Layerwise modeling of progressive damage in fiber-reinforced composite laminates
Tóm tắt
This paper investigates the effects of discrete layer transverse shear strain and discrete layer transverse normal strain on the predicted progressive damage response and global failure of fiber-reinforced composite laminates. These effects are isolated using a hierarchical, displacement-based 2-D finite element model that includes the first-order shear deformation model (FSD), type-I layerwise models (LW1) and type-II layerwise models (LW2) as special cases. Both the LW1 layerwise model and the more familiar FSD model use a reduced constitutive matrix that is based on the assumption of zero transverse normal stress; however, the LW1 model includes discrete layer transverse shear effects via in-plane displacement components that are C
0 continuous with respect to the thickness coordinate. The LW2 layerwise model utilizes a full 3-D constitutive matrix and includes both discrete layer transverse shear effects and discrete layer transverse normal effects by expanding all three displacement components as C
0 continuous functions of the thickness coordinate. The hierarchical finite element model incorporates a 3-D continuum damage mechanics (CDM) model that predicts local orthotropic damage evolution and local stiffness reduction at the geometric scale represented by the homogenized composite material ply. In modeling laminates that exhibit either widespread or localized transverse shear deformation, the results obtained in this study clearly show that the inclusion of discrete layer kinematics significantly increases the rate of local damage accumulation and significantly reduces the predicted global failure load compared to solutions obtained from first-order shear deformable models. The source of this effect can be traced to the improved resolution of local interlaminar shear stress concentrations, which results in faster local damage evolution and earlier cascading of localized failures into widespread global failure.
Tài liệu tham khảo
Allen, D.H., Harris, C.E., Groves, S.E.: A thermomechanical constitutive theory for elastic composites with distributed damage – part ii: application to matrix cracking in laminated composites. Int. J. Solids Struct. 23(9), 319–1338 (1987a)
Allen, D.H., Harris, C.E., Groves, S.E.: A thermomechanical constitutive theory for elastic composites with distributed damage – part i: theoretical development. Int. J. Solids Struct. 23(9), 1301–1318 (1987b)
Allix, O., Ladeveze, P.: A damage prediction mehtod for composite structures. Int. J. Numer. Methods Eng. 27, 271–283 (1989)
Allix, O., Ladeveze, P.: Interlaminar interface modelling for the prediction of laminate delamination. Composite Struct. 22, 235–242 (1992)
Barbero, E., De Vivo, L.: A constitutive model for elastic damage in fiber-reinforced PMC laminae. Int. J. Damage Mech. 10, 73–93 (2001)
Barbero, E., Lonetti, P.: An inelastic damage model for fiber reinforced laminates. J. Composite Mater. 36(8), 941–962 (2002)
Chiu, W.K., Galea, S.C., Koss, L.L., Rajic, N.: Damage detection in bonded repairs using piezoceramics. Smart Mater. Struct. 9(4), 466–475 (2000)
Chopra, I.: Review of state of art of smart structures and integrated systems. AIAA J. 40(11), 2145–2187 (2002)
Herakovich, C.T.: Mechanics of Fibrous Composites. John Wiley, New York (1998)
Krajcinovic, D.: Damage Mechanics. North Holland, Amsterdam (1996)
Ladeveze, P., Le Dantec, E.: Damage modeling of the elementary ply for laminated composites. Composite Sci. Technol. 43(3), 257–267 (1992)
Ladeveze, P., Allix, O., Deu, J.-F., Leveque, D.: A mesomodel for localisation and damage computation in laminates. Comput. Methods Appl. Mech. Eng. 183, 105–122 (2000)
Lee, H., Peng, K., Wang, J.: An anisotropic damage criterion for deformation instability and its application to forming limit analysis of metal plates. Eng. Fract. Mech. 21, 1031–1054 (1985)
Lee, J.W., Allen, D.H., Harris, C.E.: Internal state variable approach for predicting stiffness reductions in fibrous laminated composites with matrix cracks. J. Composite Mater. 23, 1273–1291 (1989)
Lemaitre, J.: A Course on Damage Mechanics, 2nd edn. Springer, Berlin (1996)
Lene, F.: Damage constitutive relations for composite␣materials. Eng. Fract. Mech. 25(5/6), 713–728 (1986)
Loewy, R.G.: Recent developments in smart structures with aeronautical applications. Smart Mater. Struct. 6, R11–R42 (1997)
Lonetti, P., Zinno, R., Greco, F., Barbero, E.: Interlaminar damage model for polymer matrix composites. J. Composite Mater. 37(16), 1485–1504 (2003)
Reddy, J.N.: A generalization of two-dimensional theories of laminated composite plates. Commun. Appl. Numer. Methods 3, 173–180 (1987)
Reddy, J.N.: On the generalization of displacement-based laminate theories. Appl. Mech. Rev. 42(11), Part 2, S213–S222 (1989)
Reddy, J.N.: Mechanics of Laminated Composite Plates and Shells. Theory and Analysis, 2nd edn. CRC Press, Boca Raton, FL (2004)
Reddy, J.N., Robbins, D.H. Jr.: Computational modelling of damage and failures in composite laminates, Chapter 13. In: Stein, E., de Borst, R., Hughes, T.J.R. (eds.) Encyclopedia of Computational Mechanics, vol. 2: Solids and Structures, pp. 431–460. John Wiley, Chichester, UK (2004)
Robbins, D.H. Jr., Reddy, J.N.: Modelling of thick composites using a layerwise laminate theory. Int. J. Numer. Methods Eng. 36, 655–677 (1993)
Robbins, D.H. Jr., Reddy, J.N., Rostam-Abadi, F.: An efficient continuum damage mechanics formulation for first order shear deformable laminate elements. Mech. Adv. Mater. Struct. 12, 391–412 (2005)
Skrzypek, J., Ganczarski, A.: Modeling of Material Damage and Failure of Structures. Springer, Berlin (1999)
Talreja, R.: A continuum mechanics characterization of damage in composite materials. Proc. R. Soc. A399, 195–216 (1985)
Voyiadjis, G.Z., Deliktas, B.: A coupled anisotropic damage model for the inelastic response of composite materials. Comput. Methods Appl. Mech. Eng. 183, 159–199 (2000)
Voyiadjis, G.Z., Kattan, P.I.: Damage of fiber reinforced composite materials with micromechanical characterization. Int. J. Solids Struct. 30, 2757–2778 (1993)
Voyiadjis, G.Z., Kattan P.I.: Advances in Damage Mechanics: Metals and Metal Matrix Composites. Elsevier, Amsterdam (1999)
Voyiadjis, G.Z., Park, T.: Kinematics description of damage for finite strain plasticity. J. Eng. Sci. 37, 803–830 (1999)