Кл.слова (ненормированные):
(Hemi)variational inequality -- Constrained optimization -- Granular solid -- Nonconvex optimization -- Nonsmooth optimization -- Plasticity -- Quasibrittle crack -- Set-valued optimization -- Cracks -- Elastoplasticity -- Plasticity -- Variational techniques -- Granular solids -- Nonconvex optimization -- Nonsmooth optimization -- Set-valued optimization -- Variational inequalities -- Constrained 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 outlined from the point of view of nonsmooth and nonconvex optimization. Primary results of the nonlinear theory and its application to solid mechanics are surveyed. © Springer International Publishing Switzerland 2015.
Scopus,
WOS,
Смотреть статью
Держатели документа:
Lavrentyev Institute of Hydrodynamics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russian Federation
Institute for Mathematics and Scientific Computing, Karl-Franzens University of Graz, NAWI Graz, Heinrichstr. 36, Graz, Austria
Lavrentyev Institute of Hydrodynamics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk State University, Novosibirsk, Russian Federation
Institute of Computational Modeling, Siberian Branch of the Russian Academy of Sciences, Akademgorodok, Krasnoyarsk, Russian Federation
Доп.точки доступа:
Annin, B. D.; Kovtunenko, V. A.; Sadovskii, V. M.