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Isogeometric analysis of laminated composite and sandwich plates using a new inverse trigonometric shear deformation theory

机译:用新的反三角剪切变形理论对层合复合材料和夹层板进行等温分析

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摘要

This paper presents a new inverse tangent shear deformation theory (ITSDT) for the static, free vibration and buckling analysis of laminated composite and sandwich plates. In the present theory, shear stresses are vanished at the top and bottom surfaces of the plates and shear correction factors are no longer required. A weak form of the static, free vibration and buckling models for laminated composite and sandwich plates based on ITSDT is then derived and is numerically solved using an isogeometric analysis (IGA). The proposed formulation requires C1-continuity generalized displacements and hence basis functions used in IGA fulfill this requirement. Numerical examples are provided to show high efficiency of the present method compared with other published solutions. © 2013 Elsevier Ltd. All rights reserved.
机译:本文提出了一种新的反切线剪切变形理论(ITSDT),用于层压复合材料和夹层板的静,自由振动和屈曲分析。在本理论中,剪切应力在板的顶面和底面消失,并且不再需要剪切校正因子。然后推导了基于ITSDT的复合板和夹层板的静态,自由振动和屈曲模型的弱形式,并使用等几何分析(IGA)进行了数值求解。提议的公式需要C1连续性广义位移,因此IGA中使用的基本函数可以满足此要求。提供了数值示例,以显示与其他已发布的解决方案相比,本方法的高效率。 ©2013 ElsevierLtd。保留所有权利。

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