Contact Problems for Solids Containing Cavitiesby Kamal K. Bandyopadhyay, Adjunct Lect.; Civ. Engrg., City College of City Univ., Dept. of Civ. Engrg., New York, N.Y.,
Mumtaz K. Kassir, (M.ASCE), Prof. of Civ. Engrg.; City College of City Univ., Dept. of Civ. Engrg., New York, N.Y.,
Serial Information: Journal of the Engineering Mechanics Division, 1978, Vol. 104, Issue 6, Pg. 1389-1402
Document Type: Journal Paper
Abstract: An integral transform solution is presented to treat the non-axisymmetric indentation problem of a punch in contact with a semi-infinite solid containing a stress-free cylindrical cavity. The analysis leads to Fredholm integral equations of the second kind. For the illustrative example of a flat-ended punch, the integral equation is solved and numerical results of the contact stress, the shape of the deformed boundary of the solid, and the radial displacement along the cavity surface are obtained.
Subject Headings: Integrals | Cavitation | Integral equations | Contact mechanics | Axisymmetry | Numerical methods
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