Exact analysis of the orientation-adjusted adhesive full stick contact of layered structures with the asymmetric bipolar coordinates

• Published in: Applied mathematics and mechanics Vol. 43; no. 6; pp. 883 - 898
• Main Authors: Guo, Pengxu, Zhou, Yueting
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.06.2022; Springer Nature B.V; School of Aerospace Engineering and Applied Mechanics,Tongji University,Shanghai 200092,China
• Edition: English ed.
• Subjects: Applications of Mathematics; Asymmetry; Classical Mechanics; Coefficient of friction; Contact angle; Contact stresses; Elastic half spaces; Exact solutions; Fluid- and Aerodynamics; Frictionless contact; Integral transforms; Mathematical Modeling and Industrial Mathematics; Mathematics; Mathematics and Statistics; Partial Differential Equations; Reliability aspects; Service life; Johnson-Kendall-Roberts (JKR) model; exact solution; 74B05; contact mechanics; adhesion; Fourier integral transform; 74M15; 42A38; O343.3; friction; Johnson-Kendall-Roberts(JKR)model
• ISSN: 0253-4827; 1573-2754
• DOI: 10.1007/s10483-022-2860-9

The adhesion failure has become one dominant factor in determining the reliability and service life of miniaturized devices subject to loadings with arbitrary orientations. This article establishes an adhesive full stick contact model between an elastic half-space and a rigid cylinder loaded in any direction. Using the Papkovich-Neuber functions, the Fourier integral transform, and the asymmetric bipolar coordinates, the exact solution is obtained. Unlike the Johnson-Kendall-Roberts (JKR) model, the present adhesive contact model takes into account the effects of the load direction as well as the coupling of the normal and tangential contact stresses. Besides, it considers the full stick contact which has large values of the friction coefficient between contacting surfaces, contrary to the frictionless contact supposed in the JKR model. The result shows that suitable angles can be found, which makes the contact surfaces difficult to be peeled off or easy to be pressed into.