{
"item_title" : "Mathematical Problems in Shape Optimization and Shape Memory Materials",
"item_author" : [" Erich Martensen", "Antoni Zochowski "],
"item_description" : "The book is devoted to nonlinear mathematical problems encountered in modern structural design: shape optimization andsmartmaterials. 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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Mathematical Problems in Shape Optimization and Shape Memory Materials
by Erich Martensen and Antoni Zochowski
Overview
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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Details
- ISBN-13: 9783631450857
- ISBN-10: 3631450850
- Publisher: Peter Lang Gmbh, Internationaler Verlag Der W
- Publish Date: August 1992
- Page Count: 120
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