增强型Reddy层合梁理论与热应力分析

Enhanced Reddy's beam theory and thermal stress analysis

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 extend Reddy’s theory to accurately analyze the thermal deformations and stresses of laminated composite and sandwich structures,an enhanced Reddy’s theory for laminated composite beams was proposed by using the transverse normal thermal deformation in transverse displacement as well as the free surface conditions.Although transverse normal strain is involved,the number of unknowns in the proposed model is the same as that in Reddy’s theory.Using the principle of virtual work,the equations of equilibrium for laminated composite beams were presented,and the thermal expansion problems of laminated composite and sandwich beams were analyzed.Numerical results show that the enhanced Reddy’s theory can accurately analyze the thermal expansion problems of laminated composite and sandwich structures.However,Reddy’s theory is less accurate for thermal expansion problems.