Analysis and Approximation of Contact Problems with Adhesion or DamageResearch into contact problems continues to produce a rapidly growing body of knowledge. Recognizing the need for a single, concise source of information on models and analysis of contact problems, accomplished experts Sofonea, Han, and Shillor carefully selected several models and thoroughly study them in Analysis and Approximation of Contact P |
Contents
Basic Equations and Boundary Conditions | 3 |
Preliminaries on Functional Analysis | 25 |
Preliminaries on Numerical Analysis | 51 |
Frictionless Contact Problems with Adhesion | 79 |
Quasistatic Viscoelastic Contact with Adhesion | 81 |
Dynamic Viscoelastic Contact with Adhesion | 103 |
Quasistatic Viscoplastic Contact with Adhesion | 117 |
Contact Problems with Damage | 147 |
Quasistatic Viscoelastic Contact with Damage | 149 |
Dynamic Viscoelastic Contact with Damage | 163 |
Quasistatic Viscoplastic Contact with Damage | 173 |
Notes Comments and Conclusions | 193 |
Bibliographical Notes Problems for Future Research and Conclusions | 195 |
207 | |
217 | |
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Analysis and Approximation of Contact Problems with Adhesion or Damage Mircea Sofonea,Weimin Han,Meir Shillor No preview available - 2005 |
Common terms and phrases
additional adhesion analysis applied approximation arguments assume assumptions Banach space body bonding field bound boundary chapter choose coefficient condition consider constant constitutive contact problems continuous convergence damage damage field deduce defined Definition denote depends derive described discrete displacement field elasticity equations error estimates evolution exists a unique finite element follows foundation friction fully discrete function given hold implies inequality initial inner product involving Lemma linear Lipschitz material mathematical models Moreover norm normal compliance numerical obtain operator positive presented proof properties prove Recall references regularity respectively satisfies scheme Signorini similar solution of Problem step stress field surface tangential term Theorem unique solution viscoelastic weak yields
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Page i - EDITORIAL BOARD MS Baouendi University of California, San Diego Jane Cronin Rutgers University Jack K. Hale Georgia Institute of Technology S. Kobayashi University of California, Berkeley Marvin Marcus University of California, Santa Barbara WS Massey Yale University Anil Nerode Cornell University Donald Passman University of Wisconsin, Madison Fred S. Roberts Rutgers University David L. Russell Virginia Polytechnic Institute and State University Walter Schempp Universität Siegen Mark Teply University...
Page i - ... Lecture Notes EXECUTIVE EDITORS Earl J. Taft Rutgers University New Brunswick, New Jersey Zuhair Nashed University of Delaware Newark, Delaware CHAIRMEN OF THE EDITORIAL BOARD S.
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Page i - California, San Diego Jane Cronin Rutgers University Jack K. Hale Georgia Institute of Technology S. Kobayashi University of California, Berkeley Marvin Marcus University of California, Santa Barbara WS Massey Yale University Anil Nerode Cornell University Donald Passman University of Wisconsin, Madison Fred S. Roberts Rutgers University David L. Russell Virginia Polytechnic Institute and State University Walter Schempp Universitdt Siegen Mark Teply University of Wisconsin, Milwaukee MONOGRAPHS AND...
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