Improving the robustness of the finite cell method for problems with large deformations

Wadhah Garhuom

doi:10.51202/9783186359186

Keywords

Search publication

Bibliographic data

Copyright year: 2024
ISBN-Print: 978-3-18-335918-9
ISBN-Online: 978-3-18-635918-6
Publisher: VDI Verlag, Düsseldorf
Series: Mechanik/Bruchmechanik
Volume: 359
Language: German
Pages: 152
Product type: Book Titles

Titelei/Inhaltsverzeichnis No access Pages I - VIII
1. Motivation No access
2. Aims and scope of this work No access
3. Outline of the thesis No access
1. 1. Motion and deformation gradient No access
  2. Strain measures No access
2. 1. Equilibrium No access
  2. Stress measures No access
3. 1. Linear elasticity No access
  2. Hyperelasticity No access
  3. Finite J2 elastoplasticity No access
4. Weak form of equilibrium No access
5. Weak form of equilibrium in the initial configuration No access
6. Weak form of equilibrium in the current configuration No access
7. 1. Linearization of the weak form in the initial configuration No access
  2. Linearization of the weak form in the current configuration No access
1. The weak forms in the extended domain No access
2. 1. Displacement field and mapping functions No access
  2. Discretization of the weak forms No access
  3. Boundary conditions No access
3. 1. Gaussian quadrature No access
  2. Adaptive Gaussian quadratures No access
1. Moment fitting No access
2. Adaptive moment fitting No access
3. Reduced adaptive moment fitting No access
4. Non-negative moment fitting No access
5. Non-negative least square solver No access
6. 1. Recovery of the Gauss-Legendre quadrature No access
  2. Cell cut by a sphere with radius r = 1.55 mm No access
  3. Cell cut by a sphere with radius r = 0.3 mm No access
7. Stabilization of the solution in the fictitious domain No access
8. 1. Plate with a cylindrical hole No access
  2. Single pore of a foam No access
9. 1. Plate with a cylindrical hole No access
  2. Single pore of a foam No access
1. Material stabilization (α-method) No access
2. 1. Excluding the rigid body modes from the stabilization No access
  2. Compute the rigid body modes analytically No access
3. 1. Plate with a circular inclusion No access
  2. Plate with a cylindrical hole No access
4. 1. Combining the eigenvalue stabilization with the α-method No access
  2. Single cube connector No access
  3. Complex cube connector No access
  4. Single pore of a foam No access
1. Kinematic relations No access
2. A procedure for performing the remeshing technique No access
3. Mesh generation and geometry description on any configuration state No access
4. 1. Ratio of Jacobians No access
  2. Orthogonality No access
  3. Aspect ratio No access
  4. Investigation of the remeshing criteria on a single element No access
5. 1. Radial basis function interpolation No access
  2. Inverse distance weighting interpolation No access
6. 1. Plate with a cylindrical hole No access
  2. Single cube connector No access
  3. Complex cube connector No access
  4. Foam No access
7. 1. Plate with a cylindrical hole No access
  2. Single cube connector No access
  3. Complex cube connector No access
  4. Single pore of a foam No access
Summary and outlook No access Pages 130 - 133
Publications resulting from this project No access Pages 134 - 134
Bibliography No access Pages 135 - 152