A 3D transversally isotropic constitutive model for advanced composites implemented in a high performance computing code

Abstract A 3D constitutive damage model is proposed for predicting the progressive failure of laminated composite materials at mesoscopic length scale. The damage initiation and growth functions are based on the experimental phenomenology. The damage evolution laws are defined ensuring the energy regularization thanks to the crack band model. The crack closure effect under load reversal is also considered. The model is specifically formulated to be implemented in a high-performance computing platform, Alya, that enables the use of very fine meshes, ensuring an accurate prediction of the onset and propagation of damage. The reliability and the performance of the proposed formulation are examined simulating a cross-ply laminate and open hole tests under tensile loading.

[1]  C. A. Weeks,et al.  Modeling non-linear rate-dependent behavior in fiber-reinforced composites , 1998 .

[2]  E. V. González,et al.  Characterization of the translaminar fracture Cohesive Law , 2016 .

[3]  Albert Turon,et al.  Accurate simulation of delamination under mixed-mode loading using a cohesive model with a mode-dependent penalty stiffness , 2018 .

[4]  António R. Melro,et al.  Micromechanical analysis of polymer composites reinforced by unidirectional fibres: Part I – Constitutive modelling , 2013 .

[5]  J. Xavier,et al.  High strain rate characterisation of unidirectional carbon-epoxy IM7-8552 in transverse compression and in-plane shear using digital image correlation , 2010 .

[6]  Pedro P. Camanho,et al.  Micromechanical analysis of polymer composites reinforced by unidirectional fibres: Part II – Micromechanical analyses , 2013 .

[7]  A. M. Waas,et al.  FEM predictions of damage in continous fiber ceramic matrix composites under transverse tension using the crack band method , 2016 .

[8]  Sergio Oller,et al.  An anisotropic elastoplastic model based on an isotropic formulation , 1995 .

[9]  Tong Earn Tay,et al.  Numerical analysis of size effects on open-hole tensile composite laminates , 2013 .

[10]  Ever J. Barbero,et al.  A Constitutive Model for Elastic Damage in Fiber-Reinforced PMC Laminae , 2001 .

[11]  Nathan M. Newmark,et al.  A Method of Computation for Structural Dynamics , 1959 .

[12]  G. Houzeaux,et al.  Alya: Computational Solid Mechanics for Supercomputers , 2014, Archives of Computational Methods in Engineering.

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

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

[15]  E. V. González,et al.  A continuum constitutive model for the simulation of fabric-reinforced composites , 2014 .

[16]  Raimund Rolfes,et al.  Modeling the inelastic deformation and fracture of polymer composites – Part I: Plasticity model , 2013 .

[17]  Anthony M. Waas,et al.  Matrix crack interacting with a delamination in an impacted sandwich composite beam , 2016 .

[18]  Guillaume Houzeaux,et al.  Deflated preconditioned conjugate gradient solvers for the pressure‐Poisson equation: Extensions and improvements , 2011 .

[19]  Anthony M. Waas,et al.  Numerical implementation of a multiple-ISV thermodynamically-based work potential theory for modeling progressive damage and failure in fiber-reinforced laminates , 2013, International Journal of Fracture.

[20]  Brian Falzon,et al.  Design of composite stiffener run-outs for damage tolerance , 2011 .

[21]  Reza Vaziri,et al.  A physically based continuum damage mechanics model for thin laminated composite structures , 2003 .

[22]  L. J. Sluys,et al.  Computational modeling of complex failure mechanisms in laminates , 2012 .

[23]  P.P. Camanho,et al.  A Three-dimensional Damage Model for Transversely Isotropic Composite Laminates , 2008 .

[24]  Tomohiro Yokozeki,et al.  Simple constitutive model for nonlinear response of fiber-reinforced composites with loading-directional dependence , 2007 .

[25]  Pedro M. A. Areias,et al.  A consistent anisotropic damage model for laminated fiber-reinforced composites using the 3D-version of the Puck failure criterion , 2017 .

[26]  P. D. Soden,et al.  Biaxial test results for strength and deformation of a range of E-glass and carbon fibre reinforced composite laminates: failure exercise benchmark data , 2002 .

[27]  Pierre Ladevèze,et al.  Damage modelling of the elementary ply for laminated composites , 1992 .

