ABSTRACT

In this chapter, the general solutions of Chapter 8 are used to obtain closed-form solutions to typical two-dimensional boundary value problems of isothermal and nonisothermal elastostatics. The solutions include (a) an elastic state corresponding to a concentrated force normal to the boundary of a semispace, (b) an elastic state corresponding to a concentrated force tangent to the boundary of a semispace, (c) the Lamé solution for a thin hollow circular disk subject to uniform pressures on the boundaries, (d) an elastic state in an infinite sheet with a circular hole subject to uniform tension at infinity, (e) a thermoelastic state due to a discontinuous temperature field in an infinite sheet, and (f) a thermoelastic state due to a concentrated heat source in a semi-infinite sheet. A number of end-of-chapter problems are included, and their solutions may be found in the Solutions Manual.