FINITE ELEMENT METHODS FOR PLATE BENDING

dc.creatorKWON, YOUNG WUKen_US
dc.date.accessioned2007-05-09T19:39:17Zen_US
dc.date.available2007-05-09T19:39:17Zen_US
dc.date.issued1985en_US
dc.description.abstractThe plate bending problem is one of the most fundamental problems in structural analysis. Since analytical methods are limited to relatively simple geometries, boundary conditions and loadings, numerical methods have been applied to this problem. Among those methods the finite element method has attracted much attention because of its general application to complex problems. However, the difficulty in satisfying the slope compatibility condition in a usual displacement-based finite element method has been a barrier to a plate bending problem. In this research the new mixed finite element equation is formulated using the Galerkin method to overcome the difficulty mentioned above. Unknowns are moments and a lateral displacement. This eliminates the difficulty of slope compatibility. Moments are obtained accurately at nodal points. This formulation includes shear deformations for thick plate problems and is extended for anisotropic and layered composite materials. In addition, this study includes an elasto-plastic analysis of plate bending problems. The elasto-plastic formulation utilizes moment-based yield criterion and a nonlayered approach. An initial-stress type technique is developed for a nonlinear solution. A beam equation is degenerated from the plate equation and applied to elastic and elasto-plastic problems.en_US
dc.format.mimetypeapplication/pdfen_US
dc.identifier.callnoTHESIS M.E. 1985 KWONen_US
dc.identifier.citationKWON, YOUNG WUK. "FINITE ELEMENT METHODS FOR PLATE BENDING." (1985) Diss., Rice University. <a href="https://hdl.handle.net/1911/15919">https://hdl.handle.net/1911/15919</a>.en_US
dc.identifier.urihttps://hdl.handle.net/1911/15919en_US
dc.language.isoengen_US
dc.rightsCopyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.en_US
dc.subjectMechanical engineeringen_US
dc.titleFINITE ELEMENT METHODS FOR PLATE BENDINGen_US
dc.typeThesisen_US
dc.type.materialTexten_US
thesis.degree.departmentMechanical Engineeringen_US
thesis.degree.disciplineEngineeringen_US
thesis.degree.grantorRice Universityen_US
thesis.degree.levelDoctoralen_US
thesis.degree.nameDoctor of Philosophyen_US
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