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Computer implementation of damage models by finite element and meshfree methods. (English) Zbl 0980.74063
From the summary: We propose a computational methodology of a micromechanic cell model to establish the constitutive law during material fracture. As an application, we investigate the ductile fracture process and obtain a new model parameter function for damage based on a computational cell modeling technique. Aspects of computer implementation for finite element and meshfree methods are described. The technique is applied to numerical examples including necking behavior of a tensile bar, a cracked panel under tension, an edge notched panel under pure bending a plane strain plate under compression, and the ductile tearing with large deformation of a notch-bend specimen. We also study applications of reproducing kernel particle method to the ductile fracture process involving damage evolution, and perform a multiresolution analysis on shear bands. The analytical and numerical results confirm the efficiency of proposed methodology.

74S05 Finite element methods applied to problems in solid mechanics
74S30 Other numerical methods in solid mechanics (MSC2010)
74R20 Anelastic fracture and damage
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