Numerical simulation of 3D ductile cracks formation using recent improved Lode-dependent plasticity and damage models combined with remeshing

Damage to fracture transition has become a popular topic in the ductile fracture scientific community. Indeed, the transition from a damage continuous approach to a discontinuous fracture is not straightforward both from mechanical and numerical points of view. In the present study, a new improved Lode dependent phenomenological coupled damage model is used to investigate the ductile fracture in different mechanical tests. The remeshing and elements erosion techniques are employed to propagate the ductile cracks in 3D models using Forge finite element code. This code is based on a mixed velocity– pressure formulation using the MINI element P1 þ =P1. In addition, the plasticity behavior is modeled by a Lode-dependent plasticity criterion. Applications to different mechanical tests at different loading configurations, using identified damage model parameters, show good agreement in terms of fracture prediction between experimental and numerical results.

[1]  Yuanli Bai,et al.  Application of extended Mohr–Coulomb criterion to ductile fracture , 2009 .

[2]  Pierre Villon,et al.  Diffuse approximation for field transfer in non linear mechanics , 2006 .

[3]  P. Bouchard,et al.  A detailed description of the Gurson–Tvergaard–Needleman model within a mixed velocity–pressure finite element formulation , 2013 .

[4]  Liang Xue,et al.  Ductile fracture modeling : theory, experimental investigation and numerical verification , 2007 .

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

[6]  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 .

[7]  Pierre Montmitonnet,et al.  On the Development and Identification of Phenomenological Damage Models - Application to Industrial Wire Drawing and Rolling Processes , 2013 .

[8]  Tomasz Wierzbicki,et al.  A Comparative Study on Various Ductile Crack Formation Criteria , 2004 .

[9]  L. Xue Damage accumulation and fracture initiation in uncracked ductile solids subject to triaxial loading , 2007 .

[10]  L. Xue,et al.  Constitutive modeling of void shearing effect in ductile fracture of porous materials , 2008 .

[11]  Dirk Mohr,et al.  Hybrid experimental–numerical analysis of basic ductile fracture experiments for sheet metals , 2010 .

[12]  Marc G. D. Geers,et al.  A robust and consistent remeshing-transfer operator for ductile fracture simulations , 2006 .

[13]  Nicholas Zabaras,et al.  Shape optimization and preform design in metal forming processes , 2000 .

[14]  W. Brocks,et al.  Modeling of plane strain ductile rupture , 2003 .

[15]  Jacques Besson,et al.  Modeling of crack growth in round bars and plane strain specimens , 2001 .

[16]  Pierre-Olivier Bouchard,et al.  An enhanced Lemaitre model formulation for materials processing damage computation , 2011 .

[17]  V. Tvergaard On localization in ductile materials containing spherical voids , 1982, International Journal of Fracture.

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

[19]  Imad Barsoum,et al.  Rupture mechanisms in combined tension and shear : Experiments , 2007 .

[20]  Trong-Son Cao Modeling ductile damage for complex loading paths , 2013 .

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

[22]  Pierre Montmitonnet,et al.  A Lode-dependent enhanced Lemaitre model for ductile fracture prediction at low stress triaxiality , 2014 .

[23]  Jean Lemaitre,et al.  Local approach of fracture , 1986 .

[24]  Chen Zhu,et al.  Formation of shear bands in plane sheet , 1995 .

[25]  Tomasz Wierzbicki,et al.  Numerical simulation of fracture mode transition in ductile plates , 2008 .

[26]  Pierre Montmitonnet,et al.  Characterization of ductile damage for a high carbon steel using 3D X-ray micro-tomography and mechanical tests - Application to the identification of a shear modified GTN model , 2014 .

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

[28]  R. Peerlings,et al.  Discrete crack modelling of ductile fracture driven by non‐local softening plasticity , 2006 .

[29]  V. Tvergaard Material Failure by Void Growth to Coalescence , 1989 .

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

[31]  Thomas Massé,et al.  Study and optimization of high carbon steel flat wires , 2010 .

[32]  J. C. D. César de Sá,et al.  Damage driven crack initiation and propagation in ductile metals using XFEM , 2013 .

[33]  X. Teng,et al.  Numerical prediction of slant fracture with continuum damage mechanics , 2008 .

[34]  J. Hutchinson,et al.  Modification of the Gurson Model for shear failure , 2008 .

[35]  T. Wierzbicki,et al.  A new model of metal plasticity and fracture with pressure and Lode dependence , 2008 .