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Partial-mixed formulation and refined models for the analysis of composite laminates within an FSDT

机译:FSDT中用于分析复合材料层压板的部分混合配方和精炼模型

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摘要

The present paper proposes a partial-mixed variational formulation for the analysis of composite laminates within the First-order Shear Deformation Theory (FSDT). The considered functional is recovered from the Helligner-Reissner mixed principle and it appears to be particularly suitable for the determination of the FSDT governing equations since the transverse shear stresses are treated as independent variables. Accordingly, it is possible to obtain an accurate description of the shear stress profiles. Herein, the attention is concentrated on two different refined FSDT models, both having piecewise parabolic shear stress profiles. Furthermore, within one of the two refined models, the partial-mixed formulation is used to derive a performing finite element. Finally, analytic solutions from the classical and the refined FSDT models are compared to three-dimensional (3D) analytical solutions as well as to results obtained form the proposed laminate finite element.
机译:本文提出了一阶混合变分公式,用于在一阶剪切变形理论(FSDT)中分析复合材料层板。从Helligner-Reissner混合原理中恢复了所考虑的函数,并且由于横向剪切应力被视为自变量,因此它似乎特别适合于确定FSDT控制方程。因此,可以获得剪切应力分布的准确描述。在此,注意力集中在两个不同的精炼FSDT模型上,两个模型均具有分段抛物线形的剪切应力曲线。此外,在两个精炼模型之一中,部分混合公式用于导出性能有限元。最后,将经典和改进的FSDT模型的解析解与三维(3D)解析解进行比较,并与从拟议的层合有限元获得的结果进行比较。

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