Some structural theorems for inelastic solids : an internal variable approach.

 

Show simple item record

dc.contributor.advisor Martin, JB en_ZA
dc.contributor.author Carter, Peter en_ZA
dc.date.accessioned 2015-02-11T14:16:38Z
dc.date.available 2015-02-11T14:16:38Z
dc.date.issued 1976 en_ZA
dc.identifier.citation Carter, P. 1976. Some structural theorems for inelastic solids : an internal variable approach. University of Cape Town. en_ZA
dc.identifier.uri http://hdl.handle.net/11427/12455
dc.description Includes bibliographical references. en_ZA
dc.description.abstract 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. en_ZA
dc.language.iso eng en_ZA
dc.subject.other Engineering en_ZA
dc.title Some structural theorems for inelastic solids : an internal variable approach. en_ZA
dc.type Doctoral Thesis
uct.type.publication Research en_ZA
uct.type.resource Thesis en_ZA
dc.publisher.institution University of Cape Town
dc.publisher.faculty Faculty of Engineering and the Built Environment
dc.publisher.department Department of Mechanical Engineering en_ZA
dc.type.qualificationlevel Doctoral
dc.type.qualificationname PhD en_ZA
uct.type.filetype Text
uct.type.filetype Image
dc.identifier.apacitation Carter, P. (1976). <i>Some structural theorems for inelastic solids : an internal variable approach</i>. (Thesis). University of Cape Town ,Faculty of Engineering & the Built Environment ,Department of Mechanical Engineering. Retrieved from http://hdl.handle.net/11427/12455 en_ZA
dc.identifier.chicagocitation Carter, Peter. <i>"Some structural theorems for inelastic solids : an internal variable approach."</i> Thesis., University of Cape Town ,Faculty of Engineering & the Built Environment ,Department of Mechanical Engineering, 1976. http://hdl.handle.net/11427/12455 en_ZA
dc.identifier.vancouvercitation Carter P. Some structural theorems for inelastic solids : an internal variable approach. [Thesis]. University of Cape Town ,Faculty of Engineering & the Built Environment ,Department of Mechanical Engineering, 1976 [cited yyyy month dd]. Available from: http://hdl.handle.net/11427/12455 en_ZA
dc.identifier.ris TY - Thesis / Dissertation AU - Carter, Peter AB - 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. DA - 1976 DB - OpenUCT DP - University of Cape Town LK - https://open.uct.ac.za PB - University of Cape Town PY - 1976 T1 - Some structural theorems for inelastic solids : an internal variable approach TI - Some structural theorems for inelastic solids : an internal variable approach UR - http://hdl.handle.net/11427/12455 ER - en_ZA


Files in this item

This item appears in the following Collection(s)

Show simple item record