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首页> 外文期刊>Journal of aerospace engineering >New Displacement Model for Accurate Prediction of Transverse Shear Stresses in Laminated and Sandwich Rectangular Plates
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New Displacement Model for Accurate Prediction of Transverse Shear Stresses in Laminated and Sandwich Rectangular Plates

机译：用于精确预测层压和三明治矩形板横向剪切应力的新位移模型

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摘要

A new quasi-three-dimensional (quasi-3D) displacement model considering the effects of fifth-order shear deformation and fourth-order normal deformation is developed for the accurate prediction of displacements, in-plane stresses, and transverse shear stresses in laminated composite and sandwich plates. The present theory involves nine unknowns in the displacement field and satisfies traction-free boundary conditions at top and bottom surfaces of the plate. The governing differential equations and associated boundary conditions are obtained using the principle of virtual work. Analytical solutions are obtained using Navier's solution technique. All the displacements and stresses are obtained for simply supported boundary conditions. Transverse shear stresses of laminated composite and sandwich plates are obtained using equilibrium equations of the theory of elasticity by direct integration method. The numerical results are found in excellent agreement with exact elasticity solutions compared with other higher-order theories available in the literature. Hence, it is concluded that the present theory yields accurate predictions of displacements and stresses in laminated composite and sandwich plates.
机译：考虑到第五阶剪切变形和四阶正常变形的效果的新的准三维（准三维）位移模型用于精确预测层压复合材料中的位移，面内应力和横向剪切应力的精确预测和三明治板块。本理论涉及位移场中的九个未知，并满足板的顶部和底表面的无牵引边界条件。使用虚拟工作原理获得控制微分方程和相关边界条件。使用Navier的解决方案技术获得分析解决方案。为简单地支持的边界条件获得所有位移和应力。通过直接集成方法使用弹性理论的平衡方程获得层压复合材料和夹层板的横向剪切应力。与文献中可用的其他高阶理论相比，与精确弹性解决方案的卓越一致性达成了数值结果。因此，得出结论，本文在层压复合材料和三明治板中产生了精确的位移和应力的准确预测。

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