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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:精确预测层压板和夹心矩形板中的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:提出了一种考虑五阶剪切变形和四阶法向变形影响的准三维(quasi-3D)位移模型,以精确预测层压复合材料的位移,面内应力和横向剪应力。和三明治板。本理论涉及位移场中的九个未知数,并满足板顶面和底面的无牵引边界条件。使用虚功原理获得控制微分方程和相关的边界条件。分析解决方案是使用Navier的解决方案技术获得的。所有位移和应力都是在简单支持的边界条件下获得的。利用弹性理论的平衡方程,通过直接积分法获得层合的复合材料和夹心板的横向剪切应力。与文献中提供的其他高阶理论相比,数值结果与精确的弹性解非常吻合。因此,可以得出结论,本理论对层压复合材料和夹心板的位移和应力产生了准确的预测。

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