Effect Of Boundary Temperature On Thermal Stress Field Of Two Dimensional Functionally Graded Plate

In this paper, based on the two-dimensional constant property FGM plate as theresearch object, using the plane temperature field and stress field of the finite elementmethod to write effective calculating program, then calculate the numerical solution ofthe stress field and import the data into matlab to draw out the thermal stress diagramfor quantitative and qualitative analysis. This paper emphatically studied, in the firstkind of boundary conditions, the impact on the thermal stress field, when choosingtwo-dimensional FGM thermodynamic models of physical parameters to set differentforms of boundary condition in different boundary location. For the transient thermalstress field of two-dimensional functionally graded plate,the results of boundarytemperature show that:The boundary condition of2d metal/metal/ceramic FGM plate on both sides of theup boundary is heating and the different heating temperature of upper boundary is fixedfunction, Linear function, parabolic function and sine function. The initial temperatureis from700K to1300K. Analysis result shows that under the transient heatingtemperature filed, internal stress of the plate act as the pressure; When relativecoordinates x/l fixed, maximum stress is located in the border on the ceramic side, so itcan give full play to the ceramic compressive capacity; The range of equivalent stressline, which is located along the two to the transverse and longitudinal distribution,isreducing gradually with the decrease of the value and has has gradually astringed to thelower right, which means the stress gradient to the lower right boundary increasesgradually; As the plate boundary temperature rises, the minimum stress value and themaximum stress value has a significant rise, the percentage of which is more than75%.The boundary condition of2d metal/metal/ceramic FGM plate on both sides of theup and down with all around is heating and the different heating temperature of upperboundary is fixed function, Linear function, parabolic function and sine function. Theinitial temperature is from700K to1300K. Relative coordinates y/b fixed, the left stressvalue is greater than the stress value on the right side, which is associated with uneveninternal thermal conductivity; The larger the upper line of thermal stress gradient is, thesmaller the gradient along the longitudinal heat stress. Thermal stress gradient of thelower right boundary line is minimal and has gradually astringed to the lower left and lower right boundary; as the boundary temperature of plate rises, the equivalent stressline is more and more far away from the upper boundary. This phenomenon indicatesthat heat transfer effect of plate is more and more obvious; at the different initialtemperature point, the difference between the maximum and minimum of heat stressvalue is almost the same. Therefore, the thermal stress value is linear increased whenthe heating temperature function of the lower boundary is the normal temperaturefunction and the change of the heating temperature of the upper boundary is increasingwith the equivalent and ordinal way.Based on research of the thermal stress field of the two-dimensional thermalfunctionally graded plate, we may safely draw the effect of the different boundaryconditions of temperature on the transient thermal stress field. For the design,optimization and application of two-dimensional FGM structure, it provides a morecomprehensive and specific calculation basis.