Solution o£ some Torsion Problems for Nonhomogeneous Elastic Bodies of Revolution

Abstract

The Thesis is devoted tthe study of the influence of non-homogeneity on the stressed state of elastic bodies subjected to torsion, in partic­ ular bodies of revolution under mixed boundary conditions. In some cases, the body may include a crack. We obtain analytical expressions for some quantities of physical importance such as the applied torque and the stress intensity factor in terrns of auxiliary functions to be de­ termined from the mathematical solution. Each problem leads to one or two coupled Fredholm integral equations of the second kind, the so­ lutions of which are obtained either numerically or by using Poincare expansions in a small parameter determined from the geometry of the body. We analyze the obtained results for the numerical values for the

stress intensity factor at the points of discontinuity of the boundary conditions. We also compare our results with those known in the literature.