The problem of contact interaction between a punch with rectilinear base and an elastic wedge with one fixed face is studied with regard for the friction in the contact zone. By using the Wiener–Hopf method, we obtain the analytic solution of the problem. The results of evaluation of the contact stresses and displacements of points of the free face of the wedge are presented.
Similar content being viewed by others
References
V. M. Aleksandrov, “On a contact problem for an elastic wedge,” Izv. Akad. Nauk Arm. SSR. Mekh., 20, No. 1, 3–13 (1967).
V. M. Aleksandrov, “Contact problems for elastic wedges,” Izv. Akad. Nauk SSSR. Mekh. Tverd. Tela, No. 2, 120–131 (1967).
V. M. Aleksandrov, “On contact problems for an elastic wedge with one fixed face,” Izv. Akad. Nauk Arm. SSR. Mekh., 21, No. 2, 17–27 (1968).
V. M. Aleksandrov, “Contact problems for elastic plane wedges,” in: Contact Problems and Their Engineering Applications [in Russian], NIIMASH, Moscow (1969).
V. M. Aleksandrov and V. V. Kopasenko, “Contact problem for an elastic wedge with rigidly fixed face,” Prikl. Mekh., 4, Issue 7, 75–82 (1968).
M. I. Bronshtein, “Solution of the contact problem for a punch on the wedgelike base,” Osnov. Fundam. Mekh. Grunt., Issue 4, 2–4 (1968).
S. A. Lutchenko, “Indentation of punches into the lateral surface of an elastic base in the form of a wedge,” Prikl. Mekh., 2, Issue 12, 61–66 (1966).
S. A. Lutchenko and G. Ya. Popov, “On some plane contact problems of the theory of elasticity for wedges,” Prikl. Mekh., 6, Issue 3, 64–71 (1970).
V. S. Tonoyan, “On one plane contact problem for the elastic quadrant,” Dokl. Akad. Nauk Arm. SSR, 37, No. 3, 121–130 (1963).
V. S. Tonoyan, “Plane contact problem for the elastic quadrant with fixed vertical edge,” Dokl. Akad. Nauk Arm. SSR, 37, No. 5, 249–258 (1963).
Yu. A. Antipov, “Exact solution of the problem of indentation of a circular punch into the half space,” Dokl. Akad. Nauk Ukr. SSR, No. 7, 29–33 (1987).
B. Noble, Methods Based on the Wiener–Hopf Technique, Chelsea, New York (1988).
V. I. Ostrik and A. F. Ulitko, Wiener–Hopf Method in Contact Problems of the Theory of Elasticity [in Russian], Naukova Dumka, Kiev (2006).
G. M. Zrazhevs’kyi and V. I. Ostryk, “Asymptotics of canonical products,” Mat. Met. Fiz.-Mekh. Polya, 47, No. 3, 69–77 (2004).
M. V. Fedoryuk, Asymptotics: Integrals and Series [in Russian], Nauka, Moscow (1987).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Fizyko-Khimichna Mekhanika Materialiv, Vol. 47, No. 4, pp. 82–91, July–August, 2011.
Rights and permissions
About this article
Cite this article
Ostryk, V.I., Shchokotova, O.M. Sliding contact of a punch with elastic wedge. Mater Sci 47, 514–526 (2012). https://doi.org/10.1007/s11003-012-9423-z
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11003-012-9423-z