A two-dimensional double-hertz model for adhesive contact between elastic cylinders

Abstract eng:
This report provides a cohesive zone model for two-dimensional (2D) adhesive cylindrical contact by extending the classical double- Hertz model of elastic spheres [1]. This is achieved by describing the adhesive force in terms of the difference between two Hertzian pressures corresponding to different contact widths. Closed-fonn analytical solutions are obtained for the interfacial traction, deformation field and the equilibrium relation among applied load, contact half-width and the size of cohesive zone. Based on these results, a complete transition between the J KR and the Hertz type contact models is captured by defining a dimensionless transition parameter, which governs the range of applicability of different models. J KR and Hertz type solutions are included as two limiting cases of the present model. The present model can serve as an alternative cohesive zone solution to the 2D Maugis-Dugdale solution [2143].

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