Nonsmooth/Nonconvex Mechanics: Modeling, Analysis and Numerical Methods

✍ Scribed by F. Abed-Meraim, Q. S. Nguyen (auth.), David Y. Gao, Ray W. Ogden, Georgios E. Stavroulakis (eds.)

• Publisher: Springer US
• Year: 2001
• Tongue: English
• Leaves: 505
• Series: Nonconvex Optimization and Its Applications 50
• Edition: 1
• Category: Library

✦ Synopsis

'[...] 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)

✦ Table of Contents

Front Matter....Pages i-xliv
Stability of a Quasi-Static Evolution of a Visco-Elastic, Visco-Plastic or Elastic-Plastic Solid....Pages 1-14
Variational Principles for Self-Adjoint Elliptic Eigenproblems....Pages 15-42
A Sensitivity Equation Method for Conduction and Phase Change Problems....Pages 43-67
Rock’s Interface Problem Including Adhesion....Pages 69-82
On a Class of Differential-Hemivariational Inequalities....Pages 83-94
Nonsmooth and Nonconvex Dynamics: Duality, Polarity and Complementary Extremum Principles....Pages 95-140
The Numerical Realization of the Signorini Problem with a Given Friction Based on the Reciprocal Variational Formulation....Pages 141-171
A Hemivariational Inequality and a Nonconvex Energy Bundle Approach to the Problem of Debonding in Adhesively Bonded Composite Structures....Pages 173-187
Effect of nonlinearity in nonsmooth and nonconvex structural behavior....Pages 189-230
On Some Pseudoelastic Solutions in the Spinoidal Region for the One-Dimensional Martensite Phase Transitions....Pages 231-245
Inverse Coefficient Problem for Elliptic Hemivariational Inequality....Pages 247-261
Location of Solutions to Eigenvalue Problems for Hemivariational Inequalities....Pages 263-275
Non-Smooth Changes in Elastic Material Properties under Finite Deformation....Pages 277-299
Nonlinear Rescaling in Discrete Minimax....Pages 301-331
Hemivariational Inequalities Associated to Multivalued Problems with Strong Resonance....Pages 333-348
Freely Propagating Waves in a Supported Nonlinear Elastic Beam....Pages 349-367
Shape Sensitivities for Optimal Design: A Case Study on the Use of Continuous Sensitivity Equation Methods....Pages 369-389
Optimal Design and Identification Problems in Nonsmooth Mechanics....Pages 391-410
Study of an Adhesively Supported Von Kármán Plate. Existence and Bifurcation of the Solutions....Pages 411-425
Necessary Optimality Conditions with Subdifferentials of Semi-Invex Functions....Pages 427-436
The Chaotic Behavior of a Physically Nonlinear Beam....Pages 437-445
A Duality Principle in Nonholonomic Mechanical Systems....Pages 447-471
Back Matter....Pages 473-475

✦ Subjects

Mathematical Modeling and Industrial Mathematics; Applications of Mathematics; Optimization; Appl.Mathematics/Computational Methods of Engineering