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A solution approach to non-linear multi-field problems. / Tomaz Sustar

Swansea University Author: Tomaz Sustar

Abstract

In this work a solution approach for non-linear multi-filed problems is presented. The approach is based on co-operative usage of several advanced techniques inside a single environment instead of combining several different systems. The objective of this work is to demonstrate the applicability of...

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Published: 2002
Institution: Swansea University
Degree level: Doctoral
Degree name: Ph.D
URI: https://cronfa.swan.ac.uk/Record/cronfa42573
first_indexed 2018-08-02T18:55:02Z
last_indexed 2018-08-03T10:10:30Z
id cronfa42573
recordtype RisThesis
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spelling 2018-08-02T16:24:29.7121972 v2 42573 2018-08-02 A solution approach to non-linear multi-field problems. efd479c72cf73325a6f45df82785b176 NULL Tomaz Sustar Tomaz Sustar true true 2018-08-02 In this work a solution approach for non-linear multi-filed problems is presented. The approach is based on co-operative usage of several advanced techniques inside a single environment instead of combining several different systems. The objective of this work is to demonstrate the applicability of advanced computational techniques to complex numerical problems and to present advantages of a co-operative solution environment in the development of finite elements. The solution environment, implemented in Mathematica, consists of a symbolic code generator - AceGen, a package of prearranged modules for the automatic creation of the interfaces between the generated code and specific finite element environment - Computational Templates and a model finite element environment called Finite Element Driver. Within the scope of this work the ANSI C version of Finite Element Driver - CDriver was developed and used for numerical evaluation throughout the work. The CDriver is fully integrated with Mathematica and it provides high numerical efficiency to the environment. The solution approach is demonstrated on magneto-thermo-mechanical problem of inductive heat treatment. First the high abstract formulation level, which is required for efficient symbolic description, was introduced. Following the general formulation the models of individual magnetic, thermal and displacement fields were derived. After the individual fields model were verified the magneto-thermal and magneto- thermo-mechanical problems were formulated and derived. Both non-linear multi- filed models were verified using analytical solutions and numerical convergence tests. Different multi-filed solution strategies were applied to numerical examples and their performance issues were studied using the magneto-thermo-mechanical model. Finally the large scale numerical example of inductive heat treatment was solved. E-Thesis Computer engineering. 31 12 2002 2002-12-31 COLLEGE NANME Engineering COLLEGE CODE Swansea University Doctoral Ph.D 2018-08-02T16:24:29.7121972 2018-08-02T16:24:29.7121972 Faculty of Science and Engineering School of Engineering and Applied Sciences - Uncategorised Tomaz Sustar NULL 1 0042573-02082018162505.pdf 10805322.pdf 2018-08-02T16:25:05.1270000 Output 10254981 application/pdf E-Thesis true 2018-08-02T16:25:05.1270000 false
title A solution approach to non-linear multi-field problems.
spellingShingle A solution approach to non-linear multi-field problems.
Tomaz Sustar
title_short A solution approach to non-linear multi-field problems.
title_full A solution approach to non-linear multi-field problems.
title_fullStr A solution approach to non-linear multi-field problems.
title_full_unstemmed A solution approach to non-linear multi-field problems.
title_sort A solution approach to non-linear multi-field problems.
author_id_str_mv efd479c72cf73325a6f45df82785b176
author_id_fullname_str_mv efd479c72cf73325a6f45df82785b176_***_Tomaz Sustar
author Tomaz Sustar
author2 Tomaz Sustar
format E-Thesis
publishDate 2002
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 In this work a solution approach for non-linear multi-filed problems is presented. The approach is based on co-operative usage of several advanced techniques inside a single environment instead of combining several different systems. The objective of this work is to demonstrate the applicability of advanced computational techniques to complex numerical problems and to present advantages of a co-operative solution environment in the development of finite elements. The solution environment, implemented in Mathematica, consists of a symbolic code generator - AceGen, a package of prearranged modules for the automatic creation of the interfaces between the generated code and specific finite element environment - Computational Templates and a model finite element environment called Finite Element Driver. Within the scope of this work the ANSI C version of Finite Element Driver - CDriver was developed and used for numerical evaluation throughout the work. The CDriver is fully integrated with Mathematica and it provides high numerical efficiency to the environment. The solution approach is demonstrated on magneto-thermo-mechanical problem of inductive heat treatment. First the high abstract formulation level, which is required for efficient symbolic description, was introduced. Following the general formulation the models of individual magnetic, thermal and displacement fields were derived. After the individual fields model were verified the magneto-thermal and magneto- thermo-mechanical problems were formulated and derived. Both non-linear multi- filed models were verified using analytical solutions and numerical convergence tests. Different multi-filed solution strategies were applied to numerical examples and their performance issues were studied using the magneto-thermo-mechanical model. Finally the large scale numerical example of inductive heat treatment was solved.
published_date 2002-12-31T04:21:30Z
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score 11.090009

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