응착 완전 접촉 문제에서 접촉면 미끄럼 현상에 관한 고찰
On the Slipping Phenomenon in Adhesive Complete Contact Problem
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This paper is within the framework of an adhered complete contact problem wherein the contact between a half plane and sharp edged indenter, both of which are elastic in character, is constituted. The eigensolutions of the contact shear and normal stresses, σrq and σq, respectively, are evaluated via asymptotic analysis. The ratio of σrq/σqq is investigated and compared with the coefficient of friction, μ, of the contact surface to observe the propensity to slip on the contact surface. Interestingly, there exists a region of |σrθ/σθθ| ≥ |μ|. Thus, slipping can occur, although the problem is solved under the condition of an adhered contact without slipping. Given that a tribological failure potentially occurs at the slipping region, it is important to determine the size of the slipping region. This aspect is also factored in the paper. A simple example of the adhered contact between two elastically dissimilar squares is considered. Finite element analysis is used to evaluate generalized stress intensity factors. Furthermore, it is repeatedly observed that slipping occurs on the contact surface although the size of it is extremely small compared with that of the contacting squares. Therefore, as a contribution to the field of contact mechanics, this problem must be further explained logically.
Abstract
This paper is within the framework of an adhered complete contact problem wherein the contact between a half plane and sharp edged indenter, both of which are elastic in character, is constituted. The eigensolutions of the contact shear and normal stresses, σrq and σq, respectively, are evaluated via asymptotic analysis. The ratio of σrq/σqq is investigated and compared with the coefficient of friction, μ, of the contact surface to observe the propensity to slip on the contact surface. Interestingly, there exists a region of |σrθ/σθθ| ≥ |μ|. Thus, slipping can occur, although the problem is solved under the condition of an adhered contact without slipping. Given that a tribological failure potentially occurs at the slipping region, it is important to determine the size of the slipping region. This aspect is also factored in the paper. A simple example of the adhered contact between two elastically dissimilar squares is considered. Finite element analysis is used to evaluate generalized stress intensity factors. Furthermore, it is repeatedly observed that slipping occurs on the contact surface although the size of it is extremely small compared with that of the contacting squares. Therefore, as a contribution to the field of contact mechanics, this problem must be further explained logically.
참고문헌 (7)
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- 김형규, "세 물체 간 마찰 완전 접촉 문제의 응력 특이성 거동", 한국트라이볼로지학회지, 35(4), pp.229~236 (2019), 한국트라이볼로지학회[DOI]
- Barber, J., "Contact Mechanics", pp.214~216 (2018), Springer
- Jae-Won Jang, "Numerical and experimental investigation of a complete contact problem by comparing with an asymptotic analysis", International Journal of Solids and Structures, 82, pp.39~46 (2016), Elsevier BV[DOI]
- Kim, H.-K., "Asymptotic Analysis of an Adhered Complete Contact between Elastically Dissimilar Materials", J. StrainAnaly (2014)
- Dundurs, J., "Discussion on edge bonded dissimilar orthogonal elastic wedges under normal and shear loading", J. Appl. Mech, 36, pp.650~652 (1969)