Abstract
We consider the problem of contact of two elastic wedges and assume that only the vertices of the wedges touch before loading. After loading, the edges of both wedges come in contact near their common vertex. We reduce the constructed system of dual integral equations to a Fredholm integral equation of the second kind with difference kernel given on the semiaxis. We analytically solve the Fredholm equation by reducing it to the boundary-value Riemann problem for analytic functions. We obtain an analytic expression for contact stresses.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
REFERENCES
F. D. Gakhov, Boundary-Value Problems [in Russian], Fizmatgiz, Moscow (1963).
M. A. Evgrafov, Asymptotic Estimates and Entire Functions [in Russian], Nauka, Moscow (1979).
K. I. Ivchenko, N. E. Kachalovs'ka, and A. F. Ulitko, "Smooth contact of a rigid wedge with lips of a wedge-like notch in the elastic plane," Dop.Nats. Akad. Nauk Ukrainy, No. 12, 23-29 (1991).
N. N. Lebedev and I.</del> P. Skal'skaya, "Distribution of electricity on a thin finite cone," Zh. Vych. Mat. Mat. Fiz., 9, No. 9, 1336-1346 (1969).
A. F. Ulitko and N. E. Kachalovskaya, "Contact interaction of rigid and elastic wedges in the case of the initial point touching at their common vertex," Dop. Nats. Akad. Nauk Ukrainy, No. 1, 51-54 (1995).
Ya. S. Uflyand, Integral Transformations in Problems of Elasticity Theory [in Russian], Nauka, Leningrad (1967).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Ostrik, V.I., Ulitko, A.F. Contact Interaction of Two Elastic Wedges. Journal of Mathematical Sciences 109, 1235–1242 (2002). https://doi.org/10.1023/A:1013748828481
Issue Date:
DOI: https://doi.org/10.1023/A:1013748828481