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为推广Reddy理论准确分析复合材料层合/夹层结构的热变形和应力,通过使用横法向热变形和自由表面条件,发展了增强型Reddy层合梁理论。虽然考虑了横法向应变,增强型Reddy理论位移变量数与Reddy理论相同。用虚功原理推导了复合材料层合梁平衡方程,并分析了简支复合材料层合/夹层梁热膨胀问题。数值结果表明,增强型Reddy理论能准确分析复合材料层合/夹层结构热膨胀问题,而Reddy理论分析热膨胀问题误差较大。
To promote the Reddy theory to accurately analyze the thermal deformation and stress of composite laminates / sandwich structures, an enhanced Reddy Laminated Beam theory was developed by using transverse normal thermal deformation and free surface conditions. Although transverse normal strain is considered, the number of augmented Reddy theory displacement variables is the same as the Reddy theory. The principle of virtual work is used to deduce the equilibrium equation of composite laminated beam and the thermal expansion problem of laminated composite laminated beam is analyzed. The numerical results show that the enhanced Reddy theory can accurately analyze the thermal expansion problems of composite laminates / sandwich structures, while the Reddy theory analyzes the thermal expansion problems with large errors.