Cohesive laws X-FEM association for simulation of damage fracture transition and tensile shear switch in dynamic crack propagation

Abstract This paper is devoted to the formulation of transitions in fracture for quasi static and dynamic crack propagation. It is organized in three parts. The first one describes a general way to construct a cohesive law which is thermodynamically equivalent to a damaging bulk material. The second part is devoted to the proposition of a unique dynamic crack propagation law which discriminates between tensile and shear cracking in case of moderate plasticity at crack tip. The third part of the paper compares experiments with simulation in both cases.

[1]  Z. Bažant,et al.  Nonlocal damage theory , 1987 .

[2]  Umberto Perego,et al.  Fracture energy based bi-dissipative damage model for concrete , 2001 .

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

[4]  A. Combescure,et al.  A thermodynamic method for the construction of a cohesive law from a nonlocal damage model , 2009 .

[5]  M. Ortiz,et al.  FINITE-DEFORMATION IRREVERSIBLE COHESIVE ELEMENTS FOR THREE-DIMENSIONAL CRACK-PROPAGATION ANALYSIS , 1999 .

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

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

[8]  A. Combescure,et al.  A cohesive zone model which is energetically equivalent to a gradient-enhanced coupled damage-plasticity model , 2010 .

[9]  Francisco Armero,et al.  Numerical simulation of dynamic fracture using finite elements with embedded discontinuities , 2009 .

[10]  René de Borst,et al.  Gradient-dependent plasticity: formulation and algorithmic aspects , 1992 .

[11]  Nicolas Moës,et al.  Mass lumping strategies for X‐FEM explicit dynamics: Application to crack propagation , 2008 .

[12]  G. Rousselier,et al.  Ductile fracture models and their potential in local approach of fracture , 1987 .

[13]  Ted Belytschko,et al.  Mesh-free Galerkin simulations of dynamic shear band propagation and failure mode transition , 2002 .

[14]  Ares J. Rosakis,et al.  Dynamically propagating shear bands in impact-loaded prenotched plates—I. Experimental investigations of temperature signatures and propagation speed , 1996 .

[15]  Alain Combescure,et al.  Damage model with delay effect Analytical and numerical studies of the evolution of the characteristic damage length , 2003 .

[16]  Gilles Pijaudier-Cabot,et al.  From damage to fracture mechanics and conversely: A combined approach , 1996 .

[17]  Julien Réthoré,et al.  An energy‐conserving scheme for dynamic crack growth using the eXtended finite element method , 2005 .

[18]  A. Rosakis,et al.  Dynamically propagating shear bands in impact-loaded prenotched plates—II. Numerical simulations , 1996 .