Geodesic
Internal Stresses in an Elastic Half-space under Discrete Contact Conditions
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Modern Methods of Mechanics, Tome 322 (2023), pp. 94-110

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We study the contact interaction of a periodic system of axisymmetric rigid indenters with two height levels with an elastic half-space in the absence of friction forces. To construct a solution of the problem, we use the localization method. We obtain analytical expressions for the characteristics of the contact interaction (the radius of contact spots and the distribution of contact pressure) as well as for the components of the internal stress tensor on the symmetry axes of indenters of both levels. We analyze the effect of the shape of the contact surface of indenters, which is described by a power function (with arbitrary integer exponent), and the spatial arrangement of indenters on the contact characteristics and the stressed state of the elastic half-space.
Keywords: periodic contact, elastic half-space, two-level system of indenters, internal stresses, indenter shape. 
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     author = {I. G. Goryacheva and A. A. Yakovenko},
     title = {Internal {Stresses} in an {Elastic} {Half-space} under {Discrete} {Contact} {Conditions}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {94--110},
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     year = {2023},
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I. G. Goryacheva; A. A. Yakovenko. Internal Stresses in an Elastic Half-space under Discrete Contact Conditions. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Modern Methods of Mechanics, Tome 322 (2023), pp. 94-110. http://geodesic.mathdoc.fr/item/TM_2023_322_a7/