[28]  Pedro P. Camanho,et al.  Matrix cracking and delamination in laminated composites. Part I: Ply constitutive law, first ply failure and onset of delamination , 2011 .

[29]  C. Sun,et al.  A Simple Flow Rule for Characterizing Nonlinear Behavior of Fiber Composites , 1989 .

[30]  E. V. González,et al.  Translaminar fracture toughness of interply hybrid laminates under tensile and compressive loads , 2017 .

[31]  Anthony M. Waas,et al.  Prediction of Compressive Failure in Laminated Composites at Room and Elevated Temperature , 2002 .

[32]  Raimund Rolfes,et al.  Modeling the inelastic deformation and fracture of polymer composites – Part II: Smeared crack model , 2013 .

[33]  Pedro P. Camanho,et al.  Micro-mechanical analysis of the in situ effect in polymer composite laminates , 2014 .

[34]  B. W. Rosen,et al.  Mechanics of composite strengthening. , 1965 .

[35]  P. Camanho,et al.  Three-dimensional failure criteria for fiber-reinforced laminates , 2013 .

[36]  J. Chaboche,et al.  Mechanics of Solid Materials , 1990 .

[37]  Pedro P. Camanho,et al.  Three-dimensional invariant-based failure criteria for fibre-reinforced composites , 2015 .

[38]  Ronald Krueger,et al.  Comparison of 2D finite element modeling assumptions with results from 3D analysis for composite skin-stiffener debonding , 2002 .

[39]  Lorenzo Iannucci,et al.  Physically-based failure models and criteria for laminated fibre-reinforced composites with emphasis on fibre kinking: Part I: Development , 2006 .

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

[41]  Antonio Blázquez,et al.  Application and finite element implementation of 7-parameter shell element for geometrically nonlinear analysis of layered CFRP composites , 2016 .

[42]  Guillaume Houzeaux,et al.  Parallel uniform mesh multiplication applied to a Navier–Stokes solver , 2013 .

[43]  Pedro P. Camanho,et al.  A continuum damage model for composite laminates: Part II – Computational implementation and validation , 2007 .

[44]  Anthony M. Waas,et al.  Progressive Damage and Failure Prediction of Open Hole Tension and Open Hole Compression Specimens , 2015 .

[45]  P. Camanho,et al.  A design methodology for mechanically fastened joints in laminated composite materials , 2006 .

[46]  P. Linde,et al.  A quick procedure to predict free-edge delamination in thin-ply laminates under tension , 2016 .

[47]  Jia-Lin Tsai,et al.  Constitutive model for high strain rate response of polymeric composites , 2002 .

[48]  Frans P. van der Meer,et al.  Micromechanical validation of a mesomodel for plasticity in composites , 2016 .

[49]  P. Camanho,et al.  Prediction of size effects in notched laminates using continuum damage mechanics , 2007 .

[50]  P. D. Soden,et al.  Lamina properties, lay-up configurations and loading conditions for a range of fibre-reinforced composite laminates , 1998 .

[51]  Mateo Valero,et al.  ALYA: MULTIPHYSICS ENGINEERING SIMULATION TOWARDS EXASCALE , 2014 .

[52]  Anthony M. Waas,et al.  Intra-inter Crack Band Model (I2CBM) for Progressive Damage and Failure Analysis of Joints , 2017 .

[53]  Wing Kam Liu,et al.  Nonlinear Finite Elements for Continua and Structures , 2000 .

[54]  Robert L. Taylor,et al.  A constitutive model for anisotropic damage in fiber-composites , 1995 .

[55]  Pierre Ladevèze,et al.  On the validation of a damage mesomodel for laminated composites by means of open-hole tensile tests on quasi-isotropic laminates , 2011 .

[56]  Guillaume Houzeaux,et al.  A massively parallel fractional step solver for incompressible flows , 2009, J. Comput. Phys..

[57]  Abdelkader Hachemi,et al.  Non-linear material modeling of fiber-reinforced polymers based on coupled viscoelasticity–viscoplasticity with anisotropic continuous damage mechanics , 2015 .

[58]  Alexander M. Puzrin,et al.  A thermomechanical framework for constitutive models for rate-independent dissipative materials , 2000 .

[59]  Norman Laws,et al.  Analysis of Progressive Matrix Cracking In Composite Laminates II. First Ply Failure , 1987 .