Discontinuous mappings and the limit load in boundary value problems of nonlinear elasticity
نویسندگان
چکیده
The article discusses a boundary value problem of nonlinear elasticity for mapping (deformation) in two weak formulations: the form variational equilibrium equation and minimization multidimensional integral functional. Some questions mathematical correctness BVP are discussed. Using methods calculus variations, by example simple problems, it is proved that some elastic models corresponding problems there can be mappings have discontinuities slip type, as well limit load - such finite external forces, above which has no solution at all.
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ژورنال
عنوان ژورنال: ??????? ?????-?????????????? ????????????
سال: 2023
ISSN: ['1811-9905', '2542-2251']
DOI: https://doi.org/10.21638/spbu01.2023.108