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An asymmetric mixed boundary value problem of a transversely isotropic half-space subjected to a moment by an annular rigid punch. (English) Zbl 0467.73148


MSC:

74A55 Theories of friction (tribology)
74M15 Contact in solid mechanics
74B99 Elastic materials
74H99 Dynamical problems in solid mechanics
45F10 Dual, triple, etc., integral and series equations
45B05 Fredholm integral equations
Full Text: DOI

References:

[1] Harding, J. W., Sneddon, I. N.: The elastic stress produced by the indentation of the plane surface of a semi-infinite elastic solid by a rigid punch. Proc. Camb. Phil. Soc.41 (1945). · Zbl 0060.42001
[2] Sneddon, I. N.: Boussinesqs problem for a flat-ended cylinder. Proc. Camb. Phil. Soc.42 (1946). · Zbl 0060.42002
[3] Muki, R.: Progress in solid mechanics, Vol. 1. North-Holland Co. 1960. · Zbl 0100.20103
[4] Krynine, D. P.: Soil mechanics, 1st ed. New York: McGraw-Hill 1941.
[5] Dhaliwal, R. S.: Punch problem for an elastic layer overlying an elastic foundation. Int. J. Engng. Sci.8 (1970). · Zbl 0194.26205
[6] Dhaliwal, R. S., Ran, I. S.: The axisymmetric Boussinesqs problem for a thick elastic layer under a punch of arbitrary profile. Int. J. Eng. Sci.8 (1970).
[7] Sneddon, I. N.: Fourier transforms. New York: McGraw-Hill 1951. · Zbl 0038.26801
[8] Sneddon, I. N. (ed.): Survey of articles on the applications of integral transforms in the theory of elasticity (by Ya. S. Ufly and translated by W. J. A. Whyte). Tech. Rep. No. AFOSR-65-1556. North Carolina State University. · Zbl 0433.73015
[9] Olesiak, Z.: Annular punch on an elastic semi-space. Arch. Mech. Stos.17, 4 (1965).
[10] Dhawan, G. K.: A transversely isotropic half-space indented by a flat annular rigid stamp. Acta Mechanica31 (1979). · Zbl 0402.73095
[11] Gubenko, U. S., Mossakovaskii, V. I.: Pressure of an axially symmetric circular die on an elastic half-space. P. M. M.24 (1960). · Zbl 0096.39206
[12] Green, A. E., Zerna, W.: Theoretical elasticity. London: Camb. University Press 1948. · Zbl 0056.18205
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