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dc.contributor.advisorRobbins, Donalden_US
dc.contributor.authorYue, Zhihuaen_US
dc.date.accessioned2006-02-04T07:26:06Z
dc.date.available2006-02-04T07:26:06Z
dc.date.issued2005-12-05en_US
dc.identifier.urihttp://hdl.handle.net/1903/3181
dc.description.abstractThe numerical analysis of transient phenomena in solids, for instance, wave propagation and structural dynamics, is a very important and active area of study in engineering. Despite the current evolutionary state of modern computer hardware, practical analysis of large scale, nonlinear transient problems requires the use of adaptive methods where computational resources are locally allocated according to the interpolation requirements of the solution form. Adaptive analysis of transient problems involves obtaining solutions at many different time steps, each of which requires a sequence of adaptive meshes. Therefore, the execution speed of the adaptive algorithm is of paramount importance. In addition, transient problems require that the solution must be passed from one adaptive mesh to the next adaptive mesh with a bare minimum of solution-transfer error since this form of error compromises the initial conditions used for the next time step. A new adaptive finite element procedure (s-adaptive) is developed in this study for modeling transient phenomena in both linear elastic solids and nonlinear elastic solids caused by progressive damage. The adaptive procedure automatically updates the time step size and the spatial mesh discretization in transient analysis, achieving the accuracy and the efficiency requirements simultaneously. The novel feature of the s-adaptive procedure is the original use of finite element mesh superposition to produce spatial refinement in transient problems. The use of mesh superposition enables the s-adaptive procedure to completely avoid the need for cumbersome multipoint constraint algorithms and mesh generators, which makes the s-adaptive procedure extremely fast. Moreover, the use of mesh superposition enables the s-adaptive procedure to minimize the solution-transfer error. In a series of different solid mechanics problem types including 2-D and 3-D linear elastic quasi-static problems, 2-D material nonlinear quasi-static problems, and 2-D transient problems for linear elastic and material nonlinear materials, the s-adaptive solution is compared to a solution obtained using a non-adaptive, uniform refined mesh. These comparisons clearly demonstrate that the s-adaptive method is capable of generating a solution with the same accuracy level as a non-adaptive, uniform refined mesh; however, the s-adaptive solution uses far fewer DOF and consequently executes much faster.en_US
dc.format.extent2156693 bytes
dc.format.mimetypeapplication/pdf
dc.language.isoen_US
dc.titleAdaptive Superposition of Finite Element Meshes in Linear and Nonlinear Dynamic Analysisen_US
dc.typeDissertationen_US
dc.contributor.publisherDigital Repository at the University of Marylanden_US
dc.contributor.publisherUniversity of Maryland (College Park, Md.)en_US
dc.contributor.departmentMechanical Engineeringen_US
dc.subject.pqcontrolledEngineering, Mechanicalen_US
dc.subject.pqcontrolledEngineering, Aerospaceen_US
dc.subject.pqcontrolledEngineering, Civilen_US
dc.subject.pquncontrolledMesh Superposition Techniqueen_US
dc.subject.pquncontrolledAdaptive Finite Element Methoden_US
dc.subject.pquncontrolledError Estimationsen_US
dc.subject.pquncontrolledNonlinear Dynamic Analysisen_US
dc.subject.pquncontrolledProgressive Damageen_US
dc.subject.pquncontrolledSuperconvergent Patch Recovery Techniqueen_US


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