BD , Kru¨ger R, and Ko¨nig M (1995), Three-dimensional analysis of center-delaminated unidirectional and multidirectional single-leg bending specimens, Compos. Sci. Technol. 54, 385–394.
Sundararaman V and Davidson BD (1998), An unsymmetric end-notched flexure test for interfacial fracture toughness determination, Eng. Fract. Mech. 60, 361–377.
Guo YJ and Weitsman YJ (2001), A modified specimen for evaluating the mixed mode fracture toughness of adhesives, Int. J. Fract. 107, 201–234.
Brunner AJ (2000), Experimental aspects of Mode I and Mode II fracture toughness testing of fiber-reinforced polymer-matrix composites, Comput. Methods Appl. Mech. Eng. 185, 161–172.
O’Brien TK (1998), Interlaminar fracture toughness: the long and winding road to standardization, Composites, Part B 29B, 57–62.
O’Brien TK (1998), Composite interlaminar shear fracture toughness, GIIc: Shear measurement or shear myth?, Composite Materials: Fatigue and Fracture, Seventh Volume, ASTM STP 1330, RB Bucinell (ed), Am. Soc. for Testing and Materials, Philadelphia, 3–18.
Svensson N and Gilchrist MD (1998), Mixed-mode delamination of multidirectional carbon fiber/epoxy laminates, Mech. of Compos. Mater. & Struct 5, 291–307.
Shivakumar KN , Crews Jr JH, and Avva VS (1998), Modified mixed-mode bending test apparatus for measuring delamination fracture toughness of laminated composites, J. Compos. Mater. 32(9), 804–828.
Asp LE , Sjo¨gren A, and Greenhalgh ES (2001), Delamination growth and thresholds in a carbon/epoxy composite under fatigue loading, J. Compos. Technol. Res. 23(2), 55–68.
Sjo¨gren A and Asp LE (2002), Effects of temperature on delamination growth in a carbon/epoxy composite under fatigue loading, Int. J. Fract. 24, 179–184.
Paris I and Poursatip A (1999), Delaminations under pure Mode II loading show significant local Mode I behavior, 12th Int Conf on Composite Materials (ICCM-12), Paris, France, Paper 354.
Lee SM (1993), An edge crack torsion method for Mode III delamination fracture testing, J. Compos. Technol. Res. 15(3), 193–201.
Li J and Wang Y (1996), Analysis of Mode III delamination fracture testing using a midplane edge crack torsion specimen, Composite Materials: Testing and Design, Twelfth Volume, ASTM STP 1274, RB Deo and CR Saff, (eds), Am Soc for Testing and Materials, Philadelphia, 166–181.
Li J and Wang Y (1994), Analysis of a symmetric laminate with mid-plane free edge delamination under torsion: theory and application to the edge crack torsion (ECT) specimen for Mode III toughness characterization, Eng. Fract. Mech. 49(2), 179–194.
Li J and O’Brien TK (1996), Characterizing fatigue delamination onset under Mode III loading for laminated composites, 11th Tech Conf of Am Soc for Composites, Atlanta, GA, Technomic Publ., Lancaster, PA, 419–427.
Li J and O’Brien TK (1996), Simplified data reduction methods for the ECT test for Mode III interlaminar fracture toughness, J. Compos. Technol. Res. 18(2), 96–101.
Li J , Lee SM, Lee EW, and O’Brien TK (1997), Evaluation of the edge crack torsion (ECT) test for Mode III interlaminar fracture toughness of laminated composites, J. Compos. Technol. Res. 19(3), 174–183.
Suemasu H (1999), An experimental method to measure the Mode III interlaminar fracture toughness of composite laminates, Compos. Sci. Technol. 59, 1015–1021.
Liao WC and Sun CT (1996), The determination of Mode III fracture toughness in thick composite laminates, Compos. Sci. Technol. 56, 489–499.
Donaldson SL (1988), Mode III interlaminar fracture characterization of composite materials, Compos. Sci. Technol. 32, 225–249.
Becht G and Gillespie JW (1988), Design and analysis of the crack rail shear specimen for Mode III interlaminar fractures, Compos. Sci. Technol. 31, 143–157.
Martin RH (1991), Evaluation of the split cantilever beam for Mode III delamination testing, Composite Materials: Fatigue and Fracture, Third Volume, ASTM STP 1110, TK O’Brien (ed), Am Soc for Testing and Materials, Philadelphia, 243–266.
Robinson P and Song DQ (1992), A new Mode III delamination test for composites, Adv Compos Lett 1, 160–164.
Trakas K and Kortschot MT (1997), The relationship between critical strain energy release rate and fracture mode in multidirectional carbon-fiber/epoxy laminates, Composite Materials: Fatigue and Fracture, Sixth Volume, ASTM STP 1285, EA Armanios (ed), Am Soc for Testing and Materials, Philadelphia, 283–304.
Krueger R , Cvitkovich MK, O’Brien TK, and Minguet PJ (2000), Testing and analysis of composite skin/stringer debonding under multi-axial loading, J. Compos. Mater. 34(15), 1263–1300.
Martin RH (1996), Interlaminar fracture characterization, Key Eng. Mater. 121–122, 329–346.
Hooper SJ , Khourchid Y, and Sriram P (1996), Application of the MMB specimen in the measurement of mixed mode interlaminar fracture toughness, Key Eng. Mater. 121–122, 361–388.
