Variational Methods for Crystalline Microstructure - Analysis and Computation

• Main Author: Dolzmann, Georg (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2003.
• Edition: 1st ed. 2003.
• Series: Lecture Notes in Mathematics, 1803
• Subjects: Mathematics.; Condensed matter.; Partial differential equations.; Numerical analysis.; Physics.; Mechanics.; Mathematics, general.; Condensed Matter Physics.; Partial Differential Equations.; Numerical Analysis.; Mathematical Methods in Physics.; Classical Mechanics.

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 sci...

Table of Contents:

• Introduction
• Semiconvex Hull of Compact Sets
• Macroscopic Energy for Nematic Elastomers
• Uniqueness and Stability of Microstructure
• Applications to Martensitic Transformations
• Algorithmic Aspects
• Bibliographic Remarks
• A. Convexity Conditions and Rank-one Connections
• B. Elements of Crystallography
• C. Notation
• References
• Index.