Three-Dimensional Elasticity

Buch | Softcover

456 Seiten

1994
North-Holland (Verlag)
978-0-444-81776-1 (ISBN)

Artikel merken

An introduction to contemporary research in elasticity, this text descibes the two competing mathematical models of three-dimensional elasticity, together with a mathematical analysis of these models. Emphasis is placed on nonlinear aspects.

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 1. Geometrical and other preliminaries. 2. The equations of equilibrium and the principle of virtual work. 3. Elastic materials and their constitutive equations. 4. Hyperelasticity. 5. The boundary value problems of three-dimensional elasticity. Part B. Mathematical Methods in Three-Dimensional Elasticity 6. Existence theory based on the implicit function theorem. 7. Existence theory based on the minimization of the Energy. Bibliography. Index.

Erscheint lt. Verlag	19.1.1994
Reihe/Serie	Studies in Mathematics & Its Applications
Mitarbeit	Herausgeber (Serie): Philippe G. Ciarlet
Sprache	englisch
Maße	156 x 234 mm
Gewicht	790 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Naturwissenschaften ► Physik / Astronomie ► Mechanik
	Technik ► Maschinenbau
ISBN-10	0-444-81776-X / 044481776X
ISBN-13	978-0-444-81776-1 / 9780444817761
Zustand	Neuware