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Nonsmooth/nonconvex mechanics : modeling, analysis, and numerical methods

Author: David Yang Gao; R W Ogden; G E Stavroulakis
Publisher: Dordrecht ; Boston : Kluwer Academic Publishers, ©2001.
Series: Nonconvex optimization and its applications, v. 50.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:

Offers a discussion of mathematical topics including variational and hemivariational inequalities, duality, complementarity, variational principles, sensitivity analysis, eigenvalue and resonance  Read more...

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: David Yang Gao; R W Ogden; G E Stavroulakis
ISBN: 0792367863 9780792367864
OCLC Number: 45463398
Notes: "A volume dedicated to the memory of Professor P.D. Panagiotopoulos."
Description: xliv, 471 pages : illustrations ; 25 cm.
Contents: Contributing Authors. Preface. In Memoriam, Professor P.D. Panagiotopoulos. 1. Stability of a quasi-static evolution; F. Abed-Meraim, Q.S. Nguyen. 2. Variational principles for self-adjoint elliptic eigenproblems; G. Auchmuty. 3. A sensitivity equation method for conduction and phase change problems; J. Borggaard, D. Pelletier. 4. Rock's interface problem including adhesion; Y. Dumont, D. Goeleven, K.L. Kuttler, M. Rochdi, M. Shillor. 5. On a class of differential-hemivariational inequalities; M. Foundo. 6. Nonsmooth/nonconvex dynamics: Duality, polarity, compklementary extrema; D.Y. Gao. 7. Signorini problem with a given friction; J. Haslinger, Z. Dostal, R. Kuccera. 8. Debonding of adhesively bonded composite structures; D.N. Kaziolas, M.J. Kontoleon, C.C. Baniotopoulos. 9. Effect of nonlinearity in nonsmooth and nonconvex structural behaviour; M. Kurutz. 10. Pseudoelastic solutions for one-dimensional martensite phase transitions; K.A. Lazopoulos. 11. Inverse Coefficient Problem; S. Migorski, A. Ochal. 12. Solutions to eigenvalue problems for hemivariational inequalities; D. Motreanu. 13. Non-smooth changes in elastic material properties under finite deformation; R.W. Ogden. 14. Nonlinear Resealing in discrete minimax; R.A. Polyak, I. Griva, J. Sobieszczanski-Sobieski. 15. Multivalued problems with strong resonance; V. Radulescu. 16. Freely propagating waves in a supported nonlinear elastic beam; D.L. Russell. 17. Shape sensitivities for optimal design: A case study;L.G. Stanley. 18. Optimal design and identification problems in nonsmooth mechanics; G.E. Stavroulakis. 19. Adhesively Supported von Karman Plate; K. Tsilika. 20. Optimality conditions of semi-invex functions; V. Vetrivel, J. Dutta. 21. The chaotic behavior of a physically nonlinear beam; Y.-H. Xu. 22. Duality principle in nonholonomic mechanical systems; H. Yoshimura, T. Kawase.
Series Title: Nonconvex optimization and its applications, v. 50.
Responsibility: edited by David Y. Gao, Ray W. Ogden and Georgios E. Stavroulakis.
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'[...] 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 Read more...

 
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