Simulation of void growth and coalescence behavior with 3D crystal plasticity theory

The influence of crystallographic orientation on the void growth and coalescence in FCC single crystal is numerically simulated with the three dimensional crystal plasticity finite element method, which is implemented with the rate dependent crystal plasticity theory as user material subroutine. A 3D unit cell including one sphere void or two sphere voids is employed with three-dimensional 12 slip systems. The computed results of four single crystals with different crystallographic orientations are compared. The results of the simulations have shown that the crystallographic orientation has significant influences on the growth behavior of void, which includes the growth direction and shape of voids. Crystallographic orientation also plays a role in void coalescence, and the width of inter-void ligament is dependent on the position of voids and crystallographic orientation. If the link line of the centers of voids is parallel to the maximal void growth direction, crystal tends to show coalescence effect more easily.

[1]  R. Asaro,et al.  Geometrical effects in the inhomogeneous deformation of ductile single crystals , 1979 .

[2]  Thomas Pardoen,et al.  An extended model for void growth and coalescence - application to anisotropic ductile fracture , 2000 .

[3]  P. E. McHugh,et al.  Void growth simulations in single crystals , 1997 .

[4]  Mark F. Horstemeyer,et al.  Micromechanical finite element calculations of temperature and void configuration effects on void growth and coalescence , 2000 .

[5]  S. Nemat-Nasser,et al.  Dynamic void collapse in crystals: computational modelling and experiments , 1998 .

[6]  J. Rice,et al.  Constitutive analysis of elastic-plastic crystals at arbitrary strain , 1972 .

[7]  Mark F. Horstemeyer,et al.  Multiscale study of dynamic void collapse in single crystals , 2005 .

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

[9]  Mark F. Horstemeyer,et al.  Lattice orientation effects on void growth and coalescence in fcc single crystals , 2006 .

[10]  R. Hill.  Generalized constitutive relations for incremental deformation of metal crystals by multislip , 1966 .

[11]  Jean-Baptiste Leblond,et al.  Approximate models for ductile metals containing non-spherical voids—Case of axisymmetric prolate ellipsoidal cavities , 1993 .

[12]  John Y. Shu,et al.  Scale-dependent deformation of porous single crystals , 1998 .

[13]  R. Asaro,et al.  Micromechanics of Crystals and Polycrystals , 1983 .

[14]  L. Anand,et al.  A computational procedure for rate-independent crystal plasticity , 1996 .

[15]  J. Kysar,et al.  Cylindrical void in a rigid-ideally plastic single crystal. Part I: Anisotropic slip line theory solution for face-centered cubic crystals , 2005 .

[16]  Jianguo Tang,et al.  Finite element simulation of influences of grain interaction on rolling textures of fcc metals , 2006 .

[17]  Mohammed A. Zikry,et al.  Void growth and interaction in crystalline materials , 2001 .

[18]  Mark F. Horstemeyer,et al.  A large deformation atomistic study examining crystal orientation effects on the stress–strain relationship , 2002 .

[19]  Mark F. Horstemeyer,et al.  On Factors Affecting Localization and Void Growth in Ductile Metals: A Parametric Study , 2000 .

[20]  A. Deschamps,et al.  Grain boundary versus transgranular ductile failure , 2003 .

[21]  Jean-Baptiste Leblond,et al.  Approximate Models for Ductile Metals Containing Nonspherical Voids—Case of Axisymmetric Oblate Ellipsoidal Cavities , 1994 .

[22]  Weidong Qi,et al.  Anisotropic continuum damage modeling for single crystals at high temperatures , 1999 .

[23]  Jinyuan Tang,et al.  Simulation of rolling deformation texture of fcc metals with crystal plasticity finite element model , 2006 .