Nonlinear heat transfer and thermo mechanical stress analysis using finite elements.

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dc.contributor.advisorMartin, JBen_ZA
dc.contributor.authorPennington, Derek Stevenen_ZA
dc.date.accessioned2014-09-22T07:54:41Z
dc.date.available2014-09-22T07:54:41Z
dc.date.issued1985en_ZA
dc.description.abstractThis thesis deals with the development, implementation and testing of numerical procedures for the heat transfer and thermo-mechanical analysis of sol id continua. Steady state conduction heat transfer is developed as a particular case of the general field equation. Internal heat generation and the boundary conditions of specified temperatures, flux, convection. and radiation are included. The stress - strain - temperature relationships for a corresponding body are not coupled to the heat transfer relationships for steady state conditions. The heat transfer problem is thus solved prior to, and independently of, the mechanical problem. The resulting temperature field is adopted for the solution of the thermal deformation problem. Finite element formulations using a common discretization are developed for these problems using Galerkin' s method. The formulations are implemented in an existing temperature independent nonlinear finite element stress analysis code. Four, eight and nine noded isoparametric continuum finite elements with the option of the plane stress, plane strain and axisymetric cases are utilized. Nonlinear heat transfer due to temperature dependent thermal conductivity and/or internal heat generation is solved using an iterative method based on the Newton-Raphson algorithm. Thermal deformations and stresses are determined by calculating equivalent nodal loads corresponding to the thermal strains which result from the temperature field. These are then applied to the mechanical model. The implementation is illustrated by three examples whose solutions compare favourably with analytical solutions taken from the literature.en_ZA
dc.identifier.apacitationPennington, D. S. (1985). <i>Nonlinear heat transfer and thermo mechanical stress analysis using finite elements</i>. (Thesis). University of Cape Town ,Faculty of Engineering & the Built Environment ,Department of Mechanical Engineering. Retrieved from http://hdl.handle.net/11427/7602en_ZA
dc.identifier.chicagocitationPennington, Derek Steven. <i>"Nonlinear heat transfer and thermo mechanical stress analysis using finite elements."</i> Thesis., University of Cape Town ,Faculty of Engineering & the Built Environment ,Department of Mechanical Engineering, 1985. http://hdl.handle.net/11427/7602en_ZA
dc.identifier.citationPennington, D. 1985. Nonlinear heat transfer and thermo mechanical stress analysis using finite elements. University of Cape Town.en_ZA
dc.identifier.ris TY - Thesis / Dissertation AU - Pennington, Derek Steven AB - This thesis deals with the development, implementation and testing of numerical procedures for the heat transfer and thermo-mechanical analysis of sol id continua. Steady state conduction heat transfer is developed as a particular case of the general field equation. Internal heat generation and the boundary conditions of specified temperatures, flux, convection. and radiation are included. The stress - strain - temperature relationships for a corresponding body are not coupled to the heat transfer relationships for steady state conditions. The heat transfer problem is thus solved prior to, and independently of, the mechanical problem. The resulting temperature field is adopted for the solution of the thermal deformation problem. Finite element formulations using a common discretization are developed for these problems using Galerkin' s method. The formulations are implemented in an existing temperature independent nonlinear finite element stress analysis code. Four, eight and nine noded isoparametric continuum finite elements with the option of the plane stress, plane strain and axisymetric cases are utilized. Nonlinear heat transfer due to temperature dependent thermal conductivity and/or internal heat generation is solved using an iterative method based on the Newton-Raphson algorithm. Thermal deformations and stresses are determined by calculating equivalent nodal loads corresponding to the thermal strains which result from the temperature field. These are then applied to the mechanical model. The implementation is illustrated by three examples whose solutions compare favourably with analytical solutions taken from the literature. DA - 1985 DB - OpenUCT DP - University of Cape Town LK - https://open.uct.ac.za PB - University of Cape Town PY - 1985 T1 - Nonlinear heat transfer and thermo mechanical stress analysis using finite elements TI - Nonlinear heat transfer and thermo mechanical stress analysis using finite elements UR - http://hdl.handle.net/11427/7602 ER - en_ZA
dc.identifier.urihttp://hdl.handle.net/11427/7602
dc.identifier.vancouvercitationPennington DS. Nonlinear heat transfer and thermo mechanical stress analysis using finite elements. [Thesis]. University of Cape Town ,Faculty of Engineering & the Built Environment ,Department of Mechanical Engineering, 1985 [cited yyyy month dd]. Available from: http://hdl.handle.net/11427/7602en_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.titleNonlinear heat transfer and thermo mechanical stress analysis using finite elements.en_ZA
dc.typeMaster Thesis
dc.type.qualificationlevelMasters
dc.type.qualificationnameMScen_ZA
uct.type.filetypeText
uct.type.filetypeImage
uct.type.publicationResearchen_ZA
uct.type.resourceThesisen_ZA
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