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Numerical solution of nonlinear finite element problems in elasticity
Citation Link: https://doi.org/10.15480/882.16878
Publikationstyp
Doctoral Thesis
Date Issued
2026
Sprache
English
Author(s)
Advisor
Referee
Title Granting Institution
Technische Universität Hamburg
Place of Title Granting Institution
Hamburg
Examination Date
2026-02-16
Institute
TORE-DOI
Citation
Technische Universität Hamburg (2026)
We consider high-order finite element discretizations of displacement problems on elastic bodies under external loading. In general, the deformation of an elastic body is nonlinear with respect to the applied load. Divergence of the nonlinear solver is prevented by applying the loads in increments. We study a modification of the traditional incremental load step method that exploits the hierarchical finite element discretization. We test the new approach on a benchmark problem in computational mechanics and on a displacement-driven foam pore problem.
Subjects
nonlinear finite element methods
p-FEM
hyperelasticity
reduced-order methods
Newton's method
DDC Class
518: Numerical Analysis
539.3: Elasticity; Torsion
530.41: Mechanics of Solids
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Fesefeldt_Eva_Lina_Numerical-Solution-of-Nonlinear-Finite-Element-Problems-in-Elasticity.pdf
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17.85 MB
Format
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