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Stress and strain fields near cracks in solids with stress state-dependent elastic properties under conditions of anti-plane shearстатья
- Авторы: Lomakin Evgeny, Korolkova Olesia
- Журнал: Acta Mechanica
- Год издания: 2024
- Издательство: Springer Verlag
- Местоположение издательства: Germany
- DOI: 10.1007/s00707-024-04034-6
- Аннотация: The asymptotic solution of crack problem for the solids with deformation properties dependent on the type of stress state obtained for the conditions of longitudinal shear. For the solution of boundary value problems, the corresponding constitutive relations are used simulating the dependence of the effective deformation properties of the materials on the stress state type and describing the relationship between the shear strains and volume deformation. It is shown that the hypothesis of antiplane strain cannot be used for the solution of boundary value problems under longitudinal shear conditions. The general representation of the displacement field for the conditions of longitudinal shear is proposed. Despite the non-linearity of constitutive equations, the analytical representations for the displacements can be obtained and the singular fields of stresses and strains can be studied.
- Добавил в систему: Ломакин Евгений Викторович