Sriram P, Khourchid Y, Hooper SJ, and Martin RH (1995), Experimental development of a mixed-mode fatigue delamination criterion, Composite Materials: Fatigue and Fracture, Fifth Volume, ASTM STP 1230, RH Martin (ed), Am Soc for Testing and Materials, Philadelphia, 3–18.
Sriram P, Khourchid Y, and Hooper SJ (1993), The effect of mixed-mode loading on delamination fracture toughness, Composite Materials: Testing and Design, Eleventh Volume, ASTM STP 1206, ET Camponeschi Jr. (ed), Am Soc for Testing and Materials, Philadelphia, 291–302.
Martin RH, Sriram P, and Hooper SJ (1996), Using a mixed-mode fatigue delamination criterion, Composite Materials: Testing and Design, Twelfth Volume, ASTM STP 1274, RB Deo and CR Saff, (eds), Am Soc for Testing and Materials, Philadelphia, 371–392.
Kenane M and Benzeggagh ML (1997), Mixed-mode delamination fracture toughness of unidirectional glass/epoxy composites under fatigue loading, Compos. Sci. Technol. 57, 597–605.
Ko¨nig M, Kru¨ger R, Kussmaul K, Alberti Mv, and Ga¨dke M (1997), Characterizing static and fatigue interlaminar fracture behavior of a first generation graphite/epoxy composite, Composite Materials: Testing and Design, Thirteenth Volume, ASTM STP 1242, SJ Hooper (ed), Am Soc for Testing and Materials, Philadelphia, 60–81.
O’Brien TK, Murri GB, and Salpekar SA (1989), Interlaminar shear fracture toughness and fatigue thresholds for composite materials, Composite Materials: Fatigue and Fracture, Second Volume, ASTM STP 1012, PA Lagace (ed), Am Soc for Testing and Materials, Philadelphia, 222–250.
Davidson BD (1994), Prediction of delamination growth in laminated structures, Failure Mechanics in Advanced Polymeric Composites, AMD-Vol. 196, GA Kardomateas and YDS Rajapakse (eds), Am Soc of Mech Eng, New York, 43–65.
Zhao S , Ga¨dke M, and Prinz R (1995), Mixed-mode delamination behavior of carbon/epoxy composites, J. Reinf. Plast. Compos. 14, 804–826.
Martin RH (1998), Incorporating interlaminar fracture mechanics into design, Int. Conf. on Designing Cost-Effective Composites, London, UK, Inst of Mech Eng, Bury St Edmunds and London, 83–92.
Scho¨n J , Nyman T, Blom A, and Ansell H (2000), Numerical and experimental investigation of a composite ENF-specimen, Eng. Fract. Mech. 65, 405–433.
Scho¨n J (2000), A model of fatigue delamination in composites, Compos. Sci. & Technol. 60, 553–558.
Dahlen C and Springer GS (1994), Delamination growth in composites under cyclic loads, J. Compos. Mater. 28(8), 732–781.
Andersons J , Hojo M, and Ochiai S (2001), Model of delamination propagation in brittle-matrix composites under cyclic loading, J. Reinf. Plast. & Compos. 20(5), 431–450.
Suo Z (1990), Singularities, interfaces and cracks in dissimilar anisotropic media, Proc. R. Soc. London, Ser. A 427, 331–358.
Hutchinson JW and Suo Z (1992), Mixed mode cracking in layered materials, Advances in Applied Mechanics29, JW Hutchinson and TY Wu, (eds), Academic Press, New York.
Qian W and Sun CT (1998), Methods for calculating stress intensity factors for interfacial cracks between two orthotropic solids, Int. J. Solids Struct. 35(25), 3317–3330.
Beuth JL (1996), Separation of crack extension modes in orthotropic delamination models, Int. J. Fract. 77, 305–321.
Rybicki EF and Kanninen MF (1977), A finite element calculation of stress intensity factors by a modified crack closure integral, Eng. Fract. Mech. 9, 931–938.
Raju IS (1987), Calculation of strain-energy release rates with higher order and singular finite elements, Eng. Fract. Mech. 28(3), 251–274.
Shivakumar KN , Tan PW, and Newman Jr JC (1988), A virtual crack-closure technique for calculating stress intensity factors for cracked three dimensional bodies, Int. J. Fract. 36, R43–R50R43–R50.
Raju IS and Shivakumar KN (1988), Three-dimensional elastic analysis of a composite double cantilever beam specimen, AIAA J. 26(12), 1493–1498.
Davidson BD (1990), An analytical investigation of delamination front curvature in double cantilever beam specimens, J. Compos. Mater. 24, 1124–1137.
Sun CT and Zheng S (1993), Delamination characteristics of double-cantilever beam and end-notched flexure composite specimens, Compos. Sci. Technol. 56, 451–459.
Nilsson KF (1993), On growth of crack fronts in the DCB test, Composites Eng. 3(6), 527–546.
Manoharan MG and Sun CT (1990), Strain energy release rates of an interfacial crack between two anisotropic solids under uniform axial strain, Compos. Sci. Technol. 39(2), 99–116.
Tay TE , Shen F, Lee KH, Scaglione A, and Di Sciuva M (1999), Mesh design in finite element analysis of post-buckled delamination in composite laminates, Compos. Struct. 47, 603–611.
Narayana KB , George S, Dattaguru B, Ramamurthy TS, and Vijayakumar K (1994), Modified crack closure integral (MCCI) for 3D problems using 20 noded brick elements, Fatigue Fract. Eng. Mater. Struct. 17(2), 145–157.
