Mathematical Elasticity: Three-dimensional elasticity, Volume 1

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Elsevier, 1994 - Mathematics - 451 pages
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This volume is a thorough introduction to contemporary research in elasticity, and may be used as a working textbook at the graduate level for courses in pure or applied mathematics or in continuum mechanics. It provides a thorough description (with emphasis on the nonlinear aspects) of the two competing mathematical models of three-dimensional elasticity, together with a mathematical analysis of these models. The book is as self-contained as possible.

 

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Contents

Geometrical and other preliminaries
3
The equations of equilibrium and the principle
57
Exercises
85
Hyperelasticity
137
The boundary value problems of threedimensional
199
Existence theory based on the implicit function
269
Existence theory based on the minimization of
345
Bibliography
409
Index
435
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