A Numerical Method for Simulating the Microscopic Damage Evolution in Composites Under Uniaxial Transverse Tension

In this paper, a new numerical method that combines a surface-based cohesive model and extended finite element method (XFEM) without predefining the crack paths is presented to simulate the microscopic damage evolution in composites under uniaxial transverse tension. The proposed method is verified to accurately capture the crack kinking into the matrix after fiber/matrix debonding. A statistical representative volume element (SRVE) under periodic boundary conditions is used to approximate the microstructure of the composites. The interface parameters of the cohesive models are investigated, in which the initial interface stiffness has a great effect on the predictions of the fiber/matrix debonding. The detailed debonding states of SRVE with strong and weak interfaces are compared based on the surface-based and element-based cohesive models. The mechanism of damage in composites under transverse tension is described as the appearance of the interface cracks and their induced matrix micro-cracking, both of which coalesce into transversal macro-cracks. Good agreement is found between the predictions of the model and the in situ experimental observations, demonstrating the efficiency of the presented model for simulating the microscopic damage evolution in composites.

[1]  W. Brekelmans,et al.  Overall behaviour of heterogeneous elastoviscoplastic materials: effect of microstructural modelling , 2000 .

[2]  Federico París,et al.  Kinking of transversal interface cracks between fiber and matrix , 2007 .

[3]  L. Berglund,et al.  Transverse single-fibre test for interfacial debonding in composites: 2. Modelling , 1997 .

[4]  Carlos González,et al.  Failure locus of fiber-reinforced composites under transverse compression and out-of-plane shear , 2008 .

[5]  Vincent B. C. Tan,et al.  Recent efforts toward modeling interactions of matrix cracks and delaminations: an integrated XFEM-CE approach , 2014 .

[6]  Libin Zhao,et al.  Failure prediction of out-of-plane woven composite joints using cohesive element , 2013 .

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

[8]  C. Sun,et al.  Prediction of composite properties from a representative volume element , 1996 .

[9]  Masaki Hojo,et al.  Evaluation of interfacial strength in CF/epoxies using FEM and in-situ experiments , 2006 .

[10]  Wright-Patterson Afb,et al.  Simulation of Mode I Fracture at the Micro-Level in Polymer Matrix Composite Laminate Plies , 2012 .

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

[12]  Lei Yang,et al.  A new method for generating random fibre distributions for fibre reinforced composites , 2013 .

[13]  Noel P. O’Dowd,et al.  Numerical micromechanical investigation of interfacial strength parameters in a carbon fibre composite material , 2014 .

[14]  M. Romanowicz.  Effect of interfacial debonding on the failure behavior in a fiber-reinforced composite subjected to transverse tension , 2009 .

[15]  M. Romanowicz.  Determination of the first ply failure load for a cross ply laminate subjected to uniaxial tension through computational micromechanics , 2014 .

[16]  Carlos González,et al.  Mechanical behavior of unidirectional fiber-reinforced polymers under transverse compression: Microscopic mechanisms and modeling , 2007 .

[17]  Ying Yan,et al.  Microscopic failure mechanisms of fiber-reinforced polymer composites under transverse tension and compression , 2012 .

[18]  Leon Mishnaevsky,et al.  Micromechanical modeling of damage and fracture of unidirectional fiber reinforced composites: A review , 2009 .

[19]  Jorge E. Hurtado,et al.  Random models versus periodic models for fibre reinforced composites , 2006 .

[20]  M. Romanowicz.  Progressive failure analysis of unidirectional fiber-reinforced polymers with inhomogeneous interphase and randomly distributed fibers under transverse tensile loading , 2010 .

[21]  S. Nutt,et al.  Interfacial properties of polymer composites measured by push-out and fragmentation tests , 2001 .

[22]  R. De Borst,et al.  Transverse Failure Behavior of Fiber-epoxy Systems , 2010 .

[23]  Conor T. McCarthy,et al.  A micromechanical study on the effect of intra-ply properties on transverse shear fracture in fibre reinforced composites , 2011 .

[24]  Conor T. McCarthy,et al.  Micromechanical modelling of the transverse damage behaviour in fibre reinforced composites , 2011 .

[25]  Luis Pablo Canal Casado,et al.  Intraply fracture of fiber-reinforced composites: microscopic mechanisms and modeling , 2012 .

[26]  Salim Belouettar,et al.  Modelling of failure in long fibres reinforced composites by X-FEM and cohesive zone model , 2013 .

[27]  Zi-Xing Lu,et al.  An elastic–plastic cohesive zone model for metal–ceramic interfaces at finite deformations , 2013 .

[28]  Yuli Chen,et al.  Simulation of delamination growth in multidirectional laminates under mode I and mixed mode I/II loadings using cohesive elements , 2014 .

[29]  C. McCarthy,et al.  Micromechanical investigation of damage processes at composite-adhesive interfaces , 2013 .

[30]  L. Berglund,et al.  Prediction of matrix-initiated transverse failure in polymer composites , 1996 .

[31]  Carlos González,et al.  Prediction of the failure locus of C/PEEK composites under transverse compression and longitudinal shear through computational micromechanics , 2008 .

[32]  A. Needleman,et al.  The simulation of dynamic crack propagation using the cohesive segments method , 2008 .

[33]  Jarosław Bieniaś,et al.  Analysis of microstructure damage in carbon/epoxy composites using FEM , 2012 .

[34]  T. Belytschko,et al.  A review of extended/generalized finite element methods for material modeling , 2009 .

[35]  L. J. Sluys,et al.  A new method for modelling cohesive cracks using finite elements , 2001 .

[36]  Ted Belytschko,et al.  A finite element method for crack growth without remeshing , 1999 .

[37]  Mira Mitra,et al.  Modelling matrix damage and fibre-matrix interfacial decohesion in composite laminates via a multi-fibre multi-layer representative volume element (M2RVE) , 2014 .

[38]  X. J. Fang,et al.  An augmented cohesive zone element for arbitrary crack coalescence and bifurcation in heterogeneous materials , 2011 .

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

[40]  Jinyang Zheng,et al.  Recent developments on damage modeling and finite element analysis for composite laminates: A review , 2010 .

[41]  小山 毅,et al.  拡張有限要素法(XFEM)・一般化有限要素法(GFEM)を用いた材料モデリングのレビュー Ted Belytschko,Robert Gracie and Giulio Ventura:A Review of Extended/Generalized Finite Element Methods for Material Modeling [Modeling and Simulations in Materials Science and Engineering, Vol.17, 043001, June 2009](構造,文献抄録) , 2010 .

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