The adhesive contact between a steel spherical indenter and a layer of transparent soft rubber fixed on a glass substrate is experimentally investigated. Obtained experimental results are compared with theory and numerical simulation, which demonstrates satisfactory agreement between these three approaches. The influence of the indenter time in the contact and the indentation depth on the value of the adhesive strength of the contact is studied. The features of experiments conducted under conditions of controlled displacement (fixed grips) and controlled force (fixed load) are discussed.
Рассмотрена задача нормального столкновения сферической частицы с полупространством. Проведен учет нелокальной пластической деформации, в случае, когда предел прочности зависит от радиуса контакта, а также эффекта упрочнения деформируемого материала. Численно рассчитана величина безразмерного коэффициента восстановления нормальной скорости, как функция начальной скорости сферической частицы. Полученные данные хорошо совпадают с имеющимися в литературе экспериментальными результатами. Работа выполнена при финансовой поддержке Немецкого научно-исследовательского сообщества (DFG), Министерства образования Российской Федерации и программы повышения конкурентоспособности Томского государственного университета. Я.А. Ляшенко выражает благодарность МОНУ за частичную финансовую поддержку в рамках проекта № 0116U006818.
Contact problem of cylindrical indenter and graded media with account of adhesion forces between two contacted bodies is considered. Analytical solution of the problem for the case of graded media with power-law dependence of elastic modulus on normal coordinate have been found. The case of uncompressible media with Poisson ratio 1/2 was considered in details. It is shown, that in this case the behavior of system can be qualitatively different from the case of homogeneous media. Influence of roughness of the surface is considered. Surface roughness is presented as axially symmetric “waviness”. The contact of parabolic indenter and a gradient media was considered. Differences from the case of a cylinder is shown.
A model of hysteresis in an adhesive contact under oscillating loading is proposed, based on the chemical inhomogeneity of the indenter surface. Results of numerical simulation are compared with experimental data obtained with a setup allowing direct observation of the dynamics of contact area. It is shown that the hysteresis almost disappears if the amplitude of the oscillating load is smaller than a critical value depending on the maximum indentation depth.
A phenomenological model is proposed that describes hysteretic behavior of an adhesive contact between a soft elastomer and a rigid indenter when the direction of the indenter shear is changed. The model takes into account the increase of contact strength with contact time. The dependences of the elastic force and contact radius on the indentation depth were obtained. It is shown that the adhesive strength of the contact increases with an increase in the indentation depth. An experiment on the indentation of a steel spherical indenter into a rubber sheet of a fixed thickness was carried out. A qualitative agreement between the experimental and theoretical results is shown.
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