Variational Methods for Crystalline Microstructure - Analysis and Computation: 1803 (Lecture Notes in Mathematics) - Softcover

Dolzmann, Georg

Softcover

ISBN 10: 354000114X ISBN 13: 9783540001140

Verlag: Springer, 2008

Inhaltsangabe

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.

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Reseña del editor

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.

Details zur Ausgabe

• Verlag: Springer
• Erscheinungsdatum: 2008
• ISBN 10: 354000114X
• ISBN 13: 9783540001140
• Einband: Tapa blanda
• Sprache: Englisch
• Anzahl der Seiten: 228
• Kontakt zum Hersteller: Nicht verfügbar