Nonsmooth/Nonconvex Mechanics: Modeling, Analysis and Numerical Methods by David

The Nile on
Nonsmooth/Nonconvex Mechanics by David Yang Gao, Raymond W. Ogden, Georgios E. Stavroulakis

Offers a discussion of mathematical topics including variational and hemivariational inequalities, duality, complementarity, variational principles, sensitivity analysis, eigenvalue and resonance problems, and minimax problems. This book considers applications in different areas such as nonsmooth statics and dynamics.

FORMAT
Hardcover LANGUAGE
English CONDITION
Brand New Publisher Description

Non-smooth and non-convex models arise in several important applications of mechanics and engineering. The interest in this field is growing from both mathematicians and engineers. The study of numerous industrial applications, including contact phenomena in statics and dynamics or delamination effects in composites, requires the consideration of non-smoothness and non-convexity. The mathematical topics discussed in this book include variational and hemi-variational inequalities, duality, complementarity, variational principles, sensitivity analysis, eigenvalue and resonance problems, and minimax problems. Applications are considered in the following areas among others: non-smooth statics and dynamics, stability of quasi-static evolution processes, friction problems, adhesive contact and debonding, inverse problems, pseudoelastic modelling of phase transitions, chaotic behaviour in nonlinear beams, and nonholonomic mechanical systems. This volume contains 22 chapters written by various leading researchers and presents a cohesive and authoritative overview of recent results and applications in the area of nonsmooth and non-convex mechanics.

Table of 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. Dostál, 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. Migórski, 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 physicallynonlinear beam; Y.-H. Xu. 22. Duality principle in nonholonomic mechanical systems; H. Yoshimura, T. Kawase.

Review

'[...] 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)

Long Description

Nonsmoothness and nonconvexity arise in numerous applications of mechan

Review Text

' [...] 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)

Review Quote

'[...] 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)

Details ISBN0792367863 Author Georgios E. Stavroulakis Short Title NONSMOOTH/NONCONVEX MECHANICS Series Nonconvex Optimization and Its Applications Language English ISBN-10 0792367863 ISBN-13 9780792367864 Media Book Format Hardcover DEWEY 531 Series Number 50 Year 2001 Publication Date 2001-03-31 Subtitle Modeling, Analysis and Numerical Methods Place of Publication Dordrecht Edited by Raymond W. Ogden Pages 476 DOI Edition Description 2001 ed. Edition 2001st Illustrations XLIV, 476 p. Audience Undergraduate Country of Origin US Product Class Description Mathematics Publisher Kluwer Academic Publishers Imprint Kluwer Academic Publishers Country of Publication United States US Release Date 2001-03-31 Alternative 9781461302759
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