引入纤维和基体材料的材料尺度参数,提出了适于分析复合材料层合板热尺度效应的Reddy修正偶应力理论。此理论中将转角矢量看作独立变量,曲率张量不再对称,但可以退化为各向同性的修正偶应力。使用Reddy位移场模式,考虑温度在x轴、y轴方向引起的热应变,分析了简支板的热弯曲问题。数值结果表明,对于细观复合材料层合板热弯曲问题,材料的尺度效应不能忽略。
By introducing material length scale parameter of fiber and matrix,a Reddy-type modified couple stress theory is developed to analyze the thermal size effect of composite laminated plate. In the proposed model,the rotation vectors are considered as independent variables,and curvature tensor is asymmetric. How-ever,this model is still adaptable to the isotropic material. By considering thermal strain induced by temperature in X-axis and Y-axis,the thermal bending of simply-supported plate is analyzed by using the Reddy-type modified couple stress model. Numerical results showthat the size effect of material has to be considered for the thermal bending of laminated composite micro-plate.