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

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dc.contributor.advisorMartin, JBen_ZA
dc.contributor.authorCarter, Peteren_ZA
dc.date.accessioned2015-02-11T14:16:38Z
dc.date.available2015-02-11T14:16:38Z
dc.date.issued1976en_ZA
dc.descriptionIncludes bibliographical references.en_ZA
dc.description.abstractThe 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.identifier.apacitationCarter, 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/11427/12455en_ZA
dc.identifier.chicagocitationCarter, 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/11427/12455en_ZA
dc.identifier.citationCarter, P. 1976. Some structural theorems for inelastic solids : an internal variable approach. University of Cape Town.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
dc.identifier.urihttp://hdl.handle.net/11427/12455
dc.identifier.vancouvercitationCarter 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/11427/12455en_ZA
dc.language.isoengen_ZA
dc.publisher.departmentDepartment of Mechanical Engineeringen_ZA
dc.publisher.facultyFaculty of Engineering and the Built Environment
dc.publisher.institutionUniversity of Cape Town
dc.subject.otherEngineeringen_ZA
dc.titleSome structural theorems for inelastic solids : an internal variable approach.en_ZA
dc.typeDoctoral Thesis
dc.type.qualificationlevelDoctoral
dc.type.qualificationnamePhDen_ZA
uct.type.filetypeText
uct.type.filetypeImage
uct.type.publicationResearchen_ZA
uct.type.resourceThesisen_ZA
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