Study On Plane Thermal Stresses Of Two-dimensional FGM Plate Based On FEM

In this paper, in connection with traditional study model of one-dimensional FGM metal/ceramic structure composed of Al1100 and SiC, this paper makes up a new universal model of two-dimensional FGM Al1100/Ti-6Al-4V/SiC structure which has graded changes in two directions. Actual microscopic predicted thermodynamics property parameter models of two-dimensional FGM are adopted to compile practical calculation procedures for the structure. By numerical computing and analysis, when we above material property parameters are adopted, influences of the m_x and the A_x on the temperature and the thermal stresses field distributions in the two-dimensional FGM metal/metal/ceramic structure are investigated under the first heating boundary condition. In addition to, we also discuss influences of thermal mechanical boundary conditions on thermal stresses fields. Then we compare with these results of the one-dimensional FGM metal/ceramic structure with graded properties through thickness direction.The study results of temperature fields in the two-dimensional FGM plate show as follows:Comparing with the one-dimensional FGM plate, the average temperature gradient is smaller relatively in the two-dimensional FGM plate. When m_x=0.5, the temperature gradient of rich metal side is relatively bigger and the maximum temperature difference value increases by 15.6%. But the temperature gradient of rich ceramic side is relatively smaller and the maximum temperature difference value reduces by 53%. With the increasing of the Ax , the temperature curve surface changes from concave shape( Ax =0.0) to convex shape( Ax = 3.99). The change trend is especially significant at x = 0.1~0.5 and y = 0.2~0.5 in the two-dimensional FGM plate.The study results of thermal stresses fields in the two-dimensional FGM plate show as follows:With the increasing of the m_x, compressive stresses on lower metal surface reduce and compressive stresses on upper ceramic increase. Thermal stresses curve surfaces of the two-dimensional FGM plate in y-direction are more smooth than those of the one-dimensional FGM plate. In the two-dimensional FGM plate thermal stress gradient is smaller. The bigger the value of the A_x is, the bigger convex degree is and the smaller thermal stress gradient is. At x =0.1~0.5 and y =0.2~0.5, there is the most obvious, but other places have no variation. Under the same mechanical boundary, thermal stress curve surface of two-dimensional FGM plate is smooth and has smaller bending trend, especially at restricted place. Furthermore thermal boundary conditions make influences on thermal stresses in the two-dimensional FGM plate.By studying temperature and thermal stress fields in the two-dimensional FGM plate its boundary conditions are made even more close to actual applied cases. These results also provide more comprehensive and concrete calculation foundation for design, optimization and application of two-dimensional FGM structures.