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Restrictions on the stress components in the edge points of the homogeneous elastic body

The concept of a deformable body point is taken in the form of a continuum point and an elementary volume connected with it. The continuum point determines the spatial position of the deformable body point, and the elementary volume is the carrier of its material properties and stress-strain state characteristics. | Restrictions on the stress components in the edge points of the homogeneous elastic body Engineering Solid Mechanics 7 2019 229-246 Contents lists available at GrowingScience Engineering Solid Mechanics homepage www.GrowingScience.com esm Restrictions on the stress components in the edge points of the homogeneous elastic body V. Pestrenina I. Pestreninaa and L. Landika a Perm State National Research University Perm Russia A R T I C L EI N F O ABSTRACT Article history The concept of a deformable body point is taken in the form of a continuum point and an Received 26 December 2018 elementary volume connected with it. The continuum point determines the spatial position of the Accepted 18 April 2019 deformable body point and the elementary volume is the carrier of its material properties and Available online stress-strain state characteristics. Based on this representation restrictions on the state parameters 18 April 2019 Keywords at the edge points singular points of an isotropic body are constructed. These restrictions become Singular points preset conditions in singular points. The study covers possible interactions of the edge-forming 3D edge surfaces with the external environment. It is shown that the restrictions formed at the edge points Singularity are usually more numerous than the restrictions at the regular point on the surface of a deformable Stress concentration body. This circumstance leads to a non-classical formulation of the mechanics problem for bodies Elementary volume with singular points. The combinations of geometric and material parameters of a structural Non-classical problems component are discovered that determine the singular stresses behavior in elementary volumes with edge points. The load restrictions ensuring the compatibility of parameters defined at singular points are formulated. The attained results will apply to studying stress concentration in the vicinity of 3D-edges of structural components. 2019 Growing Science Ltd. All rights