Variational Inequalities and Frictional Contact Problems / by Anca Capatina
| データ種別 | 電子書籍 |
|---|---|
| 出版者 | Cham : Springer International Publishing : Imprint: Springer |
| 出版年 | 2014 |
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| 書誌ID | OB01028623 |
|---|---|
| 本文言語 | 英語 |
| 一般注記 | Introduction -- Part I: Preliminaries -- Spaces of Real-valued Functions -- Spaces of Vector-valued Functions -- Part II: Variational Inequalities -- Existence and Uniqueness Results -- Some Properties of Solutions -- Dual Formulations -- Approximations of Variational Inequalities -- Part III: Contact Problems with Friction in Elasticity -- Static Problems -- Quasistatic Problems. License restrictions may limit access Summary: Variational Inequalities and Frictional Contact Problems contains a carefully selected collection of results on elliptic and evolutionary quasi-variational inequalities including existence, uniqueness, regularity, dual formulations, numerical approximations and error estimates ones. By using a wide range of methods and arguments, the results are presented in a constructive way, with clarity and well justified proofs. This approach makes the subjects accessible to mathematicians and applied mathematicians. Moreover, this part of the book can be used as an excellent background for the investigation of more general classes of variational inequalities. The abstract variational inequalities considered in this book cover the variational formulations of many static and quasi-static contact problems. Based on these abstract results, in the last part of the book, certain static and quasi-static frictional contact problems in elasticity are studied in an almost exhaustive way. The readers will find a systematic and unified exposition on classical, variational and dual formulations, existence, uniqueness and regularity results, finite element approximations and related optimal control problems. This part of the book is an update of the Signorini problem with nonlocal Coulomb friction, a problem little studied and with few results in the literature. Also, in the quasi-static case, a control problem governed by a bilateral contact problem is studied. Despite the theoretical nature of the presented results, the book provides a background for the numerical analysis of contact problems. The materials presented are accessible to both graduate/under graduate students and to researchers in applied mathematics, mechanics, and engineering. The obtained results have numerous applications in mechanics, engineering and geophysics. The book contains a good amount of original results which, in this unified form, cannot be found anywhere else |
| 著者標目 | *Capatina, Anca SpringerLink (Online service) |
| 統一書名標目 | Advances in Mechanics and Mathematics, |
| 件 名 | LCSH:Cell aggregation -- Mathematics
全ての件名で検索
LCSH:Global differential geometry LCSH:Engineering mathematics FREE:Manifolds and Cell Complexes (incl. Diff.Topology) FREE:Differential Geometry FREE:Mathematical and Computational Engineering |
| 分 類 | LCC:QA613-613.8 LCC:QA613.6-613.66 DC23:514.34 |
| 巻冊次 | ISBN:9783319101637 RefWorks出力（各巻） print ; ISBN:9783319101644 RefWorks出力（各巻） print ; ISBN:9783319101620 RefWorks出力（各巻） print ; ISBN:9783319357355 RefWorks出力（各巻） |
| 資料種別 | 機械可読データファイル |
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