Nonsmooth/Nonconvex Mechanics

Modeling, Analysis and Numerical Methods

By: David Yang Gao (Editor), Ray W. Ogden (Editor), Georgios E. Stavroulakis (Editor)

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Hardcover | 31 March 2001

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524 Pages

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24.77 x 17.15 x 3.81

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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.

Industry 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)

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Contributing Authors
Preface
In Memoriam, Professor P. D. Panagiotopoulos
Stability of a quasi-static evolution	p. 1
Variational principles for self-adjoint elliptic eigenproblems	p. 15
A sensitivity equation method for conduction and phase change problems	p. 43
Rock's interface problem including adhesion	p. 69
On a Class of Differential-Hemivariational Inequalities	p. 83
Nonsmooth/Nonconvex dynamics: Duality, polarity, complementary extrema	p. 95
Signorini problem with a given friction	p. 141
Debonding of Adhesively Bonded Composite Structures	p. 173
Effect of nonlinearity in nonsmooth and nonconvex structural behaviour	p. 189
Pseudoelastic solution for one-dimensional martensite phase transitions	p. 231
Inverse Coefficient Problem	p. 247
Solutions to eigenvalue problems for hemivariational inequalities	p. 263
Non-smooth changes in elastic material properties under finite deformation	p. 277
Nonlinear Rescaling in discrete minimax	p. 301
Multivalued problems with strong resonance	p. 333
Freely propagating waves in a supported nonlinear elastic beam	p. 349
Shape sensitivities for optimal design: A case study	p. 369
Optimal design and identification problems in nonsmooth mechanics	p. 391
Adhesively Supported von Karman Plate	p. 411
Optimality conditions of semi-invex functions	p. 427
The chaotic behaviour of a physically nonlinear beam	p. 437
Duality principle in nonholonomic mechanical systems	p. 447
Table of Contents provided by Blackwell. All Rights Reserved.

Nonsmooth/Nonconvex Mechanics

Modeling, Analysis and Numerical Methods

At a Glance

Hardcover

Industry Reviews

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How to return your order

Defective items

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