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Plane stress calculations with a two dimensional elastic--plastic computer program. [HGMP 3D]

M.L. Wilkins, +1 more
- Vol. 20
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TLDR
In this paper, a two-dimensional elastic-plastic computer program was adapted to calculate problems in plane stress as well as plane strain geometry, and a simulation of a tension test of a flat aluminum plate pulled to failure was calculated with the modified two dimensional program.
Abstract
In the study of ductile fracture it is useful to simulate fracture on the computer under plane stress conditions. In general, this is a three dimensional problem. Presented here is a method for adapting a two dimensional elastic-plastic computer program to calculate problems in plane stress as well as plane strain geometry. A simulation of a tension test of a flat aluminum plate pulled to failure is calculated with the modified two dimensional program. The results are compared with a fully three dimensional calculation. Finally a comparison is made with an experiment to demonstrate the effectiveness of the computational methods for studying fracture of work hardening materials.

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Development of a formalism of movable cellular automaton method for numerical modeling of fracture of heterogeneous elastic-plastic materials

TL;DR: In this paper, a general approach to realization of models of elasticity, plasticity and fracture of heterogeneous materials within the framework of particle-based numerical methods is proposed, which is based on building many-body forces of particle interaction, which provide response of particle ensemble correctly conforming to the response (including elastic-plastic behavior and fracture) of simulated solids.
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Approach to simulation of deformation and fracture of hierarchically organized heterogeneous media, including contrast media

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