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Formulations for incremental elastic-plastic analysis and the consolidation of porous media

Includes bibliographical references.

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Bibliographic Details
Main Author: Bird, Wyndham Wadham
Other Authors: Martin, JB
Format: Thesis
Language:English
Published: Department of Civil Engineering 2014
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access_status_str Open Access
author Bird, Wyndham Wadham
author2 Martin, JB
author_browse Bird, Wyndham Wadham
Martin, JB
author_facet Martin, JB
Bird, Wyndham Wadham
author_sort Bird, Wyndham Wadham
collection Thesis
description Includes bibliographical references.
format Thesis
id oai:open.uct.ac.za:11427/7583
institution University of Cape Town (South Africa)
language eng
last_indexed 2026-06-10T12:31:30.019Z
license_str Not specified — see source repository
provenance_str_mv Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository
publishDate 2014
publishDateRange 2014
publishDateSort 2014
publisher Department of Civil Engineering
publisherStr Department of Civil Engineering
record_format dspace
source_str UCTD — University of Cape Town Open Access Repository
spelling oai:open.uct.ac.za:11427/7583 Formulations for incremental elastic-plastic analysis and the consolidation of porous media Bird, Wyndham Wadham Martin, JB Civil Engineering Includes bibliographical references. The formulation and solution of the problem of an elastic-plastic body subject to successive increments of loading is a fundamental problem in plasticity. A variety of powerful iterative techniques are available for the solution of the problem, mostly based on Newton-Raphson methods using an explicit scheme for the integration of the constitutive relations. The procedures in current use can be criticised in that they are essentially heuristic, and they are not fully linked to the governing mechanical principles of the incremental plasticity problem. Recent work aimed at the improvement of the accuracy and stability of the numerical algorithms in plasticity explores the fundamental relationship between the nature of the forward integration algorithm and the mechanical principles of the problem. In this thesis we attempt to advance this understanding. Through the use of an internal variable formulation of the problem, we are able to explore links between a consistent mathematical programming formulation of the incremental problem in plasticity and the conventional Newton-Raphson iterative solution procedures. 2014-09-22T07:49:40Z 2014-09-22T07:49:40Z 1987 Doctoral Thesis Doctoral PhD http://hdl.handle.net/11427/7583 eng application/pdf Department of Civil Engineering Faculty of Engineering and the Built Environment University of Cape Town
spellingShingle Civil Engineering
Bird, Wyndham Wadham
Formulations for incremental elastic-plastic analysis and the consolidation of porous media
thesis_degree_str Doctoral
title Formulations for incremental elastic-plastic analysis and the consolidation of porous media
title_full Formulations for incremental elastic-plastic analysis and the consolidation of porous media
title_fullStr Formulations for incremental elastic-plastic analysis and the consolidation of porous media
title_full_unstemmed Formulations for incremental elastic-plastic analysis and the consolidation of porous media
title_short Formulations for incremental elastic-plastic analysis and the consolidation of porous media
title_sort formulations for incremental elastic plastic analysis and the consolidation of porous media
topic Civil Engineering
url http://hdl.handle.net/11427/7583
work_keys_str_mv AT birdwyndhamwadham formulationsforincrementalelasticplasticanalysisandtheconsolidationofporousmedia