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Static analysis of cross-ply laminated composite plate using finite element method

机译:交叉层压复合板的有限元静力分析

摘要

Finite element Analysis is carried out to perform static analysis on a cross-ply laminated composite square plate based on the First order Shear Deformation Theory (FSDT). The theory accounts for constant variation of transverse shear stresses across the thickness of the laminate; and it uses a shear correction factor. The element formulated is an 8-noded iso-parametric quadratic (Serendipity) element. In this analysis, the square plate is analyzed for transverse loading viz., sinusoidal varying load and uniformly distributed load under simply supported boundary conditions. A program is written in MATLAB to obtain the finite element solutions for transverse displacements, normal stresses and transverse shear stresses. Solutions are obtained for 3, 4 and 5 layers of the laminate with cross-ply orientation for different values of side to thickness ratios. Reduced integration scheme is adopted to alleviate shear locking effects. Stresses are found at Gauss points from constitutive relations. The solutions are compared with closed form solutions of FSDT, 3D elasticity solutions and Classical Laminate Plate Theory (CLPT) solutions. It is observed that the results are in close agreement with the available solutions. The element being a C 0 continuous element, it ensures the continuity of generalized displacements only; not strains and thus stresses. The model is validated by its good convergence with the analytical results. Analysis can be done on thin as well as moderately thick plates satisfactorily by using this model.
机译:基于一阶剪切变形理论(FSDT),对有限责任公司进行了有限元分析,以对交叉层压复合方板进行静态分析。该理论说明了横向剪切应力在层压材料的整个厚度上的恒定变化。它使用剪切校正因子。公式化的元素是8节点等参二次(Serendipity)元素。在此分析中,将分析方板在简单支撑的边界条件下的横向载荷,即正弦变化载荷和均匀分布载荷。在MATLAB中编写了一个程序来获得横向位移,法向应力和横向剪应力的有限元解。对于侧面,厚度比的不同值,获得了具有3层,4层和5层层压板的解决方案,它们具有交叉铺层取向。采用简化的积分方案来减轻剪力锁定效应。在本构关系的高斯点发现应力。将这些解决方案与FSDT的封闭形式解决方案,3D弹性解决方案和经典层压板理论(CLPT)解决方案进行了比较。可以看出,结果与可用的解决方案非常吻合。该元素是C 0连续元素,它仅确保广义位移的连续性;不劳累,因此压力。该模型通过与分析结果的良好收敛性而得到验证。使用此模型,可以在薄板和中厚板上进行满意的分析。

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    K Venkata Sai Gopal;

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  • 年度 2007
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