Abstract
The problems of elastic sinking of materials and elastic restoration of an imprint under loading of an elastic-plastic half-space with an axisymmetric load of the form,P(r)=P0(1-r2/a2)β where 0<β<0.5 are considered. Expressions are obtained that describing the stress-strain state of an elastoplastic half-space. The conditions of the onset of plastic deformation in the near-surface layer and on the half-space of surface are considered depending on the parameter β.
Highlights
Many models of rough surfaces are represented by asperities in the form of a set of spherical segments with the same radii [1, 2, 3, etc.]
Expressions are obtained that are of practical interest in determining the stress-strain state when loading an elastoplastic half-space with an axisymmetric load of the form p r p0 1 r 2 a2, where 0 0.5
The maximum equivalent stresses are achieved in the surface layer on the axis of symmetry
Summary
Many models of rough surfaces are represented by asperities in the form of a set of spherical segments with the same radii [1, 2, 3, etc.]. Expressions are obtained that describing the stress-strain state of an elastoplastic half-space. In view of considerable practical interest, the goal of this research is to determine the stressstrain state of a half-space under the action of a load described by expression (2) at 0 0.5 .
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