Abstract
The dynamic thermoelastic response of functionally gradient cylinders and plates is studied. Thermomechanical coupling is significant in these materials when they are used in high temperature applications, and hence, the coupling is included in the formulation. The heat conduction and the thermoelastic equations are solved for a functionally gradient axisymmetric cylinder subjected to thermal loading. In addition, a thermoelastic boundary value problem using first-order shear deformation plate theory (FSDT) that accounts for the transverse shear strains and the rotations, coupled with a three dimensional heat conduction equation is formulated for a functionally gradient plate. Both problems are studied by varying the volume fraction of a ceramic and a metal using a power law distribution. Nonlinearities due to temperature and spatial dependence of material properties of the constituents are considered in the numerical studies. Parametric studies with respect to volume fraction of the ceramic and combinations of different constituents of the functionally gradient material are conducted using the finite element method. Issues related to optimization of the composition of functionally gradient cylinder are also discussed.
Chin, Che-Doong (1996). A parametric study of thermomechanical behavior of functionally gradient materials. Master's thesis, Texas A&M University. Available electronically from
https : / /hdl .handle .net /1969 .1 /ETD -TAMU -1996 -THESIS -C4482.