Groß, Michael: Higher-order accurate and energy-momentum consistent discretisation of dynamic finite deformation thermo-viscoelasticity. 2009
Inhalt
- Titelseite
- VORWORT
- ZUSAMMENFASSUNG
- ABSTRACT
- CONTENTS
- 1. INTRODUCTION
- 2. PROBLEM DEFINITION
- 2.1. Lagrangian description of continuum motions
- 2.2. Lagrangian description of the governing equations
- 2.3. Strong form of the initial boundary value problem
- 3. WEAK FORMULATION OF THE PROBLEM
- 4. FINITE ELEMENT APPROXIMATION
- 5. TIME APPROXIMATION OF THE CONSTITUTIVE FIELDS
- 6. REPRESENTATIVE NUMERICAL SIMULATIONS
- 6.1. Consistency of the inherently energy consistent method
- 6.2. Consistency of the exactly energy consistent method
- 6.3. Conservation laws and stability properties
- 6.4. Energy consistent incorporated Neumann boundaries
- 7. CONCLUSIONS
- 8. OUTLOOK
- A. DISCRETE WEAK INITIAL BOUNDARY VALUE PROBLEM
- B. LINEARISATION OF THE ALGEBRAIC EQUATIONS
- C. NEO-HOOKEAN MODEL FOR ISOTROPIC MATERIALS
- D. FREE ROTATING ELASTIC RING IN THE LINEAR THEORY
- REFERENCES