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Nonsmooth/Nonconvex Mechanics

Modeling, Analysis and Numerical Methods

  • Book
  • © 2001

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Editors:
  1. David Y. Gao

    1. Department of Mathematics, Virginia Tech, Blacksburg, USA

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    You can also search for this editor in PubMed   Google Scholar

  2. Ray W. Ogden

    1. Department of Mathematics, University of Glasgow, Glasgow, UK

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    You can also search for this editor in PubMed   Google Scholar

  3. Georgios E. Stavroulakis

    1. Department of Civil Engineering, Technical University Carolo Wilhelmina, Braunschweig, Germany

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Nonconvex Optimization and Its Applications (NOIA, volume 50)

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Table of contents (22 chapters)

  1. Front Matter

    Pages i-xliv
    Download chapter 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
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Reviews

'[...] 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)

Editors and Affiliations

  • 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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