Contact Problem for a Pre-Stressed Annular Stamp and a Half-Space With Initial (Residual) Stresses (The Case of Equal Roots)

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dc.contributor.authorYaretskaya, Nataliya Alexandrovna
dc.date.accessioned2019-10-15T19:40:13Z
dc.date.available2019-10-15T19:40:13Z
dc.date.issued2018
dc.description.abstractThe article is devoted to the study of the contact interaction of a prestressed ring stamp and a half-space (base) with initial (residual) stresses without taking friction forces into account. The problem is solved for the case of equal roots of the resolving equation. The study is presented in a general form for the theory of large initial (finite) deformations and two versions of the theory of small initial deformations in the framework of the linearized theory of elasticity for an arbitrary structure of the elastic potential. There is assumed that the initial states of the elastic ring stamp and the elastic half-space remain homogeneous and equal. The study is carried out in the coordinates of the initial (residual) deformed state, which are interrelated with Lagrange coordinates (natural state). In addition, the influence of the ring stamp causes small perturbations of the basic elastic deformed state. Also, it is assumed that the elastic ring stamp and the elastic half-space are made of different isotropic, transversal-isotropic or composite materials. Numerical analysis is presented by the form of graphs of contact stresses and displacements of a potential of a harmonic type. The influence of the initial (residual) stress on the contact interaction between the elastic ring stamp and the elastic half-space of the potentials of a particular structure is investigated.uk_UA
dc.description.sponsorshipEnPress Publisher LLCuk_UA
dc.identifier.citationYaretskaya N. A. Contact Problem for a Pre-Stressed Annular Stamp and a Half-Space With Initial (Residual) Stresses (The Case of Equal Roots) / Nataliya Alexandrovna Yaretskaya // Region - Research Journal of Mechanical Engineering. – 2018. – Vol. 1. – P. 1–17.uk_UA
dc.identifier.urihttps://elar.khmnu.edu.ua/handle/123456789/7776
dc.language.isoenuk_UA
dc.publisherEnPress Publisher LLCuk_UA
dc.subjectlinearized theory of elasticityuk_UA
dc.subjectcontact interactionuk_UA
dc.subjectring stampuk_UA
dc.subjecthalf-spaceuk_UA
dc.subjectharmonic potentialuk_UA
dc.subjectelastic bodiesuk_UA
dc.subject.udc539.3uk_UA
dc.titleContact Problem for a Pre-Stressed Annular Stamp and a Half-Space With Initial (Residual) Stresses (The Case of Equal Roots)uk_UA
dc.typeСтаттяuk_UA
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