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Mathematical Elasticity

P. G. Ciarlet (Autor)

Buch | Hardcover

465 Seiten

1988
Elsevier Science Ltd (Verlag)
978-0-444-70259-3 (ISBN)

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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.

Part A: Description of Three-Dimensional Elasticity. Geometrical and other Preliminaries. The Equations of Equilibrium and the Principle of Virtual Work. Elastic Materials and their Constitutive Equations. Hyperelasticity. The Boundary Value Problems of Three-Dimensional Elasticity. Part B: Mathematical Methods in Three-Dimensional Elasticity. Existence Theory based on the Implicit Function Theorem. Existence Theory based on the Minimization of the Energy. Bibliography. Index.

Reihe/Serie	Studies in Mathematics & its Applications
Verlagsort	Oxford
Sprache	englisch
Maße	150 x 230 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Themenwelt	Technik ► Maschinenbau
ISBN-10	0-444-70259-8 / 0444702598
ISBN-13	978-0-444-70259-3 / 9780444702593
Zustand	Neuware