Abstract
This dissertation treats exact axisymmetric steady-state solutions of the governing equations of a two-phase anisotropic nonlinearly elastic disk and gives a full qualitative description of such solutions for very general classes of materials. The special feature of these solutions is that they admit non-planar interfaces due to non-constant deformation gradients. In particular, this work treats the classical mechanical shrink-fit problem (including linear stability) and the isothermal steady-state phase-change free-boundary problem for both coherent and noncoherent interfaces. It also presents some aspects of the steady-state phase-change free-boundary problem for the coherent interface in thermoelastic case. As an auxiliary result it provides the analog of the Maxwell condition for noncoherent interfaces.