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Thermal Stress Analysis of laminated structures by a variable kinematic MITC9 shell element

机译:运动型MITC9壳单元对叠层结构的热应力分析

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摘要

A linear static thermal stress analysis of composite shell structures is carried out by means of a shell nite element with variable through-the-thickness kinematic. The re- ned models used are both Equivalent Single Layer (ESL) and Layer Wise (LW) and they are grouped in the Unied Formulation by Carrera (CUF). These models permit the distribution of displacements, stresses and temperature along the thickness of the multi- layered shell to be accurately described. The Principle of Virtual Displacement (PVD) is employed to derive the governing equations. The Mixed Interpolation of Tensorial Components (MITC) method is used to contrast the membrane and shear locking phe- nomenon for a nine-node shell element. Cross-ply plate, cylindrical and spherical shells with simply-supported edges and subjected to bi-sinusoidal thermal load are analyzed and various thickness ratios are considered. The results, obtained with dierent theories con- tained in the CUF, are compared with both the elasticity solutions given in the literature and the analytical solutions obtained using higher-order models and the Navier's method. From the analysis, one can conclude that the shell element based on the CUF is very ef- cient, and its use leads to reach higher accuracy than classical models in the study of layered structures
机译:通过具有可变厚度的运动学的壳单元,对复合壳结构进行了线性静态热应力分析。所使用的精炼模型是等效单层(ESL)和层明智(LW),它们在Carrera的Unied配方(CUF)中分组。这些模型允许沿着多层壳体的厚度准确地描述位移,应力和温度的分布。虚拟位移原理(PVD)用于推导控制方程。张量分量的混合插值(MITC)方法用于对比九节点壳单元的膜和剪切锁定现象。分析了具有简单支撑边缘并承受双正弦热负荷的交叉板,圆柱和球形壳体,并考虑了各种厚度比。用CUF中包含的不同理论获得的结果与文献中给出的弹性解以及使用高阶模型和Navier方法获得的解析解进行了比较。从分析中可以得出结论,基于CUF的壳单元非常有效,在分层结构研究中,其使用比传统模型的精度更高。

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