Computational analysis of progressive failure in a notched laminate including shear nonlinearity and fiber failure

A computational model for mesolevel analysis of progressive laminate failure is presented. A previously developed discrete model for mesh independent representation of matrix cracks is combined with continuum descriptions for fiber failure and matrix nonlinearity. For fiber failure, a continuum damage model is introduced and a phenomenological damage/plasticity law is used for the shear nonlinearity. Special attention is paid to the application of the dissipation based arclength method to these models, where the presence of residual stresses is also taken into account. With the analysis of a notched cross-ply laminate the importance of the different components of the model to capture the complete failure process correctly is exemplified.

[1]  Michael R Wisnom,et al.  The role of delamination in strength, failure mechanism and hole size effect in open hole tensile tests on quasi-isotropic laminates , 2009 .

[2]  S. White,et al.  Stress analysis of fiber-reinforced composite materials , 1997 .

[3]  M. A. Gutiérrez.  Energy release control for numerical simulations of failure in quasi‐brittle solids , 2004 .

[4]  Pedro P. Camanho,et al.  A continuum damage model for composite laminates: Part I - Constitutive model , 2007 .

[5]  Daosheng Ling,et al.  An augmented finite element method for modeling arbitrary discontinuities in composite materials , 2009 .

[6]  Michael R Wisnom,et al.  A concise interface constitutive law for analysis of delamination and splitting in composite materials and its application to scaled notched tensile specimens , 2007 .

[7]  H. Schürmann,et al.  FAILURE ANALYSIS OF FRP LAMINATES BY MEANS OF PHYSICALLY BASED PHENOMENOLOGICAL MODELS , 1998 .

[8]  Cv Clemens Verhoosel,et al.  A dissipation‐based arc‐length method for robust simulation of brittle and ductile failure , 2009 .

[9]  Michael R Wisnom,et al.  Size effects in the testing of fibre-composite materials , 1999 .

[10]  Lorenzo Iannucci,et al.  Fracture toughness of the tensile and compressive fibre failure modes in laminated composites , 2006 .

[11]  L. J. Sluys,et al.  Mesh-independent modeling of both distributed and discrete matrix cracking in interaction with delamination in composites , 2010 .

[12]  F. Touchard,et al.  Comparative in-plane shear behaviour of long-carbon-fibre composites with thermoset or thermoplastic matrix , 1994 .

[13]  W. Paepegem,et al.  Modelling the nonlinear shear stress–strain response of glass fibre-reinforced composites. Part II: Model development and finite element simulations , 2006 .

[14]  D. Mollenhauer,et al.  Examination of ply cracking in composite laminates with open holes: A moiré interferometric and numerical study , 2006 .

[15]  Michael F. Ashby,et al.  Fatigue damage mechanics of composite materials. II: A damage growth model , 1992 .

[16]  P. Camanho,et al.  Numerical Simulation of Mixed-Mode Progressive Delamination in Composite Materials , 2003 .

[17]  Rhj Ron Peerlings,et al.  Gradient‐enhanced damage modelling of concrete fracture , 1998 .

[18]  Z. Bažant,et al.  Crack band theory for fracture of concrete , 1983 .

[19]  P. Camanho,et al.  A procedure for superposing linear cohesive laws to represent multiple damage mechanisms in the fracture of composites , 2009 .

[20]  Pedro P. Camanho,et al.  A damage model for the simulation of delamination in advanced composites under variable-mode loading , 2006 .

[21]  F. Chang,et al.  Modelling of splitting and delamination in notched cross-ply laminates , 2000 .

[22]  L. J. Sluys,et al.  A phantom node formulation with mixed mode cohesive law for splitting in laminates , 2009 .

[23]  Endel V. Iarve,et al.  Mesh independent modelling of cracks by using higher order shape functions , 2003 .

[24]  Ted Belytschko,et al.  A method for dynamic crack and shear band propagation with phantom nodes , 2006 .

[25]  Qingda Yang,et al.  Cohesive models for damage evolution in laminated composites , 2005 .

[26]  P. Hansbo,et al.  A finite element method for the simulation of strong and weak discontinuities in solid mechanics , 2004 .

[27]  L. Sluys,et al.  Continuum Models for the Analysis of Progressive Failure in Composite Laminates , 2009 .

[28]  Michael R Wisnom,et al.  An experimental investigation into the tensile strength scaling of notched composites , 2007 .

[29]  P. Steinmann,et al.  A finite element method for the computational modelling of cohesive cracks , 2005 .

[30]  T. Belytschko,et al.  Extended finite element method for cohesive crack growth , 2002 .

[31]  S. Turteltaub,et al.  Microcrack nucleation in thermal barrier coating systems , 2009 .

[32]  Pedro P. Camanho,et al.  Prediction of in situ strengths and matrix cracking in composites under transverse tension and in-plane shear , 2006 .

[33]  Stephen R. Hallett,et al.  Numerical Investigation of Progressive Damage and the Effect of Layup in Notched Tensile Tests , 2006 .

[34]  S. M. Spearing,et al.  Fatigue damage mechanics of composite materials. I: Experimental measurement of damage and post-fatigue properties , 1992 .

[35]  W. Paepegem,et al.  Modelling the nonlinear shear stress-strain response of glass fibre- reinforced composites. Part I: Experimental results , 2006 .