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dc.contributor.advisorKlaus-Jürgen Bathe.en_US
dc.contributor.authorPayen, Daniel Joseen_US
dc.contributor.otherMassachusetts Institute of Technology. Dept. of Mechanical Engineering.en_US
dc.date.accessioned2012-11-19T19:32:18Z
dc.date.available2012-11-19T19:32:18Z
dc.date.copyright2012en_US
dc.date.issued2012en_US
dc.identifier.urihttp://hdl.handle.net/1721.1/74984
dc.descriptionThesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mechanical Engineering, 2012.en_US
dc.descriptionCataloged from PDF version of thesis.en_US
dc.descriptionIncludes bibliographical references (p. 123-129).en_US
dc.description.abstractIn this thesis, we present a novel method to improve the finite element stress predictions in static, dynamic and nonlinear analyses of solids. We focus on the use of low-order displacement-based finite elements, 3-node and 4-node elements in two-dimensional (2D) solutions, and 4-node and 8-node elements in 3D solutions -- because these elements can be computationally efficient, provided good stress predictions are obtained. We give a variational basis of the new method and compare the procedure, and its performance, with other effective previously proposed stress improvement techniques. We observe that the stresses of the new method converge quadratically in ID and 2D solutions, i.e. with the same order as the displacements, and conclude that the new stress improvement method shows much promise for the analysis of solids, structures and multiphysics problems, to calculate improved stress predictions and to establish error measures. Highlights: --Novel stress improvement method is given for static, dynamic and nonlinear analysis of solids. --Focus is on the use of low-order elements. --Quadratic convergence is observed for the improved stresses. --Method is compared with existing techniques.en_US
dc.description.statementofresponsibilityby Daniel Jose Payen.en_US
dc.format.extent129 p.en_US
dc.language.isoengen_US
dc.publisherMassachusetts Institute of Technologyen_US
dc.rightsM.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission.en_US
dc.rights.urihttp://dspace.mit.edu/handle/1721.1/7582en_US
dc.subjectMechanical Engineering.en_US
dc.titleA method to significantly improve finite element stress predictionsen_US
dc.typeThesisen_US
dc.description.degreePh.D.en_US
dc.contributor.departmentMassachusetts Institute of Technology. Department of Mechanical Engineering
dc.identifier.oclc815449135en_US


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