Influence Of Components On Plane Transient Cooling Thermal Stress For Constant Property 2D-FGM Plate

This paper studied the two-dimensional FGM plate, consisting of Ti-6Al-4V. Al-1100 and ZrO2, FGM material properties which are based on Kerne mesomechanics model are provided. Employing continuous medium mechanics as theoretical basis, the control equations of 2D-FGM plane thermo-elastic problem are derived, and variational theorems of the plane heat conduction and thermal stress problem of FGM material are established, and their finite element equations are given to obtain the numerical results. Furthermore, the analytic solutions of this problem after simplification are obtained by employing mathematical analysis method, through contrasting analytic and numerical results the validity of finite element procedure is testified. Finally, according to the calculation results, the cooling transient thermal stress field distribution pictures are obtained and the analysis of the effects of the composition distribution coefficient on the cooling transient thermal stress is given.The results indicated that the effect of mx and my on plane transient cooling thermal stress for 2D-FGM plate is very large, with the increase of composition distribute coeff-icient, the stress field becomes well-distributed. When the heating temperature functions of upper boundary are different, and mx is 1.0, my increased from 1.0 to 10.0, the thermal stresses of all the positions in the FGM plate gradually increase. If the heating temperature functions of upper and lower boundaries are Tb=1300K, Ta=500K, mx is 1.0, my increased from 1.0 to 10.0, the stress of the point x/l,x/b(0.5,0.5) in the plate increased from 340MPa to 920MPa, which is increased by 63%; my is 1.0, mx increased from 1.0 to 10.0, the minimum stress in the plate increased from 260MPa to 440MPa, which is increased by 40.9%.The geometry and boundary conditions of the 2D-FGM plate are all symmetrical on the x=x/l=0.5 axis, if the stress field distribution is asymmetric when different heat conductivities are considered, the stress values all increase from left to right in the plate, for example, when the heating temperature function of upper boundary is Tb=1300K and my is 10, the temperature value of the point x/l,x/b(0.2,0.4) is 2300MPa and the temperature value of the point x/l,x/b(0.8,0.4) is 1420MPa, The former adds 61.97% than the latter. In addition, the tensile stresses in the plate generate because the plate fixes around and shrinkes during the cooling process, this means the transient stress values in the 2D-FGM plate are positive.Therefore, during the design and application,by selecting suitable material and structure parameters to reduce the thermal stress, actual demand is met.