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Refined Global-local Higher-order Theory For Angle-ply Laminated Plates Under Thermo-mechanical Loads And Finite Element Model

机译:热力载荷下有限元模型对角板层合板的精细局部全局高阶理论

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摘要

To analyze angle-ply laminated composite and sandwich plates coupled bending and extension under thermo-mechanical loading, a refined global-local higher-order theory considering transverse normal strain is presented in this work. Hitherto, present theory for angle-ply laminates has never been reported in the literature, and this theory can satisfy continuity of transverse shear stresses at interfaces. In addition, the number of unknowns in present model is independent of layer numbers of the laminate. Based on this theory as well as methodology of the refined triangular discrete Kirchhoff plate element, a triangular laminated plate element satisfying the requirement of C~1 continuity is presented. Numerical results show that the present refined theory can accurately analyze the bending problems of angle-ply composite and sandwich plates as well as thermal expansion problem of cross-ply plates, and the present refined theory is obviously superior to the existing global-local higher-order theory proposed by Li and Liu [Li XY, Liu D. Generalized laminate theories based on double superposition hypothesis. Int J Numer Meth Eng 1997;40:1197-212]. After ascertaining the accuracy of present model, the distributions of displacements and stresses for angle-ply laminated plates under temperature loads are also given in present work. These results can serve as a reference for future investigations.
机译:为了分析热机械载荷作用下的层板叠层复合材料和夹心板的弯曲和延伸耦合,提出了考虑横向法向应变的改进的全局局部高阶理论。迄今为止,在文献中从未报道过目前的用于角铺层层压板的理论,该理论可以满足界面处横向剪切应力的连续性。此外,本模型中未知数的数量与层压板的层数无关。基于该理论以及精细的三角离散基尔霍夫板单元的计算方法,提出了满足C〜1连续性要求的三角叠层板单元。数值结果表明,该改进的理论可以准确地分析夹角复合板和夹层板的弯曲问题以及交叉板的热膨胀问题,并且该改进的理论显然优于现有的全局局部高阶问题。 Li和Liu提出的有序理论[Li XY,Liu D.基于双重叠加假设的广义层合理论。 Int J Numer Meth Eng 1997; 40:1197-212]。在确定了当前模型的准确性之后,在当前工作中还给出了角板层合板在温度载荷下的位移和应力分布。这些结果可为将来的研究提供参考。

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