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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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spelling 2018-08-16T14:39:02.9105634 v2 42290 2018-08-02 Finite element procedure for plastic flow of orthotropic composites with Hoffman yield criterion. 11c15c4795e5cf4e0ede25140f039a7c NULL Evgeny E Krasnovskiy Evgeny E Krasnovskiy true true 2018-08-02 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. E-Thesis Civil engineering. 31 12 2004 2004-12-31 COLLEGE NANME Engineering COLLEGE CODE Swansea University Master of Philosophy M.Phil 2018-08-16T14:39:02.9105634 2018-08-02T16:24:28.7137853 Faculty of Science and Engineering School of Engineering and Applied Sciences - Uncategorised Evgeny E Krasnovskiy NULL 1 0042290-02082018162442.pdf 10797998.pdf 2018-08-02T16:24:42.8170000 Output 5974320 application/pdf E-Thesis true 2018-08-02T16:24:42.8170000 false
title Finite element procedure for plastic flow of orthotropic composites with Hoffman yield criterion.
spellingShingle Finite element procedure for plastic flow of orthotropic composites with Hoffman yield criterion.
Evgeny E Krasnovskiy
title_short Finite element procedure for plastic flow of orthotropic composites with Hoffman yield criterion.
title_full Finite element procedure for plastic flow of orthotropic composites with Hoffman yield criterion.
title_fullStr Finite element procedure for plastic flow of orthotropic composites with Hoffman yield criterion.
title_full_unstemmed Finite element procedure for plastic flow of orthotropic composites with Hoffman yield criterion.
title_sort Finite element procedure for plastic flow of orthotropic composites with Hoffman yield criterion.
author_id_str_mv 11c15c4795e5cf4e0ede25140f039a7c
author_id_fullname_str_mv 11c15c4795e5cf4e0ede25140f039a7c_***_Evgeny E Krasnovskiy
author Evgeny E Krasnovskiy
author2 Evgeny E Krasnovskiy
format E-Thesis
publishDate 2004
institution Swansea University
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Engineering and Applied Sciences - Uncategorised{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Engineering and Applied Sciences - Uncategorised
document_store_str 1
active_str 0
description 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.
published_date 2004-12-31T03:52:40Z
_version_ 1763752606102978560
score 11.014537

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