基于增强型Reddy理论, 给出了四节点四边形板单元并分析复合材料层合板的热应力问题。与经典Reddy理论对比, 增强型Reddy理论考虑了横法向应变, 但其位移变量数与Reddy理论相同。四节点四边形单元满足单元间C1连续条件。数值结果表明, 基于增强型Reddy理论的四边形单元能准确的分析复合材料层合板的热膨胀问题, 而Reddy理论分析热膨胀问题误差比较大。
Based on the enhanced Reddy′s theory, the four-node quadrilateral plate element is proposed for the analysis of laminated composite plates subjected to thermal loads.Although transverse normal deformation is introduced in the proposed theory, the number of displacement variables is the same as that in the classical Reddy′s theory.The four-node quadrilateral plate element satisfies the requirement of C1 continuity conditions at adjacent elements.Numerical results show that the four-node quadrilateral plate element based on the enhanced Reddy′s theory can accurately analyze the thermal expansion problems of laminated composite plates, while the classical Reddy′s theory is less accurate.
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