Nonsmooth/Nonconvex Mechanics

1. Front Matter

   Pages i-xliv

   PDF

2. Stability of a Quasi-Static Evolution of a Visco-Elastic, Visco-Plastic or Elastic-Plastic Solid

   • F. Abed-Meraim, Q. S. Nguyen

   Pages 1-14

3. Variational Principles for Self-Adjoint Elliptic Eigenproblems

   • Giles Auchmuty

   Pages 15-42

4. A Sensitivity Equation Method for Conduction and Phase Change Problems

   • Jeff Borggaard, Dominique Pelletier

   Pages 43-67

5. Rock’s Interface Problem Including Adhesion

   • Y. Dumont, D. Goeleven, K. L. Kuttler, M. Rochdi, M. Shillor

   Pages 69-82

6. On a Class of Differential-Hemivariational Inequalities

   • Mishel Fundo

   Pages 83-94

7. Nonsmooth and Nonconvex Dynamics: Duality, Polarity and Complementary Extremum Principles

   • David Yang Gao

   Pages 95-140

8. The Numerical Realization of the Signorini Problem with a Given Friction Based on the Reciprocal Variational Formulation

   • Jaroslav Haslinger, Zdeněk Dostál, Radek Kučera

   Pages 141-171

9. A Hemivariational Inequality and a Nonconvex Energy Bundle Approach to the Problem of Debonding in Adhesively Bonded Composite Structures

   • D. N. Kaziolas, M. J. Kontoleon, C. C. Baniotopoulos

   Pages 173-187

10. Effect of nonlinearity in nonsmooth and nonconvex structural behavior

    • Marta Kurutz

    Pages 189-230

11. On Some Pseudoelastic Solutions in the Spinoidal Region for the One-Dimensional Martensite Phase Transitions

    • K. A. Lazopoulos

    Pages 231-245

12. Inverse Coefficient Problem for Elliptic Hemivariational Inequality

    • S. Migórski, A. Ochal

    Pages 247-261

13. Location of Solutions to Eigenvalue Problems for Hemivariational Inequalities

    • D. Motreanu

    Pages 263-275

14. Non-Smooth Changes in Elastic Material Properties under Finite Deformation

    • R. W. Ogden

    Pages 277-299

15. Nonlinear Rescaling in Discrete Minimax

    • Roman A. Polyak, Igor Griva, Jarek Sobieszczanski-Sobieski

    Pages 301-331

16. Hemivariational Inequalities Associated to Multivalued Problems with Strong Resonance

    • Vicenţiu Rădulescu

    Pages 333-348

17. Freely Propagating Waves in a Supported Nonlinear Elastic Beam

    • David L. Russell

    Pages 349-367

18. Shape Sensitivities for Optimal Design: A Case Study on the Use of Continuous Sensitivity Equation Methods

    • Lisa G. Stanley

    Pages 369-389

19. Optimal Design and Identification Problems in Nonsmooth Mechanics

    • Georgios E. Stavroulakis

    Pages 391-410

20. Study of an Adhesively Supported Von Kármán Plate. Existence and Bifurcation of the Solutions

    • K. Tsilika

    Pages 411-425

• calculus
• deformation
• design
• dynamics
• inequality
• linearity
• mechanics
• modeling
• numerical method
• stability

'[...] in my opinion it is interesting and useful to all researchers in theoretical and applied mechanics, since it represents a rich source of information on recent developments concerning mathematical models which at present arise more and more frequently in various technological and engineering sectors.'
Meccanica, 36 (2001)

• Department of Mathematics, Virginia Tech, Blacksburg, USA

  David Y. Gao

• Department of Mathematics, University of Glasgow, Glasgow, UK

  Ray W. Ogden

• Department of Civil Engineering, Technical University Carolo Wilhelmina, Braunschweig, Germany

  Georgios E. Stavroulakis

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