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THE CLASSICAL THEORY OF ELASTICITY
FUNCTIONS OF A COMPLEX VARIABLE
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2tti analysis approximate arbitrary assumed axisymmetric beam body forces boundary conditions boundary value problems Cauchy Principal Value circular coefficients complex potentials considered contact pressure contact problems contact region contact stress coordinates corresponding cylinder deduce defined denotes derived dimensionless dual integral equations Dundurs elastic bodies elastic constants elastic foundation elastic half-space elastic layer elliptic equations governing equilibrium Erdogan Example expressed finite friction function G.Ia Galin given gives Hankel transforms Holder condition holomorphic indenter infinite infinity isotropic Keer mathematical Melan's Mellin transform method Mossakovskii Muki Muskhelishvili nonhomogeneous normal displacement normal stress Note numerical obtained Papkovich-Neuber solution plane strain plane stress plate polynomial Popov radius relation rigid punch Russian satisfies semi-infinite shear stress Show shown in Figure Sneddon solved Sternberg stiffener stress distribution strip surface symmetric theorem theory of elasticity Ufliand upper half-plane V.M. Aleksandrov wedge x-axis xx yy yields zero