Математичне моделювання контактної взаємодії двох пружних трансверсально-ізотропних півпросторів, один з яких містить приповерхневу виїмку еліптичного перерізу

On the basis of a mathematical model, the problem of compression of two elastic transversely isotropic half-spaces, one of which contains a shallow near-surface groove of an elliptical section, is considered. The solution to the problem is obtained using the Elliott representation for a transversely...

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Збережено в:
Бібліографічні деталі
Дата:2022
Автори: Kirilyuk, Vitaly, Levchuk, Olga, Gavrilenko, Valeriy
Формат: Стаття
Мова:Ukrainian
Опубліковано: The National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute" 2022
Теми:
Онлайн доступ:http://journal.iasa.kpi.ua/article/view/259272
Теги: Додати тег
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Назва журналу:System research and information technologies

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System research and information technologies
Опис
Резюме:On the basis of a mathematical model, the problem of compression of two elastic transversely isotropic half-spaces, one of which contains a shallow near-surface groove of an elliptical section, is considered. The solution to the problem is obtained using the Elliott representation for a transversely isotropic body in terms of harmonic functions, classical harmonic potentials and reducing the boundary value problem to considering an integro-differential equation with an unknown domain of integration. As a special case, the obtained analytical expressions yield the basic parameters of the contact of transversely isotropic half-spaces in the presence of an axisymmetric groove in one of them, as well as the parameters of the contact interaction of two elastic isotropic half-spaces, one of which contains an elliptical cross-section groove. Numerical results are obtained, the influence of elastic properties of half-spaces, geometrical parameters of groove and loading on contact interaction and closing of the gap between bodies is studied.