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首页> 外文期刊>Journal of thermal stresses >IMPROVED GLOBAL-LOCAL THEORY FOR LAMINATED PLATES UNDER THERMAL LOAD WITH ACTUAL TEMPERATURE PROFILE
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IMPROVED GLOBAL-LOCAL THEORY FOR LAMINATED PLATES UNDER THERMAL LOAD WITH ACTUAL TEMPERATURE PROFILE

机译：具有实际温度曲线的热载荷下层压板的改进的全局局部理论

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摘要

The global-local theory (GLT) differs from other laminate theories with layer-independent degrees of freedom in that it can predict with good accuracy the transverse shear stresses directly from constitutive equations, while others cannot. In this work, an improved global-local theory is presented for laminated plates under thermal loading, which takes into account the actual temperature profile across the thickness, obtained by solving the heat conduction equation, and incorporates the transverse thermal strain in the deflection field without introducing any additional deflection variable. The temperature field is approximated as piece wise linear across an arbitrary number of sub-layers. The assumption of constant deflection across the thickness in the existing GLT is augmented by superimposing the contribution from the transverse thermal expansion, following the method proposed by Kapuria et al. [15]. It fulfils the continuity condition of the deflection field a priori. The governing equations and variationally consistent boundary conditions are derived using the principle of virtual work. The improved and existing GLTs are assessed in direct comparison with the three dimensional elasticity solution and also with other available theories, for a variety of inhomogeneous composite and sandwich plates.
机译：全局局部理论（GLT）与其他层独立自由度的层合理论不同，它可以直接根据本构方程准确预测横向剪切应力，而其他人则不能。在这项工作中，提出了一种改进的整体板-局部理论，该模型针对热载荷下的叠层板，其中考虑了通过求解热传导方程获得的整个厚度上的实际温度曲线，并将横向热应变纳入了偏转场而没有引入任何其他偏转变量。温度场在任意数量的子层上近似为分段线性。遵循Kapuria等人提出的方法，通过叠加横向热膨胀的贡献，可以增强现有GLT中整个厚度恒定挠曲的假设。 [15]。它先验地满足偏转场的连续性条件。利用虚拟功原理推导了控制方程和变分一致的边界条件。对于各种不均匀的复合材料和夹心板，通过与三维弹性解以及其他可用理论进行直接比较，可以评估改进的GLT和现有的GLT。

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