Dattaguru B , Venkatesha KS, Ramamurthy TS, and Buchholz F-G (1994), Finite element estimates of strain energy release rate components at the tip of an interface crack under Mode I loading, Eng. Fract. Mech. 49(3), 451–463.
Raju IS Crews Jr JH , and Aminpour MA (1988), Convergence of strain energy release rate components for edge-delaminated composite laminates, Eng. Fract. Mech. 30(3), 383–396.
Davidson BD , Gharibian SJ, and Yu L (2000), Evaluation of energy release rate-based approaches for predicting delamination growth in laminated composites, Int. J. Fract. 105, 343–365.
Wang JT and Raju IS (1996), Strain energy release rate formulae for skin-stiffener debond modeled with plate elements, Eng. Fract. Mech. 54(2), 211–228.
Raju IS , Sistla R, and Krishnamurthy T (1996), Fracture mechanics analyses for skin-stiffener debonding, Eng. Fract. Mech. 54(3), 371–385.
Schapery RA and Davidson BD (1990), Prediction of energy release rate for mixed- mode delamination using classical plate theory, Appl. Mech. Reviews 43(5), Pt. 2, S281–S287S281–S287.
Davidson BD , Hu H, and Schapery RA 1995), An analytical crack-tip element for layered elastic structures, ASME J. Appl. Mech. 62, 294–305.
Davidson BD and Krafchak TM (1993), Analysis of instability-related delamination growth using a crack tip element, AIAA J. 31(11), 2130–2136.
Davidson BD (1996), Analytical determination of mixed-mode energy release rates for delamination using a crack tip element, Key Eng. Mater. 121–122, 161–180.
Davidson BD, Fariello PL, Hudson RC, and Sundararaman V (1997), Accuracy assessment of the singular-field-based mode-mix decomposition procedure for the prediction of delamination, Composite Materials: Testing and Design, Thirteenth Volume, ASTM STP 1242, SJ Hooper (ed), Am Soc for Testing and Materials, Philadelphia, 109–128.
Davidson BD , Yu L, and Hu H (2000), Determination of energy release rate and mode mix in three-dimensional layered structures using plate theory, Int. J. Fract. 105, 81–104.
Yu L and Davidson BD (2001), A three-dimensional crack tip element for energy release rate determination in layered elastic structures, J. Compos. Mater. 35(6), 457–488.
Yang Z and Sun CT (1998), Fracture mode separation for delamination in plate-like composite structures, 39th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference and Exhibit, Long Beach CA, Am Inst of Aeronaut and Astronaut, Reston, 2666–2678.
Yang Z , Sun CT, and Wang J (2000), Fracture mode separation for delamination in platelike composite structures, AIAA J. 38(5), 868–874.
Jeon I , Kim Y, and Im S (1996), Enriched finite element analysis for a delamination crack in a laminated composite strip, Comput. Mech. 17, 262–269.
Rice JR (1988), Elastic fracture mechanics concepts for interfacial cracks, ASME J. Appl. Mech. 55, 98–103.
Chow WT and Atluri SN (1995), Finite-element calculation of stress intensity factors for interfacial crack using virtual crack closure integral, Comput. Mech 16, 417–425.
Chow WT and Atluri SN (1998), Stress intensity factors as the fracture parameters for delamination crack growth in composite laminates, Comput. Mech. 21, 1–10.
Chow WT , Boem HG, and Atluri SN (1995), Calculation of stress intensity factors for an interfacial crack between dissimilar anisotropic media, using a hybrid element method and the mutual integral, Comput. Mech. 15, 546–557.
Sheinman I and Kardomateas GA (1997), Energy release rate and stress intensity factors for delaminated composite laminates, Int. J. Solids Struct. 34(4), 451–459.
Johnson MJ and Sridharan S (1999), Evaluation of strain energy release rates in delaminated laminates under compression, AIAA J. 37(8), 954–963.
Narayan SH and Beuth JL (1998), Designation of mode mix in orthotropic composite delamination problems, Int. J. Fract. 90, 383–400.
Williams JG (1988), On the calculation of energy release rates for cracked laminates, Int. J. Fract. 36, 101–119.
Hashemi S, Kinloch AJ, and Williams JG (1991), Mixed-mode fracture in fiber-polymer composite laminates, Composite Materials: Fatigue and Fracture, Third Volume, ASTM STP 1110, TK O’Brien (ed), Am Soc for Testing and Materials, Philadelphia, 143–168.
Hashemi S , Kinloch AJ, and Williams JG (1990), The analysis of interlaminar fracture in uniaxial fiber-polymer composites, Proc. R. Soc. London, Ser. A 427, 173–199.
Charalambides M , Kinloch AJ, Wang Y, and Williams JG (1992), On the analysis of mixed-mode failure, Int. J. Fract. 54, 269–291.
Poursartip A , Gambone A, Ferguson S, and Fernlund G (1998), In- situ SEM measurements of crack tip displacements in composite laminates to determine local G in mode I and II, Eng. Fract. Mech. 60(2), 173–185.
Sridharan S (2001), Displacement-based mode separation of strain energy release rates for interfacial cracks in bi-material media, Int. J. Solids Struct. 38, 6787–6803.
Ducept F , Gamby D, and Davies P (1999), A mixed-mode failure criterion derived from tests on symmetric and asymmetric specimens, Compos. Sci. Technol. 59, 609–619.
Fish JC and Malaznik SD (1996), Fracture of double beam specimens containing 90-degree plies, Key Eng. Mater. 121–122, 347–360.
Olsson R , Thesken JC, Brandt F, Jo¨nsson N, and Nilsson S (1996), Investigations of delamination criticality and the transferability of growth criteria, Comput. Struct. 36, 221–247.
