Titlebook: Quasidifferentiability and Nonsmooth Modelling in Mechanics, Engineering and Economics; Vladimir F. Dem’yanov,Georgios E. Stavroulakis,Pan

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Nonsmooth Optimization Algorithms, is replaced by the setvalued quasidifferential or the codifferential. Then the steepest descent finding subproblems are appropriately replaced by quadratic programming subproblems with a polyhedral approximation of the aforementioned set—valued quantities. Since supergradients (resp. hyperdifferent

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Nonsmooth Computational Mechanics,optimization algorithms, discussed thoroughly in Chapter 6, and on some cases of them (e.g. the d.c. optimization techniques). A review of classical computational mechanics algorithms and the link with the here proposed methods are also given. The techniques are illustrated by means of numerical exa

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Nonsmooth Mechanics II,nergy are extended to analogous inf—stationarity propositions. For more details the reader is referred to [31], [33], [34], [35], [36], [41] [37], [38], [42], [44], [28], [26], [27], [23], [25], [2], [47], [48], [49], [16], [17], [9], [1], [46].

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Additional Topics,ms, of rigid viscoplastic flow problems in cylindrical pipes with adhesion or nonmonotone friction and of time—dependent problems with .—superpotentials in von Kármán plates and in thermoelasticity are treated.

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1571-568X n mathematics and permit the rationalunderstanding of yet unsolved or partially solved questions inmechanics, engineering and economics. .This is the first book to provide a complete and rigorous presentationof the quasidifferentiability approach to nonconvex, possiblynonsmooth, energy functions, of