Reissner-Sagoci problem for a non-homogeneous half-space with surface constraint
This paper deals with the problem of twisting of a non-homogeneous, isotropic, half-space by rotating a circular part of its boundary surface \((0\leq r\leq a, z=0)\) through a given angle. A ring \((a<r<b, z=0)\) outside this circle is stress-free and the remaining part \((r>b, z=0)\) is rapidly clamped. The shear modulus \(\mu\) is assumed to vary with the cylindrical coordinates \(r\), \(z\) by the power law \((\mu=\mu_{\alpha,\beta}r^ \alpha z^ \beta)\). Such a dependence is of practical interest in the context of soil mechanics. The problem leads to a Fredholm integral equation of the second kind which is solved numerically, giving an evaluation of the influence of non-homogeneity on the torque at the surface and the stress intensity factor.
Fredholm integral equation of the second kind
scientific article; zbMATH DE number 590214
scientific article