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Finite element procedure for plastic flow of orthotropic composites with Hoffman yield criterion. / Evgeny E Krasnovskiy

Swansea University Author: Evgeny E Krasnovskiy

Abstract

This thesis presents a finite element methodology for the numerical simulation for plastic flow of orthotropic composites governed by the Hoffman yield criterion. All numerical procedures were developed for plane strain and axisymmetric states with infinitesimal strains. Thermal effects were ignored...

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Published: 2004
Institution: Swansea University
Degree level: Master of Philosophy
Degree name: M.Phil
URI: https://cronfa.swan.ac.uk/Record/cronfa42290
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Abstract: This thesis presents a finite element methodology for the numerical simulation for plastic flow of orthotropic composites governed by the Hoffman yield criterion. All numerical procedures were developed for plane strain and axisymmetric states with infinitesimal strains. Thermal effects were ignored and the loading was assumed quasi-static. It was further assumed that no fracture or depbonding occurred. The hardening behaviour was isotropic. The strategy used for the numerical simulation was based on implicit displacement finite element procedures. An operator split methodology and fully implicit backward Euler elastic predictor / plastic corrector algorithm were used to find a stress state at the Gauss point. During the plastic corrector part the Newton- Raphson method was used. A line search algorithm based on dichotomy concept was developed to find an improved initial guess for the Newton-Raphson method in order to obtain a physically reasonable solution for materials with high degree of elastic anisotropy. The tangent modulus consistent to the state update algorithm was obtained to ensure a quadratic rate of convergence. Attention was focused on elastically anisotropic composites. The robustness and correctness of the proposed algorithms is illustrated by means of numerical examples and comparison with results obtained by other authors.
Keywords: Civil engineering.
College: Faculty of Science and Engineering

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