A Model of Contact of Elastic Bodies With Account for Their Adhesion

Index, Volume 9, 2018

“…The idea of nonlocal interaction typical of the solid-state physics, has found its use, for example, in Hamaker's theory of adhesive interaction of solids (Hamaker, 1937), in the method of molecular dynamics, and the method of particles (Hockney and Eastwood, 1981;Krivtsov, 2001). In constructing the model, the methods of statistical mechanics (Gibbs, 1982;Kubo, 1965;Ruelle, 1999) and the results of Shorkin (2011), Romashin et al (2016), Frolenkova and Shorkin (2013), and Dolgov et al (2015) were used.…”

“…It is assumed that the interaction of particles dB (α) and dB (β) belonging to bodies B (α) and B (β) made of different materials is identical to the interaction of the same particles when they form the particle dB (ss) of the two-component solid solution B (ss) of these materials with the corresponding volume concentrations c (α) and c (β) (c (α) + c (β) = 1) (Dolgov et al, 2015).…”

“…Therefore, the replacement of a spherical surface in an elementary section by a plane, perpendicular to Oz does not influence the result of calculations. The basis is the solution of the problem of the interaction of two semi-infinite bodies (Dolgov et al, 2015).…”

Strength Analysis of a Two‐Layer PETF‐Concrete Column with Allowance for Contact Interaction between Layers

“…When setting contact problems, researchers pay considerable attention to modeling the strength, stiffness, and stability of shell and plate structures [31,32], especially of asymmetrical and complex shapes [33], as well as in the presence of stress concentrators [34][35][36]. In particular, the effects of stress concentration in inhomogeneous solids near cavities and vicarious particulates have been studied in works [37][38][39].…”

Теоретическое Построение И Расчетно-Экспериментальное Подтверждение Условия Выбора Материала Антидиффузионного Слоя Терможаростойкого Биметаллического Провода

“…7. Взаимодействие частиц, принадлежащих двум телам из разных материалов, идентично взаимодействию тех же частиц в случае, когда они образуют частицу dB двухкомпонентного твердого раствора этих материалов [23] с объемными концентрациями компонент и соответственно. Модули Юнга E и сдвига G , твердого раствора выражаются через модули его составляющих в соответствии с моделью Рейса -равенства нормальных и касательных напряжений в частицах dB (n) и dB (p) , составляющих частицу dB .…”