Davidson BD, Altonen CS, and Polaha JJ (1996), Effect of stacking sequence on delamination toughness and delamination growth behavior in composite end-notched flexure specimens, Composite Materials: Testing and Design, Twelfth Volume, ASTM STP 1274, RB Deo and CR Saff, (eds), Am Soc for Testing and Materials, Philadelphia, 393–413.
Davidson BD , Kru¨ger R, and Ko¨nig M. (1996), Effect of stacking sequence on energy release rate distributions in multidirectional DCB and ENF specimens, Eng. Fract. Mech. 55(4), 557–569.
Tao J and Sun CT (1998), Influence of ply orientation on delamination in composite laminates, J. Compos. Mater. 32(21), 1933–1947.
Choi NS , Kinloch AJ, and Williams JG (1999), Delamination fracture of multidirectional carbon-fiber/epoxy composites under mode I, mode II and mixed-mode I/II loading, J. Compos. Mater. 33(1), 73–100.
Shi YB , Hull D, and Price JN (1993), Mode II fracture of +/− angled laminate interfaces, Compos. Sci. Technol. 47, 173–184.
Daridon L , Cochelin B, and Potier-Ferry M (1997), Delamination and fiber bridging modeling in composite samples, J. Compos. Mater. 31(9), 874–888.
Polaha JJ (1994), Effect of interfacial ply orientation on the fracture toughness of a laminated graphite/epoxy composite, 35th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conf and Exhibit, Long Beach CA, Am Inst Aeronaut and Astronaut, Reston, 1707–1716.
Salpekar SA , O’Brien TK, and Shivakumar KN (1996), Analysis of local delaminations caused by angle ply matrix cracks, J. Compos. Mater. 30(4), 418–440.
Salpekar SA and O’Brien TK (1991), Combined effect of matrix cracking and free edge on delamination, Composite Materials: Fatigue and Fracture, Third Volume, ASTM STP 1110, TK O’Brien (ed), Am Soc for Testing and Materials, Philadelphia, 287–311.
Whitcomb JD (1992), Analysis of delamination growth near intersecting ply cracks, J. Compos. Mater. 26(12), 1844–1858.
Zhang J and Herrman KP (1997), Delamination cracking between plies of different orientation angles in composite laminates, 1st Int. Conf on Damage and Failure of Interfaces, Vienna, Austria, H-P Rossmanith (ed), Balkema, Rotterdam, 147–151.
Lee G , Gu¨rdal Z, and Griffin Jr OH (1995), Postbuckling of laminated composites with delaminations, AIAA J. 33(10), 1963–1970.
Sheinman I , Kardomateas GA, and Pelegri AA (1998), Delamination growth during pre- and post-buckling phases of delaminated composite laminates, Int. J. Solids Struct. 35(1-2), 19–31.
Crews Jr JH , Shivakumar KN, and Raju IS (1991), Strain energy release rate distributions for double cantilever beam specimens, AIAA J. 29(10), 1686–1691.
Yin W-L and Jane KC (1992), Refined buckling and postbuckling analysis of two- dimensional delaminations–I. Analysis and validation, Int. J. Solids Struct. 29(5), 591–610.
Jane KC and Yin W-L (1992), Refined buckling and postbuckling analysis of two- dimensional delaminations–II. Results for anisotropic laminates and conclusion, Int. J. Solids Struct. 29(5), 611–639.
Jih CJ and Sun CT (1993), Prediction of delamination in composite laminates subjected to low velocity impact, J. Compos. Mater. 27(7), 684–701.
Yin W-L (1998), Thermomechanical buckling of delaminated composite laminates, Int. J. Solids Struct. 35(20), 2639–2653.
Yin W-L (1998), Thermoelastic postbuckling response of strip delamination models, Int. J. Solids Struct. 35(25), 3331–3346.
Nairn JA (2000), Energy release rate analysis for adhesive and laminate double cantilever beam specimens emphasizing the effect of residual stresses, Int. J. Adhesion & Adhesives 20, 59–70.
Nairn JA (1997), Fracture mechanics of composites with residual thermal stresses, ASME J. Appl. Mech. 64(4), 804–810.
Whitcomb JC (1992), Analysis of a laminate with a postbuckled embedded delamination, including contact effects, J. Compos. Mater. 26(10), 1523–1535.
Tian Z and Swanson SR (1992), Effect of delamination face overlapping on strain energy release rate calculations, J. Compos. Mater. 21, 195–204.
Sekine H , Hu N, and Kouchakzadeh MA (2000), Buckling analysis of elliptically delaminated composite laminates with consideration of partial closure of delamination, Compos. Struct. 34(7), 551–574.
Rinderknecht S and Kro¨plin B (1995), A finite element model for delamination in composite plates, Mech. Compos. Mater. & Struct. 2, 19–47.
Rinderknecht S and Kro¨plin B (1997), A computational method for the analysis of delamination growth in composite plates, Comput. Struct. 64(1-4), 359–374.
Sun CT and Qian W (1998), A treatment of interfacial cracks in the presence of friction, Int. J. Fract. 94, 371–382.
Buchholz F-G , Rikards R, and Wang H (1997), Computational analysis of interlaminar fracture of laminated composites, Int. J. Fract. 86, 37–57.
Sun CT (2000), The proper use of fracture mechanics in the analysis of composite materials and laminates, Proc of2ndAsian-Australasian Conf on Composite Materials (ACCM-2000), 1, Kyongju, Korea, CS Hong and CG Kim (eds), Korean Soc for Composite Materials, Taejon, 65–75.
