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Mathematical Problems in Shape Optimization and Shape Memory Materials

Mathematical Problems in Shape Optimization and Shape Memory Materials

Paperback

Series: Methoden Und Verfahren Der Mathematischen Physik, Book 38

General MathematicsGeneral SciencePhysics

Currently unavailable to order

ISBN10: 3631450850
ISBN13: 9783631450857
Publisher: Peter Lang
Published: Aug 1 1992
Pages: 120
Language: English
The book is devoted to nonlinear mathematical problems encountered in modern structural design: shape optimization and smart materials. In the first part a method of sensitivity calculations for singular elliptic problems is proposed and its correctness as well as some properties are proved. Examples of applications are given. The second part concerns structures reinforced with shape memory materials. The existence, uniqueness and differentiability properties of solutions to dynamic problems are proved, based on the Landau-Devonshire shape memory effect model. Finally, an approach to the description of noncristalline shape memory materials with preliminary existence results is presented.

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