Variational Methods For Crystalline Microstructure Analysis And Computation


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Variational Methods for Crystalline Microstructure - Analysis and Computation


Variational Methods for Crystalline Microstructure - Analysis and Computation

Author: Georg Dolzmann

language: en

Publisher: Springer

Release Date: 2004-10-23


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Phase transformations in solids typically lead to surprising mechanical behaviour with far reaching technological applications. The mathematical modeling of these transformations in the late 80s initiated a new field of research in applied mathematics, often referred to as mathematical materials science, with deep connections to the calculus of variations and the theory of partial differential equations. This volume gives a brief introduction to the essential physical background, in particular for shape memory alloys and a special class of polymers (nematic elastomers). Then the underlying mathematical concepts are presented with a strong emphasis on the importance of quasiconvex hulls of sets for experiments, analytical approaches, and numerical simulations.

Variational Methods for Crystalline Microstructure - Analysis and Computation


Variational Methods for Crystalline Microstructure - Analysis and Computation

Author: Georg Dolzmann

language: en

Publisher: Springer Science & Business Media

Release Date: 2003-01-31


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Phase transformations in solids typically lead to surprising mechanical behaviour with far reaching technological applications. The mathematical modeling of these transformations in the late 80s initiated a new field of research in applied mathematics, often referred to as mathematical materials science, with deep connections to the calculus of variations and the theory of partial differential equations. This volume gives a brief introduction to the essential physical background, in particular for shape memory alloys and a special class of polymers (nematic elastomers). Then the underlying mathematical concepts are presented with a strong emphasis on the importance of quasiconvex hulls of sets for experiments, analytical approaches, and numerical simulations.

IUTAM Symposium on Theoretical, Computational and Modelling Aspects of Inelastic Media


IUTAM Symposium on Theoretical, Computational and Modelling Aspects of Inelastic Media

Author: B. Daya Reddy

language: en

Publisher: Springer Science & Business Media

Release Date: 2008-09-24


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This work comprises papers based on some of the talks presented at the IUTAM Symposium of the same name, held in Cape Town, January 14-18, 2008. This volume treats cutting-edge issues in modelling, the behaviour of various classes of inelastic media, and associated algorithms for carrying out computational simulations. A key feature of the contributions are works directed at modelling behaviour at the meso and micro-scales, and at bridging the micro-macro scales.