Larsson P-L (1991), On multiple delamination buckling and growth in composite plates, Int. J. Solids Struct. 27(13), 1623–1637.
Kutlu Z and Chang F-K (1992), Modeling compression failure of laminated composites containing multiple through-the-width delaminations, J. Compos. Mater. 26(3), 350–387.
Suemasu H , Kumagai T, and Gozu K (1998), Compressive behavior of multiply delaminated composite laminates Part 1: Experiment and analytical development, AIAA J. 36(7), 1279–1285.
Suemasu H and Kumagai T (1998), Compressive behavior of multiply delaminated composite laminates Part 2: Finite element analysis, AIAA J. 36(7), 1286–1290.
Suemasu H and Majima O (1996), Multiple delaminations and their severity in circular axisymmetric plates subjected to transverse loading, J. Compos. Mater. 30(4) 441–453.
Suemasu H (1993), Postbuckling behaviors of composite panels with multiple delaminations, J. Compos. Mater. 27(11), 1077–1096.
Suemasu H (1993), Effects of multiple delaminations on compressive buckling behaviors of composite panels, J. Compos. Mater. 27(12), 1172–1191.
Kouchakzadeh MA and Sekine H (2000), Compressive buckling analysis of rectangular composite laminates containing multiple delaminations, Compos. Struct. 50, 249–255.
Kyoung W-M , Kim C-G, and Hong C-S (1999), Buckling and postbuckling behavior of composite cross-ply laminates with multiple delaminations, Compos. Struct. 43, 257–274.
Huang H and Kardomateas GA (1997), Post-buckling analysis of multiply delaminated composite plates, ASME J. Appl. Mech. 64, 842–846.
Lee J , Griffin Jr OH, and Gu¨rdal Z (1995), Buckling and postbuckling of circular plates containing concentric penny-shaped delaminations, ASME J. Appl. Mech. 56(6), 1053–1063.
Stevanovic D , Jar P-YB, Kalyanasundaram S, and Lowe A (2000), On crack- initiation conditions for mode I and mode II delamination testing of composite materials, Compos. Sci. Technol. 60, 1879–1887.
Davies P , Moulin C, Kausch HH, and Fischer M (1990), Measurement of GIC and GIIC in carbon/epoxy composites, Compos. Sci. Technol. 39, 193–205.
Davies P , Cantwell W, and Kausch HH (1989), Measurement of initiation values of GIC in IM6/PEEK composites, Compos. Sci. Technol. 35, 301–313.
Robinson P , Foster S, and Hodgkinson JM (1996), The effects of starter film thickness, residual stresses and layup on GIC of a 0/0 interface, Adv Compos Lett 5(6), 159–163.
Guo C and Sun CT (1998), Dynamic Mode-I crack–propagation in a carbon/epoxy composite, Compos. Sci. Technol. 58, 1405–1410.
Thesken JC (1995), A theoretical and experimental investigation of dynamic delamination in composites, Fatigue Fract. Eng. Mater. 18(10), 1133–1154.
Choi NS (2001), Rate effects on the delamination fracture of multidirectional carbon-fiber/epoxy composites under mode I loading, J. Mater. Sci. 36(9), 2257–2270.
Berger L and Cantwell WJ (2001), The effect of temperature and loading rate on the mode II interlaminar fracture properties of a carbon fiber reinforced phenolic, Polym. Compos. 22(1), 165–173.
Cowley KD and Beaumont PWR (1997), The interlaminar and intralaminar fracture toughness of carbon-fiber/polymer composites: The effect of temperature, Compos. Sci. Technol. 57, 1433–1444.
Asp LE (1998), The effects of moisture and temperature on the interlaminar delamination toughness of a carbon/epoxy composite, Compos. Sci. Technol. 58, 967–977.
Ozdil F and Carlsson LA (2000), Characterization of mode I delamination growth in glass/epoxy composite cylinders, J. Compos. Mater. 34(5), 398–419.
Rasheed HA and Tassoulas JL (2001), Delamination growth in long composite tubes under external pressure, Int. J. Fract. 108, 1–23.
Schellekens JCJ and De Borst R (1996), On the numerical modeling of edge delamination in composites, Key Eng. Mater. 121–122, 131–160.
Robinson P, Besant T, and Hitchings D (1999), Delamination growth prediction using a finite element approach, Proc of 2nd ESIS TC4 Conf on Fracture of Polymers, Composites, and Adhesives, JG Williams and A Pavan (eds), 135–147.
Corigliano A (1993), Formulation, identification and use of interface models in the numerical analysis of composite delamination, Int. J. Solids Struct. 30(20), 2779–2811.
Allix O, Daudeville L, and Lade`veze P (1991), Delamination and damage mechanics, ESIS11, Mechanics and Mechanisms of Damage in Composites and Multi-Materials, D Baptiste (ed), 143–157.
Allix O, Lade`veze P, and Le´ve^que D (1997), On the identification of an interface damage model for the prediction of delamination initiation and growth, Proc of1stInt Conf on Damage and Failure of Interfaces, Vienna, Austria, H-P Rossmanith (ed), Balkema, Rotterdam, 153–160.
Gornet L, Hochard C, and Lade`veze P (1997), Examples of delamination predictions by a damage computational approach, Proc of1stInt Conf on Damage and Failure of Interfaces, Vienna, Austria, H-P Rossmanith (ed), Balkema, Rotterdam, 161–169.
