A finite strain theory of elastoplasticity and its application to wave propagation

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dc.contributor.advisorReddy, B Dayaen_ZA
dc.contributor.authorGültop, Tekinen_ZA
dc.date.accessioned2016-02-29T11:56:08Z
dc.date.available2016-02-29T11:56:08Z
dc.date.issued1993en_ZA
dc.descriptionBibliography: pages 154-164.en_ZA
dc.description.abstractA constitutive theory of finite strain plasticity is developed by using the methods of convex analysis. The theory abstracts and extends the classical assumptions of a convex region of admissible stresses, and the normality law. The overall effects of plastic behaviour are contained in the theory through the presence of one or more internal variables. The thermodynamic restrictions of the second law together with the use of results of convex analysis lead in a natural way to the evolution equation or flow law. Non-smooth yield surfaces are included in the theory; nevertheless, the form of this theory makes a study of propagation of singular surfaces awkward. With a view to carrying out such a study, an alternative means of treating non-smooth convex yield surfaces is developed. This alternative theory is essentially a synthesis of the theory of Sewell, and that presented earlier in the thesis. The theory of singular surfaces is reviewed in the context of finite strain elastoplasticity, and necessary conditions for the propagation of acceleration waves are derived. A comparison of elastic and plastic wave speeds is made, and inequalities similar to those of Mandel for the small-strain case are derived. The propagation conditions for principal waves in both longitudinal and transverse directions, and the corresponding wave speeds, are found and compared for solids obeying a neo-Hookean elastic law, and with either the von Mises or Tresca yield criteria.en_ZA
dc.identifier.apacitationGültop, T. (1993). <i>A finite strain theory of elastoplasticity and its application to wave propagation</i>. (Thesis). University of Cape Town ,Faculty of Engineering & the Built Environment ,Department of Civil Engineering. Retrieved from http://hdl.handle.net/11427/17310en_ZA
dc.identifier.chicagocitationGültop, Tekin. <i>"A finite strain theory of elastoplasticity and its application to wave propagation."</i> Thesis., University of Cape Town ,Faculty of Engineering & the Built Environment ,Department of Civil Engineering, 1993. http://hdl.handle.net/11427/17310en_ZA
dc.identifier.citationGültop, T. 1993. A finite strain theory of elastoplasticity and its application to wave propagation. University of Cape Town.en_ZA
dc.identifier.ris TY - Thesis / Dissertation AU - Gültop, Tekin AB - A constitutive theory of finite strain plasticity is developed by using the methods of convex analysis. The theory abstracts and extends the classical assumptions of a convex region of admissible stresses, and the normality law. The overall effects of plastic behaviour are contained in the theory through the presence of one or more internal variables. The thermodynamic restrictions of the second law together with the use of results of convex analysis lead in a natural way to the evolution equation or flow law. Non-smooth yield surfaces are included in the theory; nevertheless, the form of this theory makes a study of propagation of singular surfaces awkward. With a view to carrying out such a study, an alternative means of treating non-smooth convex yield surfaces is developed. This alternative theory is essentially a synthesis of the theory of Sewell, and that presented earlier in the thesis. The theory of singular surfaces is reviewed in the context of finite strain elastoplasticity, and necessary conditions for the propagation of acceleration waves are derived. A comparison of elastic and plastic wave speeds is made, and inequalities similar to those of Mandel for the small-strain case are derived. The propagation conditions for principal waves in both longitudinal and transverse directions, and the corresponding wave speeds, are found and compared for solids obeying a neo-Hookean elastic law, and with either the von Mises or Tresca yield criteria. DA - 1993 DB - OpenUCT DP - University of Cape Town LK - https://open.uct.ac.za PB - University of Cape Town PY - 1993 T1 - A finite strain theory of elastoplasticity and its application to wave propagation TI - A finite strain theory of elastoplasticity and its application to wave propagation UR - http://hdl.handle.net/11427/17310 ER - en_ZA
dc.identifier.urihttp://hdl.handle.net/11427/17310
dc.identifier.vancouvercitationGültop T. A finite strain theory of elastoplasticity and its application to wave propagation. [Thesis]. University of Cape Town ,Faculty of Engineering & the Built Environment ,Department of Civil Engineering, 1993 [cited yyyy month dd]. Available from: http://hdl.handle.net/11427/17310en_ZA
dc.language.isoengen_ZA
dc.publisher.departmentDepartment of Civil Engineeringen_ZA
dc.publisher.facultyFaculty of Engineering and the Built Environment
dc.publisher.institutionUniversity of Cape Town
dc.subject.otherCivil Engineeringen_ZA
dc.titleA finite strain theory of elastoplasticity and its application to wave propagationen_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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