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Nonsmoothness and nonconvexity arise in numerous applications of mechan- ics and modeling due to the need for studying more and more complicated phe- nomena and real life applications. Mathematicians have started to provide the necessary tools and theoretical results underpinning these applications. Ap- plied mathematicians and engineers have begun to realize the benefits of this new area and are adopting, increasingly, these new tools in their work. New computational tools facilitate numerical applications and enable the theory to be tested, and the resulting feedback poses new theoretical questions. Because of the upsurge in activity in the area of nonsmooth and noncon- vex mechanics, Professors Gao and Ogden, together with the late Professor P.D. Panagiotopoulos, had planned to organize a Minisymposium with the title Nonsmooth and Nonconvex Mechanics within the ASME 1999 Mechanics & Materials Conference, June 27-30 1999, Blacksburg, Virginia. After the unex- pected death of Professor Panagiotopoulos the first two editors invited the third editor (Professor Stavroulakis) to join them. A large number of mathematical and engineering colleagues supported our efforts by presenting lectures at the Minisymposium in which the available mathematical methods were described and many problems of nonsmooth and nonconvex mechanics were discussed. The interest of the many participants encourages us all to continue our research efforts.
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Recensione
'[...] 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)
Contenuti
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 physically nonlinear beam; Y.-H. Xu. 22. Duality principle in nonholonomic mechanical systems; H. Yoshimura, T. Kawase.
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Nonsmooth/Nonconvex Mechanics: Modeling, Analysis, and Numerical Methods: 50
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Kluwer Academic Pub, 2001
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ISBN 13: 9780792367864
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Nonsmooth/Nonconvex Mechanics: Modeling, Analysis and Numerical Methods (Nonconvex Optimization and Its Applications, 50)
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Nonsmooth/Nonconvex Mechanics (Hardcover)
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Hardcover. Condizione: new. Hardcover. 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. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Codice articolo 9780792367864
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Nonsmooth/Nonconvex Mechanics: Modeling, Analysis and Numerical Methods (Nonconvex Optimization and Its Applications, 50)
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Nonsmooth/Nonconvex Mechanics
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Buch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Nonsmoothness and nonconvexity arise in numerous applications of mechan ics and modeling due to the need for studying more and more complicated phe nomena and real life applications. Mathematicians have started to provide the necessary tools and theoretical results underpinning these applications. Ap plied mathematicians and engineers have begun to realize the benefits of this new area and are adopting, increasingly, these new tools in their work. New computational tools facilitate numerical applications and enable the theory to be tested, and the resulting feedback poses new theoretical questions. Because of the upsurge in activity in the area of nonsmooth and noncon vex mechanics, Professors Gao and Ogden, together with the late Professor P.D. Panagiotopoulos, had planned to organize a Minisymposium with the title Nonsmooth and Nonconvex Mechanics within the ASME 1999 Mechanics & Materials Conference, June 27-30 1999, Blacksburg, Virginia. After the unex pected death of Professor Panagiotopoulos the first two editors invited the third editor (Professor Stavroulakis) to join them. A large number of mathematical and engineering colleagues supported our efforts by presenting lectures at the Minisymposium in which the available mathematical methods were described and many problems of nonsmooth and nonconvex mechanics were discussed. The interest of the many participants encourages us all to continue our research efforts. 524 pp. Englisch. Codice articolo 9780792367864
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Nonsmooth/Nonconvex Mechanics
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Gebunden. Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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 . Codice articolo 5969681
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Nonsmooth/Nonconvex Mechanics
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Condizione: New. 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. Editor(s): Gao, David Yang; Ogden, Ray W.; Stavroulakis, Georgios E. Series: Nonconvex Optimization and Its Applications. Num Pages: 520 pages, biography. BIC Classification: PBWH; PDE; PHD. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 234 x 156 x 28. Weight in Grams: 906. . 2001. Hardback. . . . . Codice articolo V9780792367864
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Nonsmooth/Nonconvex Mechanics: Modeling, Analysis and Numerical Methods
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Nonsmooth/Nonconvex Mechanics
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ISBN 10: 0792367863
ISBN 13: 9780792367864
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Buch. Condizione: Neu. Neuware -Nonsmoothness and nonconvexity arise in numerous applications of mechan ics and modeling due to the need for studying more and more complicated phe nomena and real life applications. Mathematicians have started to provide the necessary tools and theoretical results underpinning these applications. Ap plied mathematicians and engineers have begun to realize the benefits of this new area and are adopting, increasingly, these new tools in their work. New computational tools facilitate numerical applications and enable the theory to be tested, and the resulting feedback poses new theoretical questions. Because of the upsurge in activity in the area of nonsmooth and noncon vex mechanics, Professors Gao and Ogden, together with the late Professor P.D. Panagiotopoulos, had planned to organize a Minisymposium with the title Nonsmooth and Nonconvex Mechanics within the ASME 1999 Mechanics & Materials Conference, June 27-30 1999, Blacksburg, Virginia. After the unex pected death of Professor Panagiotopoulos the first two editors invited the third editor (Professor Stavroulakis) to join them. A large number of mathematical and engineering colleagues supported our efforts by presenting lectures at the Minisymposium in which the available mathematical methods were described and many problems of nonsmooth and nonconvex mechanics were discussed. The interest of the many participants encourages us all to continue our research efforts.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 524 pp. Englisch. Codice articolo 9780792367864
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Nonsmooth/Nonconvex Mechanics : Modeling, Analysis and Numerical Methods
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Buch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - Nonsmoothness and nonconvexity arise in numerous applications of mechan ics and modeling due to the need for studying more and more complicated phe nomena and real life applications. Mathematicians have started to provide the necessary tools and theoretical results underpinning these applications. Ap plied mathematicians and engineers have begun to realize the benefits of this new area and are adopting, increasingly, these new tools in their work. New computational tools facilitate numerical applications and enable the theory to be tested, and the resulting feedback poses new theoretical questions. Because of the upsurge in activity in the area of nonsmooth and noncon vex mechanics, Professors Gao and Ogden, together with the late Professor P.D. Panagiotopoulos, had planned to organize a Minisymposium with the title Nonsmooth and Nonconvex Mechanics within the ASME 1999 Mechanics & Materials Conference, June 27-30 1999, Blacksburg, Virginia. After the unex pected death of Professor Panagiotopoulos the first two editors invited the third editor (Professor Stavroulakis) to join them. A large number of mathematical and engineering colleagues supported our efforts by presenting lectures at the Minisymposium in which the available mathematical methods were described and many problems of nonsmooth and nonconvex mechanics were discussed. The interest of the many participants encourages us all to continue our research efforts. Codice articolo 9780792367864
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