Allix O and Corigliano A (1996), Modeling and simulation of crack propagation in mixed-modes interlaminar fracture specimens, Int. J. Fract. 77, 111–140.
Point N and Sacco E (1996), A delamination model for laminated composites, Int. J. Fract. 33(4), 483–509.
Point N and Sacco E (1998), Mathematical properties of a delamination model, Math. Comput. Modell. 28(4–8), 359–371.
Jansson NE and Larsson R (2001), A damage model for simulation of mixed-mode delamination growth, Compos. Struct. 53, 409–417.
Mi Y , Crisfield MA, and Davies GAO (1998), Progressive delamination using interface elements, J. Compos. Mater. 32(14), 1246–1272.
de Moura MFSF , Gonc¸alves JPM, Marques AT, and de Castro PMST (1997), Modeling compression failure after low velocity impact on laminated composites using interface elements, J. Compos. Mater. 31(15), 1462–1479.
de Moura MFSF , Gonc¸alves JPM, Marques AT, and de Castro PMST (2000), Prediction of compressive strength of carbon-epoxy laminates containing delamination by using a mixed-mode damage model, Compos. Struct. 50, 151–157.
Liu D , Xu L, and Lu X (1994), Stress analysis of imperfect composite laminates with an interlaminar bonding theory, Int. J. Numer. Methods Eng. 37, 2819–2839.
Cui W and Wisnom MR (1993), A combined stress based and fracture mechanics based model for predicting delamination in composites, Composites 24, 467–474.
Bui VQ , Marechal E, and Nguyen-Dang H (2000), Imperfect interlaminar interfaces in laminated composites: interlaminar stresses and strain-energy release rates, Compos. Sci. Technol. 60, 131–143.
Yan A-M , Marechal E, and Nguyen-Dang H (2001), A finite-element model of mixed-mode delamination in laminated composites with an R-curve effect, Compos. Sci. Technol. 61, 1413–1427.
Williams TO and Addessio FL (1997), A general theory for laminated plates with delaminations, Int. J. Solids Struct. 34(16), 2003–2024.
Williams TO (2001), Efficiency and accuracy considerations in a unified plate theory with delamination, Compos. Struct. 52, 27–40.
El-Sayed S and Sridharan S (2001), Predicting and tracking interlaminar crack growth in composites using a cohesive layer model, Obes. Res. 32, 545–553.
Mohammadi S , Owen DRJ, and Peric D (1998), A combined finite/discrete element algorithm for delamination analysis of composites, Finite Elem. Anal. Design 28, 321–336.
Borg R , Nilsson L, and Simonsson K (2001), Simulation of delamination in fiber composites with a discrete cohesive failure model, Compos. Sci. Technol. 61, 667–677.
Shahwan KW and Waas AM (1997), Non-self-similar decohesion along a finite interface of unilaterally constrained delaminations, Proc. R. Soc. London, Ser. A 453, 515–550.
Whitcomb JD (1989), Three-dimensional analysis of a postbuckled embedded delamination, J. Compos. Mater. 23, 862–889.
Klug J , Wu XX, and Sun CT (1996), Efficient modeling of postbuckling delamination growth in composite laminates using plate elements, posite laminates using plate elements, AIAA J. 34(1), 178–184.
Pavier MJ and Clarke MP (1996), A specialized composite plate element for problems of delamination buckling and growth, Compos. Struct. 34, 43–53.
Zou Z , Reid SR, Soden PD, and Li S (2001), Mode separation of energy release rate for delamination in composite laminates using sublaminates, Int. J. Solids Struct. 38, 2597–2613.
Toya M , Aritomi M, and Chosa A (1997), Energy release rates for an interface crack embedded in a laminated beam subjected to three point bending, ASME J. Appl. Mech. 64, 375–382.
Chattopadhyay A and Gu H (1994), New higher order plate theory in modeling delamination buckling of composite laminates, AIAA J. 32(8), 1709–1716.
Sankar BV and Sonik V (1995), Pointwise energy release rate in delaminated plates, AIAA J. 33(7), 1312–1318.
Falzon BG , Hitchings D, and Besant T (1999), Fracture mechanics using a 3D composite element, Compos. Struct. 45, 29–39.
Parisch H (1995), A continuum-based shell theory for non-linear applications, Int. J. Numer. Methods Eng. 38, 1855–1883.
Barbero EJ and Reddy JN (1991), Modeling of delamination in composite laminates using a layer-wise plate theory, Int. J. Solids Struct. 28(3), 373–388.
Moorthy CMD and Reddy JN (1998), Modelling of laminates using a layerwise element with enhanced strains, Int. J. Numer. Methods Eng. 43, 755–779.
Moorthy CMD and Reddy JN (1999), Recovery of interlaminar stresses and strain energy release rates in composite laminates, Finite Elem. Anal. Design 33, 1–27.
Kru¨ger R and Ko¨nig M (1997), Prediction of delamination growth under cyclic loading, Composite Materials: Fatigue and Fracture, Sixth Volume, STP 1285, EA Armanios (ed), ASTM, Philadelphia, 162–178.
Krueger R and O’Brien TK (2001), A shell/3D modeling technique for the analysis of delaminated composite laminates, Composites, Part A 32, 25–44.
Ang HE , Torrance JE, and Tan CL (1996), Boundary element analysis of orthotropic delamination specimens with interface cracks, Eng. Fract. Mech. 54(5), 601–615.
Kimachi H , Tanaka H, and Tanaka K (1999), Transition from small to large interlaminar cracks in fiber-reinforced laminated composites, JSME Int. J., Ser. A 42(4), 537–545.
