IUTAM Symposium on Variational Concepts with Applications to the Mechanics of Materials

1. Front Matter

   Pages i-xvii

   PDF

2. Stability of Quasi-Static Crack Evolution through Dimensional Reduction

   • Jean-François Babadjian

   Pages 1-13

3. FE2-Simulation of Microheterogeneous Steels Based on Statistically Similar RVEs

   • D. Balzani, J. Schröder, D. Brands

   Pages 15-28

4. Advancements in the Computational Calculus of Variations

   • Carsten Carstensen, Cataldo Manigrasso

   Pages 29-50

5. A Phase Field Approach to Wetting and Contact Angle Hysteresis Phenomena

   • Antonio DeSimone, Livio Fedeli, Alessandro Turco

   Pages 51-63

6. Application of Relaxation Methods in Materials Science: From the Macroscopic Response of Elastomers to Crystal Plasticity

   • Georg Dolzmann

   Pages 65-77

7. Variational Concepts with Applications to Microstructural Evolution

   • F. D. Fischer, J. Svoboda, K. Hackl

   Pages 79-90

8. A Micromechanical Model for Polycrystalline Shape Memory Alloys – Formulation and Numerical Validation

   • Rainer Heinen, Klaus Hackl

   Pages 91-103

9. Solution-Precipitation Creep – Modeling and Extended FE Implementation

   • Sandra Ilic, Klaus Hackl

   Pages 105-116

10. Time-Continuous Evolution of Microstructures in Finite Plasticity

    • Dennis M. Kochmann, Klaus Hackl

    Pages 117-130

11. Models for Dynamic Fracture Based on Griffith’s Criterion

    • Christopher J. Larsen

    Pages 131-140

12. An Energetic Approach to Deformation Twinning

    • Khanh C. Le, Dennis M. Kochmann

    Pages 141-155

13. Computational Homogenization of Confined Frictional Granular Matter

    • H. A. Meier, P. Steinmann, E. Kuhl

    Pages 157-169

14. Existence Theory for Finite-Strain Crystal Plasticity with Gradient Regularization

    • Alexander Mielke

    Pages 171-183

15. Error Bounds for Space-Time Discretizations of a 3D Model for Shape-Memory Materials

    • Alexander Mielke, Laetitia Paoli, Adrien Petrov, Ulisse Stefanelli

    Pages 185-197

16. On the Implementation of Variational Constitutive Updates at Finite Strains

    • J. Mosler, O. T. Bruhns

    Pages 199-208

17. Phase-Field Modeling of Nonlinear Material Behavior

    • Y.-P. Pellegrini, C. Denoual, L. Truskinovsky

    Pages 209-220

18. Polyconvex Energies for Trigonal, Tetragonal and Cubic Symmetry Groups

    • Jörg Schröder, Patrizio Neff, Vera Ebbing

    Pages 221-232

19. Phase Transitions with Interfacial Energy: Interface Null Lagrangians, Polyconvexity, and Existence

    • M. Šilhavý

    Pages 233-244

20. A Unified Variational Setting and Algorithmic Framework for Mono- and Polycrystalline Martensitic Phase Transformations

    • Erwin Stein, Gautam Sagar

    Pages 245-259

Variational calculus has been the basis of a variety of powerful methods in the ?eld of mechanics of materials for a long time. Examples range from numerical schemes like the ?nite element method to the determination of effective material properties via homogenization and multiscale approaches. In recent years, however, a broad range of novel applications of variational concepts has been developed. This c- prises the modeling of the evolution of internal variables in inelastic materials as well as the initiation and development of material patterns and microstructures. The IUTAM Symposium on “Variational Concepts with Applications to the - chanics of Materials” took place at the Ruhr-University of Bochum, Germany, on September 22–26, 2008. The symposium was attended by 55 delegates from 10 countries. Altogether 31 lectures were presented. The objective of the symposium was to give an overview of the new dev- opments sketched above, to bring together leading experts in these ?elds, and to provide a forum for discussing recent advances and identifying open problems to work on in the future. The symposium focused on the developmentof new material models as well as the advancement of the corresponding computational techniques. Speci?c emphasis is put on the treatment of materials possessing an inherent - crostructure and thus exhibiting a behavior which fundamentally involves multiple scales. Among the topics addressed at the symposium were: 1. Energy-based modeling of material microstructures via envelopes of n- quasiconvex potentials and applications to plastic behavior and pha- transformations.

• Calculus of Variations
• Convexity
• algorithm
• alloy
• calculus
• crystal
• development
• differential equation
• mechanics
• microstructure
• model
• modeling
• plasticity
• simulation
• transformation

• LS Allgemeine Mechanik, Universität Bochum, Bochum, Germany

  Klaus Hackl

Policies and ethics