Nonsmooth Nonconvex Mechanics

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Nonsmooth Nonconvex Mechanics

Author : David Yang Gao
ISBN : 9781461302759
Genre : Mathematics
File Size : 76.87 MB
Format : PDF
Download : 803
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Nonsmooth and nonconvex 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, require the consideration of nonsmoothness and nonconvexity. The mathematical topics discussed in this book include variational and hemivariational inequalities, duality, complementarity, variational principles, sensitivity analysis, eigenvalue and resonance problems, and minimax problems. Applications are considered in the following areas among others: nonsmooth statics and dynamics, stability of quasi- static evolution processes, friction problems, adhesive contact and debonding, inverse problems, pseudoelastic modeling of phase transitions, chaotic behavior 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 nonconvex mechanics. Audience: Faculty, graduate students, and researchers in applied mathematics, optimization, control and engineering.
Category: Mathematics
Nonsmooth/Nonconvex Mechanics
Language: en
Pages: 476
Authors: David Yang Gao, Raymond W. Ogden, Georgios E. Stavroulakis
Categories: Mathematics
Type: BOOK - Published: 2013-12-01 - Publisher: Springer Science & Business Media

Nonsmooth and nonconvex 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, require the consideration of nonsmoothness and nonconvexity.
Nonsmooth Mechanics and Analysis
Language: en
Pages: 320
Authors: Pierre Alart, Olivier Maisonneuve, R. Tyrrell Rockafellar
Categories: Technology & Engineering
Type: BOOK - Published: 2006-06-26 - Publisher: Springer Science & Business Media

This book’s title, Nonsmooth Mechanics and Analysis, refers to a major domain of mechanics, particularly those initiated by the works of Jean Jacques Moreau. Nonsmooth mechanics concerns mechanical situations with possible nondifferentiable relationships, eventually discontinuous, as unilateral contact, dry friction, collisions, plasticity, damage, and phase transition. The basis of the
Nonsmooth/nonconvex mechanics with applications in engineering : ; a volume dedicated to the memory of Prof. P. D. Panagiotopoulos ; [proceedings of the international conference, 5-6 July 2002, Thessaloniki, Greece]
Language: en
Pages: 482
Authors: P. D. Panagiotopoulos
Categories: Mechanics, Analytic
Type: BOOK - Published: 2002 - Publisher:

Books about Nonsmooth/nonconvex mechanics with applications in engineering : ; a volume dedicated to the memory of Prof. P. D. Panagiotopoulos ; [proceedings of the international conference, 5-6 July 2002, Thessaloniki, Greece]
Advances in Applied Mathematics and Global Optimization
Language: en
Pages: 520
Authors: David Y. Gao, Hanif D. Sherali
Categories: Mathematics
Type: BOOK - Published: 2009-04-09 - Publisher: Springer Science & Business Media

The articles that comprise this distinguished annual volume for the Advances in Mechanics and Mathematics series have been written in honor of Gilbert Strang, a world renowned mathematician and exceptional person. Written by leading experts in complementarity, duality, global optimization, and quantum computations, this collection reveals the beauty of these
Boundary Element Advances in Solid Mechanics
Language: en
Pages: 320
Authors: D. E. Beskos, Dimitri Beskos, Giulio Maier
Categories: Technology & Engineering
Type: BOOK - Published: 2003-06-12 - Publisher: Springer Science & Business Media

This volume presents and discusses recent advances in Boundary Element Methods (BEM) and their solid mechanics applications in those areas where these numerical methods prove to be the ideal solution tool. The aim is to illustrate these methods in their most recent forms developed during the last five to ten