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.
Журнал: ANALYSIS, MODELLING, OPTIMIZATION, AND NUMERICAL TECHNIQUES
Выпуск журнала: Vol. 121
Номера страниц: 49-56
ISSN журнала: 21941009
Место издания: NEW YORK
Издатель: SPRINGER