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Mixed finite elements in cloth simulation

  • This master thesis investigates the use and behaviour of a mixed finite element formulation for the simulation of garments. The garment is modelled as an isotropic shell and is related to its mid-surface by energetic degeneration. Based on this, an energy functional is constructed, which contains the deformation and the mid-surface vector as degree of freedom. It is then shown why this problem does not correspond to a saddle point problem, but to a non-convex energy minimization. The implementation of the energy minimization takes place with the ZIB-internal FE framework Kaskade7.4, whereby a geometric linear and different geometric non-linear problems are examined, whereby for a selected, non-linear example a comparison is made with an existing implementation on basis of Morley elements. The further evaluations include the analysis of the quantitative and qualitative results, the used solution method, the behaviour of the system energy as well as the used CPU time.

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Author:Phillip Semler
Document Type:Master's Thesis
Tag:cloth simulation; mixed finite elements; shell elements
Granting Institution:Beuth Hochschule für Technik Berlin
Advisor:Martin Weiser, Frank Haußer
Date of final exam:2020/01/28
Year of first publication:2020
Page Number:116
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