On cohesive element parameters and delamination modelling

Tay, 2003, Characterization and analysis of delamination fracture in composites: an overview of developments from 1990 to 2001, Appl Mech Rev, 56, 1, 10.1115/1.1504848

Schellekens, 1993, A non-linear finite element approach for the analysis of mode-I free edge delamination in composites, Int J Solids Struct, 30, 1239, 10.1016/0020-7683(93)90014-X

Corigliano, 1993, Formulation, identification and use of interface models in the numerical analysis of composite delamination, Int J Solids Struct, 30, 2779, 10.1016/0020-7683(93)90154-Y

Mi, 1998, Progressive delamination using interface elements, J Compos Mater, 32, 1246, 10.1177/002199839803201401

Blackman, 2003, The use of a cohesive zone model to study the fracture of fibre composites and adhesively-bonded joints, Int J Fract, 119, 25, 10.1023/A:1023998013255

Yang, 2005, Cohesive models for damage evolution in laminated composites, Int J Fract, 133, 107, 10.1007/s10704-005-4729-6

Dugdale, 1960, Yielding of steel sheets containing slits, J Mech Phys Solids, 8, 100, 10.1016/0022-5096(60)90013-2

Barenblatt, 1962, The mathematical theory of equilibrium cracks in brittle fracture, Adv Appl Mech, 7, 55, 10.1016/S0065-2156(08)70121-2

Park, 2011, Cohesive zone models: a critical review of traction-separation relationships across fracture surfaces, Appl Mech Rev, 64, 060802, 10.1115/1.4023110

Alfano, 2006, On the influence of the shape of the interface law on the application of cohesive-zone models, Compos Sci Technol, 66, 723, 10.1016/j.compscitech.2004.12.024

Gutkin, 2011, Modelling the R-curve effect and its specimen-dependence, Int J Solids Struct, 48, 1767, 10.1016/j.ijsolstr.2011.02.025

Park, 2012, Computational implementation of the PPR potential-based cohesive model in ABAQUS: educational perspective, Engng Fract Mech, 93, 239, 10.1016/j.engfracmech.2012.02.007

Shao, 2012, Discontinuous crack-bridging model for fracture toughness analysis of nacre, J Mech Phys Solids, 60, 1400, 10.1016/j.jmps.2012.04.011

Reeder, 2004, The use of doubler reinforcement in delamination toughness testing, Compos A Appl Sci Manuf, 35, 1337, 10.1016/j.compositesa.2004.02.021

ASTM D5528-13 Standard test method for mode I interlaminar fracture toughness of unidirectional fiber-reinforced polymer matrix composites; 2013.

ASTM D7905/D7905M-14 Standard test method for determination of the mode II interlaminar fracture toughness of unidirectional fiber-reinforced polymer matrix composites; 2014.

ASTM D6671/D6671M-13e1 standard test method for mixed mode I-mode II interlaminar fracture toughness of unidirectional fiber reinforced polymer matrix composites; 2013.

Alfano, 2001, Finite element interface models for the delamination analysis of laminated composites: mechanical and computational issues, Int J Num Meth Eng, 50, 1701, 10.1002/nme.93

Turon, 2007, An engineering solution for mesh size effects in the simulation of delamination using cohesive zone models, Eng Fract Mech, 74, 1665, 10.1016/j.engfracmech.2006.08.025

Harper, 2008, Cohesive zone length in numerical simulations of composite delamination, Eng Fract Mech, 75, 4774, 10.1016/j.engfracmech.2008.06.004

Soto, 2016, Cohesive zone length of orthotropic materials undergoing delamination, Eng Fract Mech, 159, 174, 10.1016/j.engfracmech.2016.03.033

Parmigiani, 2007, The effects of cohesive strength and toughness on mixed-mode delamination of beam-like geometries, Eng Fract Mech, 74, 2675, 10.1016/j.engfracmech.2007.02.005

Guiamatsia, 2009, Decohesion finite element with enriched basis functions for delamination, Compos Sci Technol, 69, 2616, 10.1016/j.compscitech.2009.08.002

Samimi, 2011, A three-dimensional self-adaptive cohesive zone model for interfacial delamination, Comput Meth Appl Mech Eng, 200, 3540, 10.1016/j.cma.2011.08.021

Lu, 2018, Adaptive floating node method for modelling cohesive fracture of composite materials, Eng Fract Mech, 194, 240, 10.1016/j.engfracmech.2018.03.011

