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Nonlinear Flexural Analysis of Laminated Composite Panel Under Hygro-Thermo-Mechanical Loading - A Micromechanical Approach

机译:湿热机械载荷作用下层合复合板的非线性挠曲分析-一种微力学方法

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摘要

In this paper, the geometrically nonlinear transverse bending behavior of the shear deformable laminated composite spherical shell panel under hygro-thermo-mechanical loading is investigated. The laminated composite panel model has been developed mathematically based on the higher-order shear deformation theory and Green-Lagrange nonlinear strain kinematics. The material model is introduced through the micromechanical approach explicitly in terms of the matrix properties, the fiber properties, and the fiber volume fractions. Theoretical formulation is developed based on the hygrothermal dependent composite material properties to evaluate the corrugated behavior of the laminated structure. In addition to that, all the nonlinear higher-order terms arising in the strain displacement relation are included in the present formulation for accurate prediction of the flexural behavior. The desired nonlinear governing equations are obtained using the variational method and discretized with the help of suitable finite element steps. The desired responses are computed by solving the nonlinear equations numerically using the direct iterative method. The convergence behavior of the developed nonlinear numerical model has been checked and validated by comparing the responses with those available published literature. Finally, the effect of hygrothermal environment, geometrical and material parameters and the support conditions on the transverse bending behavior of the laminated composite curved shell panel have been highlighted by solving different numerical examples.
机译:本文研究了湿热机械载荷作用下可剪切变形的叠层复合球形壳板的几何非线性横向弯曲行为。叠层复合板模型是基于高阶剪切变形理论和格林-拉格朗日非线性应变运动学数学开发的。通过微机械方法明确地根据基体性质,纤维性质和纤维体积分数引入了材料模型。基于与湿热有关的复合材料的性能,开发了理论配方,以评估层压结构的波纹行为。除此之外,在应变公式中出现的所有非线性高阶项都包括在本公式中,用于精确预测弯曲行为。使用变分方法获得所需的非线性控制方程,并借助适当的有限元步骤将其离散化。通过使用直接迭代法数值求解非线性方程,可以计算出所需的响应。已开发的非线性数值模型的收敛性已通过将响应与现有文献进行了比较来进行检验和验证。最后,通过求解不同的数值例子,突出了湿热环境,几何和材料参数以及支撑条件对层压复合弯曲壳板横向弯曲行为的影响。

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