Computer implementation of damage models by finite element and meshfree methods

A computational methodology of a micromechanics cell model is proposed to e stablish the constitutive law during material fracture. As an application e xample, the ductile fracture process has been investigated and a new model parameter function for damage is obtained based on a computational cell mod eling technique. Aspects of computer implementation for finite element and meshfree methods are described. The technique is applied to numerical examp les including necking behavior of a tensile bar, a cracked panel under tens ion, an edge notched panel under pure bending, a plane strain plate under c ompression, and the ductile tearing with large deformation of a notch-bend specimen. The applications of Reproducing Kernel Particle Method (RKPM) for the ductile fracture process involving damage evolution is studied and mul tiresolution analysis has also been performed on shear bands. The analytica l and numerical results confirm that the proposed computational methodology provides an effective way to establish the relationship between macroscale and microscale mechanical behaviors, in conjunction with considering mater ial heterogeneities such as damage at various scales. The numerical results also show that the multiple scale RKPM possesses a strong ability to captu re the physical phenomena such as shear band, large deformation, and the ma terial instability during damage evolution. (C) 2000 Elsevier Science S.A. All rights reserved.