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Variational Methods for Crystalline Microstructure - Analysis and Computation / by Georg Dolzmann.
Math/Physics/Astronomy Library QA3 .L28 v.1-999 470,523,830,849:2nd ed. v.1000-1722,1762,1781,1799-2099,2100-2192-2218 2219-2223-2258,2260-2271,2273-2274-2277,2279-2281,2283-2289,2291,2293-2294,2296,2298-2299,2300-2311,2313-2366,2368-2379,2381-2382 2385,2388-2389
Mixed Availability
LIBRA QA3 .L28 Scattered vols.
Mixed Availability
- Format:
- Book
- Author/Creator:
- Dolzmann, Georg, author.
- Series:
- Lecture Notes in Mathematics, 0075-8434 ; 1803.
- Lecture Notes in Mathematics, 0075-8434 ; 1803
- Language:
- English
- Subjects (All):
- Mathematics.
- Differential equations, Partial.
- Numerical analysis.
- Mathematical physics.
- Mechanics.
- Mathematics, general.
- Condensed Matter Physics.
- Partial Differential Equations.
- Numerical Analysis.
- Mathematical Methods in Physics.
- Classical Mechanics.
- Local Subjects:
- Mathematics, general.
- Condensed Matter Physics.
- Partial Differential Equations.
- Numerical Analysis.
- Mathematical Methods in Physics.
- Classical Mechanics.
- Physical Description:
- 1 online resource (XI, 217 pages).
- Contained In:
- Springer eBooks
- Place of Publication:
- Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2003.
- System Details:
- text file PDF
- Summary:
- 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.
- 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.
- Other Format:
- Printed edition:
- ISBN:
- 9783540361251
- Access Restriction:
- Restricted for use by site license.
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