Analysis and Approximation of Contact Problems with Adhesion or Damage Contributor(s): Sofonea, Mircea (Author), Han, Weimin (Author), Shillor, Meir (Author) |
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ISBN: 1584885858 ISBN-13: 9781584885856 Publisher: CRC Press OUR PRICE: $161.50 Product Type: Hardcover Published: September 2005 Annotation: Beginning with an introduction to modeling and functional and numerical analysis, Analysis and Approximation of Contact Problems with Adhesion or Damage devotes individual chapters to models involving adhesion and material damage, with each chapter exploring a particular model. For each model, the authors provide the 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 section summarizes the results, presents bibliographic comments, and considers future directions in the field. |
Additional Information |
BISAC Categories: - Technology & Engineering | Materials Science - General - Mathematics | Applied |
Dewey: 620.105 |
LCCN: 2005050638 |
Series: Chapman & Hall/CRC Pure and Applied Mathematics |
Physical Information: 0.72" H x 6.32" W x 9.34" (1.41 lbs) 238 pages |
Descriptions, Reviews, Etc. |
Publisher Description: 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. |