Harper, 2012, A study on the influence of cohesive zone interface element strength parameters on mixed mode behaviour, Compos A Appl Sci Manuf, 43, 722, 10.1016/j.compositesa.2011.12.016

Daudeville, 1995, Delamination analysis by damage mechanics: some applications, Compos Eng, 5, 17, 10.1016/0961-9526(95)93976-3

Zou, 2002, Modelling interlaminar and intralaminar damage in filament-wound pipes under quasi-static indentation, J Compos Mater, 36, 477, 10.1177/0021998302036004539

Camanho, 2003, Numerical simulation of mixed-mode progressive delamination in composite materials, J Compos Mater, 37, 1415, 10.1177/0021998303034505

Yuan, 2014, Effects of the cohesive law on ductile crack propagation simulation by using cohesive zone models, Eng Fract Mech, 126, 1, 10.1016/j.engfracmech.2014.04.019

Zhao, 2014, Simulation of delamination growth in multidirectional laminates under mode I and mixed mode I/II loadings using cohesive elements, Compos Struct, 116, 509, 10.1016/j.compstruct.2014.05.042

Guo, 2013, Mesh dependence of transverse cracking in laminated metals with nanograined interface layers, Eng Fract Mech, 105, 211, 10.1016/j.engfracmech.2013.04.005

Turon, 2010, Accurate simulation of delamination growth under mixed-mode loading using cohesive elements: definition of interlaminar strengths and elastic stiffness, Compos Struct, 92, 1857, 10.1016/j.compstruct.2010.01.012

Sarrado, 2012, Assessment of energy dissipation during mixed-mode delamination growth using cohesive zone models, Compos A Appl Sci Manuf, 43, 2128, 10.1016/j.compositesa.2012.07.009

Turon, 2018, Accurate simulation of delamination under mixed-mode loading using a cohesive model with a mode-dependent penalty stiffness, Compos Struct, 184, 506, 10.1016/j.compstruct.2017.10.017

van der Meer, 2010, Mesh-independent modeling of both distributed and discrete matrix cracking in interaction with delamination in composites, Eng Fract Mech, 77, 719, 10.1016/j.engfracmech.2009.11.010

Higuchi, 2017, Numerical simulation of progressive damage and failure in composite laminates using XFEM/CZM coupled approach, Compos A Appl Sci Manuf, 95, 197, 10.1016/j.compositesa.2016.12.026

Ridha, 2014, Modelling complex progressive failure in notched composite laminates with varying sizes and stacking sequences, Compos A Appl Sci Manuf, 58, 16, 10.1016/j.compositesa.2013.11.012

Su, 2015, Progressive damage modeling of open-hole composite laminates under compression, Compos Struct, 122, 507, 10.1016/j.compstruct.2014.12.022

Falcó, 2018, Modelling and simulation methodology for unidirectional composite laminates in a Virtual Test Lab framework, Compos Struct, 190, 137, 10.1016/j.compstruct.2018.02.016

Hongkarnjanakul, 2013, Validation of low velocity impact modelling on different stacking sequences of CFRP laminates and influence of fibre failure, Compos Struct, 106, 549, 10.1016/j.compstruct.2013.07.008

Abir, 2017, On the relationship between failure mechanism and compression after impact (CAI) strength in composites, Compos Struct, 182, 242, 10.1016/j.compstruct.2017.09.038

Cui, 1992, A comparison of failure criteria to predict delamination of unidirectional glass/epoxy specimens waisted through the thickness, Composites, 23, 158, 10.1016/0010-4361(92)90436-X

Benzeggagh, 1996, Measurement of mixed-mode delamination fracture toughness of unidirectional glass/epoxy composites with mixed-mode bending apparatus, Compos Sci Technol, 56, 439, 10.1016/0266-3538(96)00005-X

Turon, 2006, A damage model for the simulation of delamination in advanced composites under variable-mode loading, Mech Mater, 38, 1072, 10.1016/j.mechmat.2005.10.003

ASTM D3518/D3518M-13 Standard test method for in-plane shear response of polymer matrix composite materials by tensile test of a ±45° laminate; 2013.

ASTM D2344/D2344M-16 Standard test method for short-beam strength of polymer matrix composite materials and their laminates; 2016.

ASTM D3039/D3039M-17 Standard test method for tensile properties of polymer matrix composite materials; 2017.