Lindemann J and Becker W (2000), Analysis of the free-edge effect in composite laminates by the boundary finite element method, Mech. Compos. Mater. 36(3), 207–214.
Chai H , Babcock CD, and Knauss WG (1981), One dimensional modelling of failure in laminated plates by delamination buckling, Int. J. Solids Struct. 17(11), 1069–1083.
Bottega WJ and Maewal A (1983), Delamination buckling and growth in laminates, ASME J. Appl. Mech. 50, 184–189.
Yin W-L (1985), Axisymmetric buckling and growth of a circular delamination in a compressed laminate, Int. J. Solids Struct. 21(5), 503–514.
Chai H and Babcock CD (1985), Two-dimensional modelling of compressive failure in delaminated laminates, J. Compos. Mater. 19, 67–98.
Simitses GJ , Sallam S, and Yin W-L (1985), Effect of delamination of axially loaded homogeneous laminated plates, AIAA J. 23(9), 1437–1444.
Chai H , Knauss WG, and Babcock CD (1983), Observation of damage growth in compressively loaded laminates, Exp. Mech. 23, 329–337.
Simitses GJ (1995), Delamination buckling of flat laminates, Buckling and Postbuckling of Composite Plates, GJ Turvey and IH Marshall (eds), Chapman & Hall, London, 299–328.
Suemasu H (1991), Analytical study of shear buckling and postbuckling behaviors of composite plates with a delamination, JSME Int. J. Series I 34(2), 135–142.
Suemasu H , Gozu K, and Hayashi K (1995), Compressive buckling of rectangular composite plates with a free-edge delamination, AIAA J. 33(2), 312–319.
Davidson BD (1991), Delamination buckling: theory and experiment, J. Compos. Mater. 25, 1351–1378.
Kardomateas GA (1993), The initial post-buckling and growth behavior of internal delaminations in composite plates, ASME J. Appl. Mech. 60, 903–910.
Kardomateas GA and Pelegri AA (1994), The stability of delamination growth in compressively loaded composite plates, Int. J. Fract. 65, 261–276.
Kardomateas GA and Pelegri AA (1996), Growth behavior of internal delaminations in composite beam/plates under compression: effect of the end conditions, Int. J. Fract. 75, 49–67.
Kardomateas GA (1996), Predicting the growth of internal delaminations under monotonic or cyclic compression, Key Eng. Mater. 121–122, 441–462.
Bruno D and Greco F (2000), An asymptotic analysis of delamination buckling and growth in layered plates, Int. J. Solids Struct. 37, 6239–6276.
Larsson P-L (1991), On delamination buckling and growth in circular and annular orthotropic plates, Int. J. Solids Struct. 27(1), 15–28.
Chen H-P (1991), Shear deformation theory for compressive delamination buckling and growth, AIAA J. 29(5), 813–819.
Kyoung W-M and Kim C-G (1995), Delamination buckling and growth of composite laminated plates with transverse shear deformation, J. Compos. Mater. 29(15), 2047–2068.
Sheinman I and Soffer M (1991), Post-buckling analysis of composite delaminated beams, Int. J. Solids Struct. 27(5), 639–646.
Anastasiadis JS and Simitses GJ (1991), Spring simulated delamination of axially-loaded flat laminates, Compos. Struct. 17, 67–85.
Madenci E and Westmann RA (1993), Local delamination growth in layered systems under compressive load, ASME J. Appl. Mech. 60, 895–902.
Stora˚kers B and Nilsson K-L (1993), Imperfection sensitivity at delamination buckling and growth, Int. J. Solids Struct. 30(8), 1057–1074.
Mukherjee YX , Xie Z, and Ingraffea AR (1991), Delamination buckling of laminated plates, Int. J. Numer. Methods Eng. 32, 1321–1337.
Srivatsa KS , Vidyashankar BR, Krishna Murty AV, and Vijaykumar K (1993), Buckling of laminated plates containing delaminations, Comput. Struct. 48, 907–912.
Hu N Fukunaga H , Sekine H, and Kouchakzadeh MA (1999), Compressive buckling of laminates with an embedded delamination, Compos. Sci. Technol. 59, 1247–1260.
Jøgensen O (1993), Delamination vs. matrix cracking in layered composites subjected to transverse loading, Engrg. Frac. Mech. 46(6), 945–953.
Cochelin B and Potier-Ferry M (1991), A numerical model for buckling and growth of delaminations in composite laminates, Comput. Methods Appl. Mech. Eng. 89, 361–380.
Kim H-J (1997), Postbuckling analysis of composite laminates with a delamination, Comput. Struct. 62(6), 975–983.
Kim H-J and Hong C-S (1997), Buckling and postbuckling behavior of composite laminates with an embedded delamination, Compos. Sci. & Technol. 57, 557–564.
Ochoa OO and Castano-Pardo D (1991), Delamination in composites: non-linear effects, Int. J. Non-Linear Mech. 26(3–4), 319–333.
Gaudenzi P , Perugini P, and Spadaccia F 1998), Post-buckling analysis of a delaminated composite plate under compression, Compos. Struct. 40, 231–238.
Perugini P , Riccio A, and Scaramuzzino F (1999), Influence of delamination growth and contact phenomena on the compressive behavior of composite panels, J. Compos. Mater. 33(15), 1433–1456.
Pradhan SC and Tay TE (1998), Three-dimensional finite element modelling of delamination growth in notched composite laminates under compression loading, Eng. Fract. Mech. 60(2), 157–171.
