We model the interaction of elastic half spaces in the presence of bridges formed by incompressible liquid on the edges of an intercontact gap in the form is a groove made on the surface of one of the bodies and gas pressure in the middle part of the gap. The solution of the problem is presented via the function of gap height. To determine this function, we deduce a singular integral equation and solve it analytically. The conditions of boundedness of the solution of the singular integral equation and constancy of the amount of liquid in the gap are used to deduce a system of transcendental equations for the lengths of the gap and liquid bridges. The dependences of the height of the meniscus and the lengths of the gap and the regions filled with gas and liquid on the applied load are constructed for relatively soft materials of the contact couple. It is shown that, unlike relatively rigid materials, the contact behavior of the couple is ambiguous: parallel with the state of contact equilibrium typical of rigid materials, there exists another equilibrium state with smaller height of the interface gap.
Soft Material Singular Integral Equation Liquid Bridge Incompressible Liquid Contact Behavior
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, log in to check access.
I. G. Goryacheva and Yu. Yu. Makhovskaya, “Adhesion interaction of elastic bodies,” Prikl. Mat. Mekh., 65, No. 2, 279–289 (2001).zbMATHGoogle Scholar
Y. Rabinovich, M. Esayanur, and B. Moudgil, “Capillary forces between two spheres with a fixed volume liquid bridge: theory and experiment,” Langmuir, 21, 10,992–10,997 (2005).CrossRefGoogle Scholar
Jie Zheng and J. L. Streutor, “A liquid bridge between two elastic half-spaces: A theoretical study of interface instability,” Tribol. Lett., 16, Nos. 1–2, 1–9 (2004).CrossRefGoogle Scholar
T. Kato, S. Watanabe, and H. Matsuoka, “Dynamic characteristics of an in-contact head slider considering meniscus force: Part 2. Application to the disk with random undulation and design conditions,” Trans. ASME: J. Tribol., 123, 168–174 (2001).CrossRefGoogle Scholar
Z. Dai, Yu Min, and S. Gorb, “Frictional characteristics of the beetle head-joint material,” Wear, 260, 168–174 (2006).CrossRefGoogle Scholar
L. Zitzler, S. Herminghaus, and F. Mugele, “Capillary forces in tapping mode atomic force microscopy,” Phys. Rev. B, 66, 155436 (2002).CrossRefADSGoogle Scholar
F. Soulie, F. Cherblanc, M. El Youssoufi, and C. Saix, “Influence of liquid bridges on the mechanical behavior of polydisperse granular materials,” Int. J. Numer. Anal. Meth. Geomech., 30, 123–228 (2006).CrossRefGoogle Scholar
W. Peng and B. Bhushan, “Sliding contact analysis of layered elastic/plastic solids with rough surfaces,” Trans. ASME: J. Tribol., 124, 46–61 (2002).CrossRefGoogle Scholar
R. M. Martynyak, “Contact of a half space with an uneven base containing an intercontact gap filled with ideal gas,” Mat. Met. Fiz.-Mekh. Polya, 41, No. 4, 144–149 (1998).zbMATHGoogle Scholar
G. S. Kit, R. M. Martynyak, and I. M. Machishin, “Influence of the gas-liquid filler of the intercontact zone on the stressed state of coupled bodies,” Prikl. Mekh., 39, No. 3, 52–60 (2003).zbMATHGoogle Scholar
R. M. Martynyak, “Contact interaction of two half spaces in the presence of a surface groove partially filled with incompressible liquid,” Fiz.-Khim. Mekh. Mater., 26, No. 2, 91–94 (1990).Google Scholar
R. M. Martynyak, Thermoelastic Interaction of the Bodies in the Case of Imperfect Thermal and Mechanical Contact [in Russian], Candidate-Degree Thesis (Physics and Mathematics), Lviv (1987).Google Scholar
R. M. Martynyak and B. S. Slobodyan, “Interaction of two bodies in the presence of capillaries in the intercontact gap,” Mat. Met. Fiz.-Mekh. Polya, 49, No. 1, 164–173 (2006).zbMATHGoogle Scholar
S. A. Artsybashev, A Course of Physics. Part 1: Mechanics and Heat [in Russian], Ministry of Education of the Ross. SFSR, Moscow (1951).Google Scholar