Titlebook: Nonsmooth/Nonconvex Mechanics; Modeling, Analysis a David Y. Gao,Ray W. Ogden,Georgios E. Stavroulakis Book 20011st edition Kluwer Academic

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Non-Smooth Changes in Elastic Material Properties under Finite Deformation,al properties due to damage to be modelled from the phenomenological point of view. In general, the material properties may change either continuously or discontinuously as the deformation proceeds, but in this paper we focus on discontinuous changes. Such a change takes place at a critical value of

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Nonlinear Rescaling in Discrete Minimax,ng technique consists of using the Lagrange multipliers as the main driving force to improve the convergence rate and the numerical stability..In contrast to the smoothing technique the NR methods converge to the primal-dual solution under a fixed scaling parameter..It allows to avoid the ill-condit

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Freely Propagating Waves in a Supported Nonlinear Elastic Beam,bject to a gravitational force and a compressive longitudinal load. We consider both the case wherein the potential energy of the system is quadratic, so that the equations of motion are linear in regions where the support constraint is inactive, and some quasilinear extensions of that model. In the

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Optimal Design and Identification Problems in Nonsmooth Mechanics,in the framework of nonsmooth mechanics involve nondifferentiable relations. These state problems are, for example, variational or hemivariational inequalities. In certain cases one is able to formulate equivalent minimization or critical point problems for appropriately defined nonsmooth and in gen

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,Study of an Adhesively Supported Von Kármán Plate. Existence and Bifurcation of the Solutions,ontact law between the plate and the rigid support is a nonmonotone, possibly multivalued law and leads the variational formulation of the problem to a hemivariational inequality. For the corresponding eigenvalue problem that is finally formulated, the pair(s) of eigenfunctions and eigenvalues are p

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David Y. Gao,Ray W. Ogden,Georgios E. Stavroulakis

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Giles Auchmutyes vague) requests for reference materials and produced neat and timely drafts from very trying scratchpaper. Appropriate parts of my correspondence and some copies of documents will be placed in a Cowles Commission archive at the Cowles Foundation, Vale University.978-3-540-16774-7978-3-642-61644-0Series ISSN 0075-8442 Series E-ISSN 2196-9957

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