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Thesis - Campus Access Only
Master of Science (MS)
finite element analysis, finite element method, mapped meshes, p-method, p-version, single-pass adapative
Previous work by others has shown that, in certain cases, uniformly mapped meshes on non-linear p-version finite elements models cannot accurately capture the numerical values and solution characteristics, but this thesis shows that these findings may be due to the theory of plasticity used in the finite element code and not the mapped mesh. Reproduction of previous work in Creo Simulate for this thesis found that a uniformly mapped mesh does not result in the poor solution characteristics shown by others. New research on non-linear p-version finite element models that use the Single-Pass Adaptive convergence method has been carried out to gain a more complete understanding of the effects of mapped meshes and to develop an a priori meshing strategy that can be applied to a model to obtain an initial solution with a reasonable level of accuracy. To this end, a 2D plane strain rigid punch with linear hardening and a 3D tensile test specimen with elastoplastic and hyperelastic material models were investigated to determine the effects of element types and mesh design on models that use the Single-Pass Adaptive convergence method. The a priori meshing strategy was then successfully applied to a proof of concept problem with a numerical agree of less than 2% on displacements and less than 15% on the normal stresses.
Densberger, Shaun, "The Effects of Mapped Meshes on Non-Linear p-Version Finite Element Models using the Single-Pass Adaptive Convergence Method" (2014). Master's Theses. 4493.