The Boundary Integral Approach to Static and Dynamic Contact Problems

1. Front Matter

   Pages I-XV

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2. Introductory Material

   • Heinz Antes, Panagiotis D. Panagiotopoulos

   Pages 1-42

3. The Direct and Indirect B.I.E.M. for Bilateral Problems

   • Heinz Antes, Panagiotis D. Panagiotopoulos

   Pages 43-63

4. Boundary Integral Formulations for Some Special Elastostatic B.V.Ps

   • Heinz Antes, Panagiotis D. Panagiotopoulos

   Pages 65-84

5. On the Numerical Implementation of Boundary Element Equations

   • Heinz Antes, Panagiotis D. Panagiotopoulos

   Pages 85-90

6. Extension to Dynamic Problems

   • Heinz Antes, Panagiotis D. Panagiotopoulos

   Pages 91-117

7. Dynamic Interaction Problems

   • Heinz Antes, Panagiotis D. Panagiotopoulos

   Pages 119-145

8. Boundary Integral Formulations for the Signorini-Fichera Inequality Problem

   • Heinz Antes, Panagiotis D. Panagiotopoulos

   Pages 147-163

9. Mathematical Study of the Boundary Integral Formulations of the Signorini-Fichera B.V.P.

   • Heinz Antes, Panagiotis D. Panagiotopoulos

   Pages 165-175

10. Boundary Integral Formulation of the Frictional Unilateral Contact B.V.P.

    • Heinz Antes, Panagiotis D. Panagiotopoulos

    Pages 177-192

11. Boundary Integral Formulations for the Monotone Multivalued Contact Boundary Conditions

    • Heinz Antes, Panagiotis D. Panagiotopoulos

    Pages 193-208

12. Elastodynamic Unilateral Problems. A B.I.E. Approach

    • Heinz Antes, Panagiotis D. Panagiotopoulos

    Pages 209-221

13. Nonconvex Unilateral Contact Problems

    • Heinz Antes, Panagiotis D. Panagiotopoulos

    Pages 223-246

14. Miscellanea

    • Heinz Antes, Panagiotis D. Panagiotopoulos

    Pages 247-262

15. Back Matter

    Pages 263-307

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The fields of boundary integral equations and of inequality problems, or more gen­ erally, of nonsmooth mechanics, have seen, in a remarkably short time, a considerable development in mathematics and in theoretical and applied mechanics. The engineering sciences have also benefited from these developments in that open problems have been attacked succesfully and entirely new methodologies have been developed. The contact problems of elasticity is a class of problems which has offered many open questions to deal with, both to the research workers working on the theory of boundary integral equations and to those working on the theory of inequality problems. Indeed, the area of static and dynamic contact problems could be considered as the testing workbench of the new developments in both the inequality problems and in the boundary integral equations. This book is a first attempt to formulate and study the boundary integral equations arising in inequality contact problems. The present book is a result of more than two decades of research and teaching activity of the first author on boundary integral equations and, of the second author, on inequality problems, as well as the outgrowth of seminars and courses for a variety of audiences in the Technical University of Aachen, the Aristotle University of Thessa­ loniki, the Universities of Bochum, of Hamburg and Braunschweig, the Pontificia Univ. Catolica in Rio de Janeiro etc.

• Aristotle
• Integral equation
• elasticity
• growth
• mechanics

• Institut für Angewandte Mechanik, T.U. Braunschweig, Braunschweig, Germany

  Heinz Antes

• Dept. of Civil Engineering, Aristotle University, Thessaloniki, Greece

  Panagiotis D. Panagiotopoulos

• Fakultät für Mathematik und Physik, RWTH Aachen, Aachen, Germany

  Panagiotis D. Panagiotopoulos

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