| Solution of Variational Inequalities in Mechanics Softcover Repri Edition Contributor(s): Hlavacek, Ivan (Author), Haslinger, Jaroslav (Author), Necas, Jindrich (Author) |
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ISBN: 0387965971 ISBN-13: 9780387965970 Publisher: Springer OUR PRICE: $104.49 Product Type: Paperback Published: July 1988 Annotation: This book deals with approximation and numerical realization of variational inequalities of elliptic type, having applications in mechanics of solids. Emphasis is devoted to the study of contact problems of elastic bodies and problems of plasticity. The main feature of the book is that problems are treated in all their complexity - from the analysis of the continuous models, existence and uniqueness results, to finite element models and the study of their mutual relation, error estimates, convergence results. Special attention is given to contact problems with friction, where some new results are presented, concerning Coulombs model of friction. |
| Additional Information |
| BISAC Categories: - Science | Mechanics - General - Technology & Engineering |
| Dewey: 531 |
| LCCN: 87020767 |
| Series: Applied Mathematical Sciences (Springer) |
| Physical Information: 0.56" H x 6.24" W x 9.28" (0.93 lbs) 275 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: The idea for this book was developed in the seminar on problems of con- tinuum mechanics, which has been active for more than twelve years at the Faculty of Mathematics and Physics, Charles University, Prague. This seminar has been pursuing recent directions in the development of mathe- matical applications in physics; especially in continuum mechanics, and in technology. It has regularly been attended by upper division and graduate students, faculty, and scientists and researchers from various institutions from Prague and elsewhere. These seminar participants decided to publish in a self-contained monograph the results of their individual and collective efforts in developing applications for the theory of variational inequalities, which is currently a rapidly growing branch of modern analysis. The theory of variational inequalities is a relatively young mathematical discipline. Apparently, one of the main bases for its development was the paper by G. Fichera (1964) on the solution of the Signorini problem in the theory of elasticity. Later, J. L. Lions and G. Stampacchia (1967) laid the foundations of the theory itself. Time-dependent inequalities have primarily been treated in works of J. L. Lions and H. Bnlzis. The diverse applications of the variational in- equalities theory are the topics of the well-known monograph by G. Du- vaut and J. L. Lions, Les iniquations en micanique et en physique (1972). |