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Some structural theorems for inelastic solids : an internal variable approach.
Includes bibliographical references.
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| Main Author: | |
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| Other Authors: | |
| Format: | Thesis |
| Language: | English |
| Published: |
Department of Mechanical Engineering
2015
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| _version_ | 1867613178121158656 |
|---|---|
| access_status_str | Open Access |
| author | Carter, Peter |
| author2 | Martin, JB |
| author_browse | Carter, Peter Martin, JB |
| author_facet | Martin, JB Carter, Peter |
| author_sort | Carter, Peter |
| collection | Thesis |
| description | Includes bibliographical references. |
| format | Thesis |
| id | oai:open.uct.ac.za:11427/12455 |
| institution | University of Cape Town (South Africa) |
| language | eng |
| last_indexed | 2026-06-10T12:32:00.945Z |
| license_str | Not specified — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository |
| publishDate | 2015 |
| publishDateRange | 2015 |
| publishDateSort | 2015 |
| publisher | Department of Mechanical Engineering |
| publisherStr | Department of Mechanical Engineering |
| record_format | dspace |
| source_str | UCTD — University of Cape Town Open Access Repository |
| spelling | oai:open.uct.ac.za:11427/12455 Some structural theorems for inelastic solids : an internal variable approach. Carter, Peter Martin, JB Engineering Includes bibliographical references. The theory of inelastic solids involving thermodynamic potential functions with internal variables is reviewed. Use is made of the condition for stable thermodynamic equilibrium in order to obtain dual minimum principles for the equilibrium state of a solid inelastic body. This leads to dual forms of the incremental (or rate) theorems and their respective extended forms. The extended static incremental theorem is applied to a pin-jointed truss and an algorithm suggested for solution of the ensuing programming problem. Numerical examples are given. A class of bounding theorems is also studied from the point of view of the potential functions. Bounds on the work and complementary work are obtained and properties of the bounding functions examined. Finally, the bound on a functional, which has been used to obtain general work and displacement bounds for dynamically loaded structures, is discussed. 2015-02-11T14:16:38Z 2015-02-11T14:16:38Z 1976 Doctoral Thesis Doctoral PhD http://hdl.handle.net/11427/12455 eng application/pdf Department of Mechanical Engineering Faculty of Engineering and the Built Environment University of Cape Town |
| spellingShingle | Engineering Carter, Peter Some structural theorems for inelastic solids : an internal variable approach. |
| thesis_degree_str | Doctoral |
| title | Some structural theorems for inelastic solids : an internal variable approach. |
| title_full | Some structural theorems for inelastic solids : an internal variable approach. |
| title_fullStr | Some structural theorems for inelastic solids : an internal variable approach. |
| title_full_unstemmed | Some structural theorems for inelastic solids : an internal variable approach. |
| title_short | Some structural theorems for inelastic solids : an internal variable approach. |
| title_sort | some structural theorems for inelastic solids an internal variable approach |
| topic | Engineering |
| url | http://hdl.handle.net/11427/12455 |
| work_keys_str_mv | AT carterpeter somestructuraltheoremsforinelasticsolidsaninternalvariableapproach |