On the Extended Finite Element Method for the Elasto-Plastic Deformation of Heterogeneous Materials

  • This thesis is concerned with the extended finite element method (XFEM) for deformation analysis of three-dimensional heterogeneous materials. Using the "enhanced abs enrichment" the XFEM is able to reproduce kinks in the displacements and therewith jumps in the strains within elements of the underlying tetrahedral finite element mesh. A complex model for the micro structure reconstruction of aluminum matrix composite AMC225xe and the modeling of its macroscopic thermo-mechanical plastic deformation behavior is presented, using the XFEM. Additionally, a novel stabilization algorithm is introduced for the XFEM. This algorithm requires preprocessing only.
Author:Tobias Zangmeister
Serie (Series number):Forschungsbericht / Technische Universität Kaiserslautern, Lehrstuhl für Technische Mechanik (8)
Publisher:Technische Universität Kaiserslautern
Place of publication:Kaiserslautern
Advisor:Ralf Müller
Document Type:Doctoral Thesis
Language of publication:English
Publication Date:2015/06/01
Date of Publication:2015/06/01
Publishing Institute:Technische Universität Kaiserslautern
Granting Institute:Technische Universität Kaiserslautern
Acceptance Date of the Thesis:2014/01/12
Date of the Publication (Server):2015/01/07
Tag:AMC225xe; FEM; XFEM; adhesive joints in concrete; condition number; numerics; stabilization
GND-Keyword:XFEM; Finite-Elemente-Methode
Number of page:XII, 133
Faculties / Organisational entities:Kaiserslautern - Fachbereich Maschinenbau und Verfahrenstechnik
CCS-Classification (computer science):A. General Literature / A.m MISCELLANEOUS
DDC-Cassification:6 Technik, Medizin, angewandte Wissenschaften / 620 Ingenieurwissenschaften und Maschinenbau
MSC-Classification (mathematics):65-XX NUMERICAL ANALYSIS / 65Mxx Partial differential equations, initial value and time-dependent initial- boundary value problems / 65M60 Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods
74-XX MECHANICS OF DEFORMABLE SOLIDS / 74Cxx Plastic materials, materials of stress-rate and internal-variable type / 74C05 Small-strain, rate-independent theories (including rigid-plastic and elasto-plastic materials)
Licence (German):Standard gemäß KLUEDO-Leitlinien vom 28.10.2014