Rice, 1968, A path independent integral and the approximate analysis of strain concentration by notches and cracks, J Appl Mech, 35, 379, 10.1115/1.3601206

Sun, 2012, Chapter 4 – energy release rate, 77

Suo, 1992, Delamination R-curve phenomena due to damage, J Mech Phys Solids, 40, 1, 10.1016/0022-5096(92)90198-B

Sørensen, 2003, Determination of cohesive laws by the J integral approach, Eng Fract Mech, 70, 1841, 10.1016/S0013-7944(03)00127-9

Shet, 2004, Effect of the shape of T–δ cohesive zone curves on the fracture response, Mech Adv Mater Struct, 11, 249, 10.1080/15376490490427207

Sørensen, 2006, Determination of mixed mode cohesive laws, Eng Fract Mech, 73, 2642, 10.1016/j.engfracmech.2006.04.006

Högberg, 2007, Constitutive behaviour of mixed mode loaded adhesive layer, Int J Solids Struct, 44, 8335, 10.1016/j.ijsolstr.2007.06.014

Sørensen, 2009, Strength scaling of adhesive joints in polymer–matrix composites, Int J Solids Struct, 46, 741, 10.1016/j.ijsolstr.2008.09.024

Ji, 2010, Effects of adhesive thickness on global and local Mode-I interfacial fracture of bonded joints, Int J Solids Struct, 47, 2445, 10.1016/j.ijsolstr.2010.05.006

Sarrado, 2016, An experimental analysis of the fracture behavior of composite bonded joints in terms of cohesive laws, Compos A Appl Sci Manuf, 90, 234, 10.1016/j.compositesa.2016.07.004

Arrese, 2017, A novel procedure to determine the cohesive law in DCB tests, Compos Sci Technol, 152, 76, 10.1016/j.compscitech.2017.09.012

Hallett, 2008, Modelling the interaction between matrix cracks and delamination damage in scaled quasi-isotropic specimens, Compos Sci Technol, 68, 80, 10.1016/j.compscitech.2007.05.038

Hallett, 2009, An experimental and numerical investigation into the damage mechanisms in notched composites, Compos Part A: Appl Sci Manuf, 40, 613, 10.1016/j.compositesa.2009.02.021

Fang, 2011, An augmented cohesive zone element for arbitrary crack coalescence and bifurcation in heterogeneous materials, Int J Num Meth Eng, 88, 841, 10.1002/nme.3200

Iarve, 2011, Mesh-independent matrix cracking and delamination modeling in laminated composites, Int J Num Meth Eng, 88, 749, 10.1002/nme.3195

Iarve, 2018, Discrete damage modeling of static bearing failure in laminated composites, Compos Part A: Appl Sci Manuf, 108, 30, 10.1016/j.compositesa.2018.02.019

Sun, 2018, Failure mechanisms and damage evolution of laminated composites under compression after impact (CAI): experimental and numerical study, Compos A Appl Sci Manuf, 104, 41, 10.1016/j.compositesa.2017.10.026

Ye, 2011, Prediction of the cohesive strength for numerically simulating composite delamination via CZM-based FEM, Compos B Eng, 42, 1076, 10.1016/j.compositesb.2011.03.021

van der Meer, 2012, Computational modeling of complex failure mechanisms in laminates, J Compos Mater, 46, 603, 10.1177/0021998311410473

van der Meer, 2012, Mesolevel modeling of failure in composite laminates: constitutive, kinematic and algorithmic aspects, Arch Comput Meth Eng, 19, 381, 10.1007/s11831-012-9076-y

Chen, 2013, Numerical analysis of size effects on open-hole tensile composite laminates, Compos A Appl Sci Manuf, 47, 52, 10.1016/j.compositesa.2012.12.001

Chen, 2016, Modelling the tensile failure of composites with the floating node method, Comput Meth Appl Mech Eng, 308, 414, 10.1016/j.cma.2016.05.027

Lu, 2018, A separable cohesive element for modelling coupled failure in laminated composite materials, Compos A Appl Sci Manuf, 107, 387, 10.1016/j.compositesa.2018.01.014

Topac, 2017, Experimental and computational study of the damage process in CFRP composite beams under low-velocity impact, Compos A Appl Sci Manuf, 92, 167, 10.1016/j.compositesa.2016.06.023

Zhi, 2018, Geometrically nonlinear analysis of matrix cracking and delamination in composites with floating node method, Comput Mech

Fan, 2008, Cohesive zone with continuum damage properties for simulation of delamination development in fibre composites and failure of adhesive joints, Eng Fract Mech, 75, 3866, 10.1016/j.engfracmech.2008.02.010

