The elastic field near a point of a transition from frictional contact to frictionless contact
Tóm tắt
The asymptotic nature of the elastic field is studied at the point of transition from frictional contact to frictionless contact between two different elastic bodies. The nature depends on the direction of slip, and the singular stress field appears when the body with smaller μ/(κ−1) (μ: the shear modulus, κ=3−4ν, ν: Poisson's ratio) slips towards the region of frictional contact, while no singularities appear when the direction of slip is opposite. The order of the singularity is smaller than 1/2 regardless of the level of friction.
Tài liệu tham khảo
J. Dundurs and M.S. Lee, Stress concentration at a sharp edge in contact problems. J. Elasticity 2 (1972) 109–112.
E.E. Gdoutos and P.S. Gdoutos Theocaris, Stress concentrations at the apex of a plane indenter acting on an elastic half plane. J. Appl. Mech. 42 (1975) 688–692.
M. Comninou, Stress singularity at a sharp edge in contact problems with friction. Z. angew. Math. Phys. 27 (1976) 493–499.
J. Dundurs and M. Comninou, Some consequences of the inequality conditions in contact and crack problems. J. Elasticity 9 (1979) 71–82.
M.L. Williams, Stress singularities resulting from various boundary conditions in angular corners of plates in extension. J. Appl. Mech. 19 (1952) 526–528.
M.L. Williams, The complex variable approach to stress singularities. J. Appl. Mech. 23 (1956) 477–478.
M.L. Williams, The stress around a fault or crack in dissimilar media. Bull. Seism. Soc. Am. 49 (1959) 199–204.
M. Comninou, The interface crack. J. Appl. Mech. 44 (1977) 631–636.
N.I. Muskhelishvili, Some basic problems of the mathematical theory of elasticity. Noordhoff (1963).