Modelling of welding with various constitutive models for steel
Master Thesis
1994
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University of Cape Town
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Abstract
This dissertation is an attempt at the quality analysis of constitutive modelling of welding as a coupled thermo-mechanical or thermo-mechanical-metallurgical problem. Three types of inelastic theories of continua: unified viscoplasticity based on dislocation density theory, unified viscoplasticity based on potential theory, and transformation induced plasticity have been chosen for quantitative investigation. Material models proposed by Anand, Estrin and Mecking, Estrin, Robinson, and Leblond et.al. have been implemented into the finite element program ABAQUS. Specific subroutines have been written specifically for each constitutive equation. The material model implementation is based on the implicit solution of stress-strain relations and the derivation of associated constitutive tangent moduli necessary for the Nonlinear Finite Element solution procedures. Material model comparisons are based on numerical results obtained for the welding of thick plates; that is the bench mark problem considered in this thesis.
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Bibliography: pages 102-106.
Reference:
Oliver, G. 1994. Modelling of welding with various constitutive models for steel. University of Cape Town.