ABSTRACT
In Chapter 7, a number of general solutions of three-dimensional homogeneous isotropic elastostatics were introduced. In this chapter the Boussinesq-Papkovitch-Neuber representation is used to obtain a closed-form solution to the problem of finding an elastic state in a semispace subject to a concentrated force normal to its boundary. Also, the BoussinesqSomigliana-Galerkin representation is utilized for obtaining a closed-form solution to the problem of finding an elastic state in a semispace subject to a concentrated force tangent to its boundary. In addition, Love’s representation of Chapter 7 is used for obtaining closed-form solutions to three-dimensional boundary value problems of nonisothermal elastostatics: (i) the thermoelastic state in a semi-infinite body corresponding to an internal source of heat, and (ii) the thermoelastic state in a semi-infinite body corresponding to a heat exposure on the boundary plane. An approximate three-dimensional theory of torsion of a homogeneous isotropic elastic prismatic bar is also included in this chapter. The chapter ends up with torsion problems, with the solutions included in the Solutions Manual.
