TRANSIENT HEAT-CONDUCTION AND THERMAL-STRESS PROBLEMS OF A NONHOMOGENEOUS PLATE WITH TEMPERATURE-DEPENDENT MATERIAL PROPERTIES

Nonhomogeneous materials, such as functionally gradient materials (FGM ) have special characteristics due to arbitrarily distributed and cont inuously varied material properties. For such nonhomogeneous materials , the heat conduction equation is presented in a nonlinear form. In th is paper, the temperature solution for such a nonlinear system is form ulated approximately, and the solution of the integral form of nonunif orm thermal material constants is given. Taking into account the effec t of temperature dependency of material properties, the one-dimensiona l transient heat conduction problem of such a nonhomogeneous plate is analyzed theoretically, and the associated thermal stress distribution is formulated under the mechanical of traction-free condition. Numeri cal calculations are carried out for a nonhomogeneous plate made of Zi rconium Oxide and Titanium alloy. The influence of a temperature depen dency in material properties and of a change of nonhomogeneity affecte d by the temperature and the thermal stress distributions are shown in figures and examined briefly in the text.