A new finite element approach for modelling ductile damage void nucleation and growth—analysis of loading path effect on damage mechanisms

A two-dimensional finite element (FE) model is presented to model the nucleation and void growth stages in ductile damage phenomena on the microstructure scale. This model is based on a level-set (LS) method coupled with an advanced re-meshing strategy. Both nucleation modes (interface debonding and inclusion fracture) are modelled through the introduction of micro-voids according to stress-based criteria. The LS method and mesh adaptation are used to accommodate the topology modification of the microstructure and to model multiple void nucleation and growth for different loading paths. The enhanced FE model is adopted to analyse the key features of the damage mechanisms on the micro-scale. The effects of inclusion orientation and of a complex loading path on nucleation and void growth are addressed. Good agreement is found with available experimental and numerical data found in the literature. The results exhibit that the loading path is a key point in damage growth. The proposed FE framework is an efficient technique to study damage phenomena on both simple and realistic microstructures. In the future, such an approach can be used to calibrate macroscopic ductile damage models for a complex loading path.

[1]  David A. Surovik,et al.  On the path-dependence of the fracture locus in ductile materials - Analysis , 2012 .

[2]  F. Delannay,et al.  Micromechanics of room and high temperature fracture in 6xxx Al alloys , 2007 .

[3]  B. J. Lee,et al.  Stress concentration induced by an elastic spheroidal particle in a plastically deforming solid , 1999 .

[4]  Thierry Coupez,et al.  Adaptive mesh refinement and automatic remeshing in crystal plasticity finite element simulations , 2009 .

[5]  Thierry Coupez,et al.  Dynamic Parallel Adaption for Three Dimensional Unstructured Meshes: Application to Interface Tracking , 2008, IMR.

[6]  G. Guo,et al.  Determination of a tridimensional failure criterion at the fibre/matrix interface of an organic-matrix/discontinuous-reinforcement composite , 1996 .

[7]  E. Maire,et al.  Modelling the competition between interface debonding and particle fracture using a plastic strain dependent cohesive zone , 2010 .

[8]  Habib Mohamadian,et al.  Various shape memory effects of stimuli-responsive shape memory polymers , 2013 .

[9]  T. Belytschko,et al.  MODELING HOLES AND INCLUSIONS BY LEVEL SETS IN THE EXTENDED FINITE-ELEMENT METHOD , 2001 .

[10]  E. Maire,et al.  On the competition between particle fracture and particle decohesion in metal matrix composites , 2004 .

[11]  J. Sethian,et al.  Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations , 1988 .

[12]  Thierry Coupez,et al.  Parallel meshing and remeshing , 2000 .

[13]  Thierry Coupez,et al.  Finite element model of primary recrystallization in polycrystalline aggregates using a level set framework , 2009 .

[14]  George Deodatis,et al.  Uncertainty quantification in homogenization of heterogeneous microstructures modeled by XFEM , 2011 .

[15]  K. Tandon,et al.  Slip sources in the surface layers of polycrystalline Fe-3 pct Si in the early stages of deformation , 1975 .

[16]  Y. Bréchet,et al.  Ductile fracture initiated by interface nucleation in two-phase elastoplastic systems , 2013 .

[17]  Pierre-Olivier Bouchard,et al.  A level-set and anisotropic adaptive remeshing strategy for the modeling of void growth under large plastic strain , 2013 .

[18]  C. Zou,et al.  Temperature dependence of fracture behavior of in situ synthesized TiC/Ti-alloy matrix composite , 2011 .

[19]  F. M. Beremin.  Cavity formation from inclusions in ductile fracture of A508 steel , 1981 .

[20]  J. Leblond,et al.  Ductile Fracture by Void Growth to Coalescence , 2010 .

[21]  Raúl A. Feijóo,et al.  Adaptive finite element computational fluid dynamics using an anisotropic error estimator , 2000 .

[22]  A. Gurson.  Continuum Theory of Ductile Rupture by Void Nucleation and Growth: Part I—Yield Criteria and Flow Rules for Porous Ductile Media , 1977 .

[23]  Olivier Bouaziz,et al.  Characterization and modeling of void nucleation by interface decohesion in dual phase steels , 2010 .

[24]  S. Prabu,et al.  Failures analysis of particle reinforced metal matrix composites by microstructure based models , 2010 .

[25]  A. Needleman,et al.  Void nucleation by inclusion cracking , 2004 .

[26]  Pierre-Olivier Bouchard,et al.  On the influence of particle distribution and reverse loading on damage mechanisms of ductile steels , 2008 .

[27]  Jean-Loup Chenot,et al.  Numerical and experimental studies of the riveting process , 2011 .

[28]  Laurent Babout,et al.  Damage initiation in model metallic materials: X-ray tomography and modelling , 2004 .

[29]  Thierry Coupez,et al.  Level set framework for the numerical modelling of primary recrystallization in polycrystalline materials , 2008 .

[30]  W. Poole,et al.  Rearrangement of local stress and strain fields due to damage initiation in a model composite system , 2005 .

[31]  Rodrigue Desmorat,et al.  Fast estimation of localized plasticity and damage by energetic methods , 2002 .

[32]  G. Guo,et al.  Prediction of the anisotropic damaged behavior of composite materials: introduction of multilocal failure criteria in a micro-macro relationship , 1996 .

[33]  Grégory Legrain,et al.  An X‐FEM and level set computational approach for image‐based modelling: Application to homogenization , 2011 .

[34]  X. Feaugas,et al.  Effects of microstructural parameters and back stress on damage mechanisms in α/β titanium alloys , 1998 .

[35]  A. Needleman,et al.  Analysis of the cup-cone fracture in a round tensile bar , 1984 .

[36]  Pierre Montmitonnet,et al.  Identification methodology and comparison of phenomenological ductile damage models via hybrid numerical–experimental analysis of fracture experiments conducted on a zirconium alloy , 2013 .

[37]  Pierre-Olivier Bouchard,et al.  An anisotropic mesh adaptation strategy for damage and failure in ductile materials , 2012 .