IUTAM Symposium on Variational Concepts with Applications to the Mechanics of Materials Proceedings of the IUTAM Symposium on Variational Concepts with Applications to the Mechanics of Materials, Bochum, Germany, September 22-26, 2008

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 materia...

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Bibliographic Details
Other Authors: Hackl, Klaus (Editor)
Format: eBook
Language:English
Published: Dordrecht Springer Netherlands 2010, 2010
Edition:1st ed. 2010
Series:IUTAM Bookseries
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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245 0 0 |a IUTAM Symposium on Variational Concepts with Applications to the Mechanics of Materials  |h Elektronische Ressource  |b Proceedings of the IUTAM Symposium on Variational Concepts with Applications to the Mechanics of Materials, Bochum, Germany, September 22-26, 2008  |c edited by Klaus Hackl 
250 |a 1st ed. 2010 
260 |a Dordrecht  |b Springer Netherlands  |c 2010, 2010 
300 |a XVII, 272 p  |b online resource 
505 0 |a 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 
653 |a Mechanics, Applied 
653 |a Engineering mathematics 
653 |a Mathematical analysis 
653 |a Calculus of Variations and Optimization 
653 |a Analysis 
653 |a Solids 
653 |a Solid Mechanics 
653 |a Mathematical Modeling and Industrial Mathematics 
653 |a Engineering / Data processing 
653 |a Mathematical optimization 
653 |a Mathematical and Computational Engineering Applications 
653 |a Calculus of variations 
653 |a Mathematical models 
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028 5 0 |a 10.1007/978-90-481-9195-6 
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520 |a 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