Analysis and Approximation of Contact Problems with Adhesion or Damage
Seiten
2005
Chapman & Hall/CRC (Verlag)
978-1-58488-585-6 (ISBN)
Chapman & Hall/CRC (Verlag)
978-1-58488-585-6 (ISBN)
Beginning with an introduction to modeling and functional and numerical analysis, this title deals with the chapters to models involving adhesion and material damage, exploring a particular model. For various models, it provides a variational formulation and establishes the existence and uniqueness of a weak solution.
Research 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 Problems with Adhesion or Damage. The book describes very recent models of contact processes with adhesion or damage along with their mathematical formulations, variational analysis, and numerical analysis.
Following an introduction to modeling and functional and numerical analysis, the book devotes individual chapters to models involving adhesion and material damage, respectively, with each chapter exploring a particular model. For each model, the authors provide a variational formulation and establish the existence and uniqueness of a weak solution. They study a fully discrete approximation scheme that uses the finite element method to discretize the spatial domain and finite differences for the time derivatives. The final chapter summarizes the results, presents bibliographic comments, and considers future directions in the field.
Employing recent results on elliptic and evolutionary variational inequalities, convex analysis, nonlinear equations with monotone operators, and fixed points of operators, Analysis and Approximation of Contact Problems with Adhesion or Damage places these important tools and results at your fingertips in a unified, accessible reference.
Research 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 Problems with Adhesion or Damage. The book describes very recent models of contact processes with adhesion or damage along with their mathematical formulations, variational analysis, and numerical analysis.
Following an introduction to modeling and functional and numerical analysis, the book devotes individual chapters to models involving adhesion and material damage, respectively, with each chapter exploring a particular model. For each model, the authors provide a variational formulation and establish the existence and uniqueness of a weak solution. They study a fully discrete approximation scheme that uses the finite element method to discretize the spatial domain and finite differences for the time derivatives. The final chapter summarizes the results, presents bibliographic comments, and considers future directions in the field.
Employing recent results on elliptic and evolutionary variational inequalities, convex analysis, nonlinear equations with monotone operators, and fixed points of operators, Analysis and Approximation of Contact Problems with Adhesion or Damage places these important tools and results at your fingertips in a unified, accessible reference.
Mircea Sofonea, Weimin Han, Meir Shillor
Modeling and Mathematical Background. Basic Equations and Boundary Conditions. Preliminaries on Functional Analysis. Preliminaries on Numerical Analysis. Frictionless Contact Problems with Adhesion. Quasistatic Viscoelastic Contact with Adhesion. Dynamic Viscoelastic Contact with Adhesion. Quasistatic Viscoplastic Contact with Adhesion. Contact Problems with Damage. Quasistatic Viscoelastic Contact with Damage. Dynamic Viscoelastic Contact with Damage. Quasistatic Viscoplastic Contact with Damage. Notes, Comments, and Conclusions. Bibliographical Notes, Problems for Future Research, and Conclusions. References. Index.
| Erscheint lt. Verlag | 26.9.2005 |
|---|---|
| Reihe/Serie | Chapman & Hall/CRC Pure and Applied Mathematics |
| Sprache | englisch |
| Maße | 152 x 229 mm |
| Gewicht | 600 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Angewandte Mathematik |
| Mathematik / Informatik ► Mathematik ► Geometrie / Topologie | |
| Technik ► Maschinenbau | |
| Technik ► Umwelttechnik / Biotechnologie | |
| ISBN-10 | 1-58488-585-8 / 1584885858 |
| ISBN-13 | 978-1-58488-585-6 / 9781584885856 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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