Tay TE and Shen F (2000), Prediction of delamination growth in laminated composites, Proc of2ndAsian-Australasian Conf on Composite Materials (ACCM-2000), 2, (Kyongju, Korea), CS Hong and CG Kim (eds), Korean Soc for Composite Materials, Taejon, 1033–1038.
Tay TE and Shen F (2002), Analysis of growth in laminated composites with consideration for residual thermal stress effects, J Compos Mater 36(11), 1299–1320.
Shen F , Lee KH, and Tay TE (2001), Modeling delamination growth in laminated composites, Compos. Sci. Technol. 61, 1239–1251.
Gaudenzi P , Perugini P, and Riccio A (2001), Post-buckling behavior of composite panels in the presence of unstable delaminations, Compos. Struct. 51, 301–309.
Riccio A , Perugini P, and Scaramuzzino F (2000), Modelling compression behavior of delaminated composite panels, Comput. Struct. 78, 73–81.
Mukherjee YX , Gulrajani SN, Mukherjee S, and Netravali AN (1994), A numerical and experimental study of delaminated layered composites, J. Compos. Mater. 28(9), 837–870.
Czarnocki P (1999), Effect of reinforcement arrangement on distribution of GI,GII and GIII along fronts of circular delaminations in orthotropic composite plates, Proc. of2ndESIS TC4 Conf on Fracture of Polymers, Composites and Adhesives, JG Williams and A Pavan (eds), 49–60.
Nilsson K-F , Asp LE, Alpman JE, and Nystedt L (2001), Delamination buckling and growth for delaminations at different depths in a slender composite panel, Int. J. Solids Struct. 38, 3039–3071.
Nilsson K-F , Thesken JC, Sindelar P, Giannakopoulos AE, and Stora˚kers B (1993), A theoretical and experimental investigation of buckling induced delamination growth, J. Mech. Phys. Solids 41, 749–782.
Nilsson K-F and Giannakopoulos AE (1995), A finite element analysis of configurational stability and finite growth of buckling driven delamination, J. Mech. Phys. Solids 43, 1983–2021.
Giannakopoulos AE , Nilsson K-F, and Tsamasphyros G (1995), The contact problem at delamination, ASME J. Appl. Mech. 62, 989–996.
Nilsson K-F , Asp LE, and Sjo¨gren A (2001), On transition of delamination growth behavior for compression loaded composite panels, Int. J. Solids Struct. 38, 8407–8440.
Jo¨nsson N and Stora˚kers B (1996), On buckling and fracture behavior of delaminations, Eur. J. Mech. A/Solids 15(2), 183–198.
Pavier MJ and Chester WT (1990), Compression failure of carbon fiber reinforced coupons containing central delaminations, Composites 21, 23–31.
Pavier MJ and Clarke MP (1996), Finite element prediction of the post-impact compressive strength of fiber composites, Compos. Struct. 36, 141–153.
Short GJ , Guild FJ, and Pavier MJ (2001), The effect of delamination geometry on the compressive failure of composite laminates, Compos. Sci. Technol. 61, 2075–2086.
Gu H and Chattopadhyay A (1999), An experimental investigation of delamination buckling and postbuckling of composite laminates, Compos. Sci. Technol. 59, 903–910.
Aslan M and Banks WM (1998), The effect of multiple delamination on postbuckling behavior of laminated composite plates, Compos. Struct. 42, 1–12.
Peck SO and Springer GS (1991), The behavior of delaminations in composite plates–analytical and experimental results, J. Compos. Mater. 25, 907–929.
Melin LG and Scho¨n J (2001), Buckling behavior and delamination growth in impacted composite specimens under fatigue load: an experimental study, Compos. Sci. Technol. 61, 1841–1852.
Yeh M-K and Tan C-M (1994), Buckling of elliptically delaminated composite plates, J. Compos. Mater. 28(1), 36–52.
Asp LE , Nilsson S, and Singh S (2001), An experimental investigation of the influence of delamination growth on the residual strength of impacted laminates, Composites, Part A 32, 1229–1235.
Lachaud F , Lorrain B, Michel L, and Barriol R (1998), Experimental and numerical study of delamination caused by local buckling of thermoplastic and thermoset composites, Compos. Sci. Technol. 58, 727–733.
Kru¨ger R , Rinderknecht S, Ha¨nsel C, and Ko¨nig M (1996), Computational structural analysis and testing: an approach to understand delamination growth, Key Eng. Mater. 121–122, 181–202.
Simitses GJ (1996), Buckling of pressure-loaded, delaminated, cylindrical shells and panels, Key Eng. Mater. 121–122, 407–426.
Yin WL (1996), Snap buckling of thin delaminated layers in a contracting cylinder, Key Eng. Mater. 121–122, 427–440.
Kardomateas GA and Chung CB (1992), Thin film modeling of delamination buckling in pressure loaded laminated cylindrical shells, AIAA J. 30(8), 2119–2123.
Wu LC , Lo CY, Nakamura T, and Kushner A (1998), Identifying failure mechanisms of composite structures under compressive load, Int. J. Solids Struct. 35(12), 1137–1161.
Abraham FF , Brodbeck D, Rudge WE, and Xu X (1997), A molecular dynamics investigation of rapid fracture mechanics, J. Mech. Phys. Solids 45(9), 1595–1619.
Stevens MJ (2001), Interfacial fracture between highly cross-linked polymer networks and a solid surface: effect of interfacial bond density, Macromolecules 34, 2710–2718.