Mathematical problems in shape optimization and shape memory materials
著者
書誌事項
Mathematical problems in shape optimization and shape memory materials
（Methoden und Verfahren der mathematischen Physik, Bd. 38）
Peter Lang, c1992
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注記
Bibliography: p. [115]-120
内容説明・目次
内容説明
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.
目次
Contents: Shape sensitivity for singular elliptic problems - Existence results for structures reinforced with shape memory materials - Control problems with shape memory actuators - A model of the noncristalline shape memory material.
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