Variational and Hemivariational Inequalities in Mechanics of Elastoplastic, Granular Media, and Quasibrittle Cracks : материалы временных коллективов

Описание

Тип публикации: доклад, тезисы доклада, статья из сборника материалов конференций

Конференция: Conference on Analysis, Modelling, Optimization, and Numerical Techniques; COLOMBIA; COLOMBIA

Год издания: 2015

Идентификатор DOI: 10.1007/978-3-319-12583-1_3

Ключевые слова: (hemi)variational inequality, constrained optimization, granular solid, nonconvex optimization, nonsmooth optimization, plasticity, quasibrittle crack, set-valued optimization

Аннотация: This contribution is devoted to the mathematical theory of elastoplastic and granular solids as well as the quasibrittle fracture of nonlinear cracks. Basic variational and hemivariational inequalities describing nonlinear phenomena due to plasticity, internal friction, interfacial interaction, and alike dissipative physics are outПоказать полностьюlined from the point of view of nonsmooth and nonconvex optimization. Primary results of the nonlinear theory and its application to solid mechanics are surveyed.

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Издание

Журнал: ANALYSIS, MODELLING, OPTIMIZATION, AND NUMERICAL TECHNIQUES

Выпуск журнала: Vol. 121

Номера страниц: 49-56

ISSN журнала: 21941009

Место издания: NEW YORK

Издатель: SPRINGER

Персоны

  • Annin, Boris D. (Novosibirsk State Univ, Russian Acad Sci, Siberian Branch, Lavrentyev Inst Hydrodynam, Novosibirsk 630090, Russia)
  • Kovtunenko Victor A. (Russian Acad Sci, Siberian Branch, Lavrentyev Inst Hydrodynam, Novosibirsk 630090, Russia; Karl Franzens Univ Graz, NAWI Graz, Inst Math & Sci Comp, A-8010 Graz, Austria)
  • Sadovskii Vladimir M. (Russian Acad Sci, Siberian Branch, Inst Computat Modeling, Krasnoyarsk 660036, Russia)