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Sackfield, A.; Hills, D. A.

The stresses induced in a semi-infinite elastic body by axi-symmetric pressure. (English) Zbl 0684.73058

Int. J. Math. Educ. Sci. Technol. 20, No. 3, 447-455 (1989).
Summary: A general method is described of deducing the stresses induced in a semi- infinite body by axi-symmetric contact pressure applied over part of the boundary. The technique is illustrated by re-evaluating the solution to the Hertz problem, and by deducing the stresses induced in a fourth-order contacting pair.

MSC:

74A55 Theories of friction (tribology)
74M15 Contact in solid mechanics
74G70 Stress concentrations, singularities in solid mechanics
31B05 Harmonic, subharmonic, superharmonic functions in higher dimensions

Keywords:

fourth order parabolic pressure distribution; well posed boundary value problem of the first kind; Hertz problem
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References:

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