Davila, 2003, Analysis of the effects of residual strains and defects on skin/stiffener debonding using decohesion elements

Camanho, 2007, Prediction of size effects in notched laminates using continuum damage mechanics, Compos Sci Technol, 67, 2715, 10.1016/j.compscitech.2007.02.005

Swindeman, 2013, Strength prediction in open hole composite laminates by using discrete damage modeling, AIAA J, 51, 936, 10.2514/1.J051773

Wang, 2011, Residual strength of composite laminates containing scarfed and straight-sided holes, Compos A Appl Sci Manuf, 42, 1951, 10.1016/j.compositesa.2011.08.020

Zhou, 2017, Material orthotropy effects on progressive damage analysis of open-hole composite laminates under tension, J Reinf Plast Compos., 36, 1473, 10.1177/0731684417710329

De Carvalho N, Seshadri B, Ratcliffe J, Mabson G, Deobald L. Simulating matrix crack and delamination interaction in a clamped tapered beam; 2017.

Chen, 2017, Modelling delamination migration in angle-ply laminates, Compos Sci Technol, 142, 145, 10.1016/j.compscitech.2017.02.010

Hu, 2018, Modelling delamination migration using virtual embedded cohesive elements formed through floating nodes, Compos Struct, 204, 500, 10.1016/j.compstruct.2018.07.120

Ling, 2011, Nonlinear fracture analysis of delamination crack jumps in laminated composites, J Aerosp Eng, 24, 181, 10.1061/(ASCE)AS.1943-5525.0000008

Hu, 2016, Integrated XFEM-CE analysis of delamination migration in multi-directional composite laminates, Compos A Appl Sci Manuf, 90, 161, 10.1016/j.compositesa.2016.07.007

Tay, 2014, Recent efforts toward modeling interactions of matrix cracks and delaminations: an integrated XFEM-CE approach, Adv Compos Mater, 23, 391, 10.1080/09243046.2014.915092

Soto, 2018, A methodology to simulate low velocity impact and compression after impact in large composite stiffened panels, Compos Struct, 204, 223, 10.1016/j.compstruct.2018.07.081

McElroy, 2017, Interaction of delaminations and matrix cracks in a CFRP plate, Part II: Simulation using an enriched shell finite element model, Compos A Appl Sci Manuf, 103, 252, 10.1016/j.compositesa.2017.10.006

Bouvet, 2012, Low velocity impact modeling in composite laminates capturing permanent indentation, Compos Sci Technol, 72, 1977, 10.1016/j.compscitech.2012.08.019

Zhou, 2017, Progressive damage simulation of scaling effects on open-hole composite laminates under compression, J Reinf Plast Compos, 36, 1369, 10.1177/0731684417708614

Hoos, 2016, Static strength prediction in laminated composites by using discrete damage modeling, J Compos Mater, 51, 1473, 10.1177/0021998316651986

Yang, 2015, On crack initiation in notched, cross-plied polymer matrix composites, J Mech Phys Solids, 78, 314, 10.1016/j.jmps.2015.01.010

Yang, 2006, Fracture length scales in human cortical bone: the necessity of nonlinear fracture models, Biomaterials, 27, 2095, 10.1016/j.biomaterials.2005.09.040

Crossman, 1982, The dependence of transverse cracking and delamination on ply thickness in graphite/epoxy laminates, 118

O'Brien, 1982, Characterization of delamination onset and growth in a composite laminate, 140

Pipes, 1970, Interlaminar stresses in composite laminates under uniform axial extension, J Compos Mater, 4, 538, 10.1177/002199837000400409

Pagano, 1974, On the calculation of interlaminar normal stress in composite laminate, J Compos Mater, 8, 65, 10.1177/002199837400800106

Bertolini, 2009, Multi-level experimental and numerical analysis of composite stiffener debonding. Part 1: non-specific specimen level, Compos Struct, 90, 381, 10.1016/j.compstruct.2009.04.001

Green, 2007, An experimental investigation into the tensile strength scaling of notched composites, Compos Part A: Appl Sci Manuf, 38, 867, 10.1016/j.compositesa.2006.07.008

Panettieri, 2016, A sensitivity study on cohesive elements parameters: towards their effective use to predict delaminations in low-velocity impacts on composites, Compos Struct, 137, 130, 10.1016/j.compstruct.2015.11.011