A double-Westergaard model for adhesive contact of a wavy surface. (15th December 2016)

• Record Type: Journal Article
• Authors: Jin, Fan; Wan, Qiang; Guo, Xu
• Is Part Of: International journal of solids and structures. Volume 102/103(2016)
• Page Start: 66
• Page End: 76
• Publication Date: 2016-12-15
• Subjects: Contact mechanics -- Adhesion -- Wavy surface -- Double-Hertz model -- Adhesion hysteresis; Mechanics, Applied -- Periodicals; Structural analysis (Engineering) -- Periodicals; Elastic solids -- Periodicals; Mécanique appliquée -- Périodiques; Constructions, Théorie des -- Périodiques; Solides élastiques -- Périodiques; Elastic solids; Mechanics, Applied; Structural analysis (Engineering); Periodicals; 624.18
• DOI: 10.1016/j.ijsolstr.2016.10.016
• Languages: English
• ISSNs: 0020-7683

Abstract

Abstract: This paper extends the double-Hertz model of Greenwood and Johnson (1998) to the plane strain problem of adhesive contact between a wavy surface and a flat surface, named as the double-Westergaard model. The adhesive force within the cohesive zone near contact edge is described by the difference between two Westergaard pressure distribution functions with different contact widths. Closed-form analytical solutions are obtained for different equilibrium states during loading and unloading stages. The proposed model captures a transition between Westergaard and JKR contact models through a dimensionless transition parameter. Depending on two dimensionless parameters, transitions between partial and full contact during loading/unloading are characterized by one or more jump instabilities. Decreasing waviness size by decreasing both the amplitude and period with a fixed curvature is found to enhance adhesion both by increasing the magnitude of the pull-off force and by inducing more energy loss through adhesion hysteresis.