IUTAM Symposium on Variational Concepts with Applications to the Mechanics of Materials [electronic resource] : Proceedings of the IUTAM Symposium on Variational Concepts with Applications to the Mechanics of Materials, Bochum, Germany, September 22-26, 2008 / edited by Klaus Hackl.Material type: TextLanguage: English Series: IUTAM Bookseries: 21Publisher: Dordrecht : Springer Netherlands, 2010Description: XVII, 272p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9789048191956Subject(s): Engineering | Global analysis (Mathematics) | Engineering mathematics | Materials | Engineering | Continuum Mechanics and Mechanics of Materials | Calculus of Variations and Optimal Control, Optimization | Mathematical Modeling and Industrial Mathematics | Analysis | Appl.Mathematics/Computational Methods of EngineeringAdditional physical formats: Printed edition:: No titleDDC classification: 620.1 LOC classification: TA405-409.3QA808.2Online resources: Click here to access online
Stability of Quasi-Static Crack Evolution through Dimensional Reduction -- FE2-Simulation of Microheterogeneous Steels Based on Statistically Similar RVEs -- Advancements in the Computational Calculus of Variations -- A Phase Field Approach to Wetting and Contact Angle Hysteresis Phenomena -- Application of Relaxation Methods in Materials Science: From the Macroscopic Response of Elastomers to Crystal Plasticity -- Variational Concepts with Applications to Microstructural Evolution -- A Micromechanical Model for Polycrystalline Shape Memory Alloys – Formulation and Numerical Validation -- Solution-Precipitation Creep – Modeling and Extended FE Implementation -- Time-Continuous Evolution of Microstructures in Finite Plasticity -- Models for Dynamic Fracture Based on Griffith’s Criterion -- An Energetic Approach to Deformation Twinning -- Computational Homogenization of Confined Frictional Granular Matter -- Existence Theory for Finite-Strain Crystal Plasticity with Gradient Regularization -- Error Bounds for Space-Time Discretizations of a 3D Model for Shape-Memory Materials -- On the Implementation of Variational Constitutive Updates at Finite Strains -- Phase-Field Modeling of Nonlinear Material Behavior -- Polyconvex Energies for Trigonal, Tetragonal and Cubic Symmetry Groups -- Phase Transitions with Interfacial Energy: Interface Null Lagrangians, Polyconvexity, and Existence -- A Unified Variational Setting and Algorithmic Framework for Mono- and Polycrystalline Martensitic Phase Transformations -- Dissipative Systems in Contact with a Heat Bath: Application to Andrade Creep.
The symposium focused on novel applications of methods from the calculus of variations to the solid mechanics of materials, including the development of new material models as well as the advancement of the corresponding computational techniques. Specific emphasis was put on the treatment of materials posessing an inherent microstructure and thus exhibiting a behavior which fundamentally involves multiple scales. Among the topic treated in this volume are: Energy-based modeling of material microstructures; modeling of the evolution of material microstructures; micromechanical modeling of shape-memory alloys; variational multiscale methods and associated numerical procedures; and micromechanics of multifield and multiphysics problems.