Abstract
A solution to the contact problem of a rigid indentor in an elastic half space is derived by employing the theory of second order elasticity. The formulae for the distribution of pressure under the punch, shape of the deformed surface, total load on the punch and the depth of penetration are given in the general terms. The results are illustrated by considering the indentation of the half space by a rigid sphere. Amongst other results it is found that for a compressible material the depth of penetration is larger and the total load is smaller as compared to their values in classical elasticity; for an incompressible material the effects observed are exactly reversed to those of the above.
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