A finite element mesh optimization procedure using a thermal expansion analogy

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dc.contributor.authorNguyen, Vinh Dinhen
dc.contributor.departmentMechanical Engineeringen
dc.date.accessioned2020-12-14T16:35:01Zen
dc.date.available2020-12-14T16:35:01Zen
dc.date.issued1985en
dc.description.abstractFinite element optimum meshes are synthesized by the use of thermal expansion principles in conjunction with an analogous temperature field computed from the element strain energy contents. Elements having high strain energy contents are shrunk and those with low strain energy contents are expanded until all elements contain the same amount of strain energy. Deviatoric strain energy is also used in place of the strain energy as the objective function for the optimization method. Both objective functions yield significant improvements of the meshes after only a few iterations. In one test case, the errors in the maximum stresses are reduced by more than 1/3 after 1 iteration. In another test case, the error in the stress concentration factor is reduced by more than 3/4 after 7 iterations.en
dc.description.degreeM.S.en
dc.format.extentvii, 98 leavesen
dc.format.mimetypeapplication/pdfen
dc.identifier.urihttp://hdl.handle.net/10919/101248en
dc.language.isoenen
dc.publisherVirginia Polytechnic Institute and State Universityen
dc.relation.isformatofOCLC# 13098977en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.lccLD5655.V855 1985.N489en
dc.subject.lcshExpansion (Heat) -- Mathematical modelsen
dc.subject.lcshFinite element methoden
dc.subject.lcshNumerical grid generation (Numerical analysis)en
dc.titleA finite element mesh optimization procedure using a thermal expansion analogyen
dc.typeThesisen
dc.type.dcmitypeTexten
thesis.degree.disciplineMechanical Engineeringen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.levelmastersen
thesis.degree.nameM.S.en

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