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首页> 外文期刊>Journal of thermal stresses >A state-space finite element method for laminated composite plates under thermal loading
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A state-space finite element method for laminated composite plates under thermal loading

机译：复合材料层合板热载荷的状态空间有限元方法

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摘要

On the basis of the mixed variational principle, a state equation for the thermal elasticity in a laminated composite plate is yielded. A state-space finite element method is proposed to solve the established state equation, which is a nonhomogenous one. The horizontal plane of the laminated plate is modeled by traditional finite elements, while the variables along the thickness direction are obtained by the precise integration method. Because the discretization is implemented only on the horizontal plane, fewer elements are needed comparing with the traditional finite element method, in which the mesh is discretized in the whole structure. The different constraint conditions on the plate boundary are discussed. The calculated transverse thermal stresses by the present method satisfy the surface/interface conditions exactly. However, the numerical results by the traditional finite element method only approximately satisfy the surface/interface conditions. The transverse thermal stress distribution along the thickness direction evaluated by the present method is continuous across the interfaces of different layers in the laminated plate, whereas the traditional finite element method fails to provide the continuous transverse thermal stresses at the interfaces.
机译：基于混合变分原理，得出了层压复合板中热弹性的状态方程。提出了一种状态空间有限元方法来求解已建立的状态方程，该方法是非均匀的。层压板的水平面由传统的有限元建模，而沿厚度方向的变量则通过精确积分法获得。由于离散化仅在水平面上实现，因此与传统的有限元方法相比，所需的元素更少，传统的有限元方法将网格在整个结构中离散化。讨论了板边界上的不同约束条件。通过本方法计算的横向热应力完全满足表面/界面条件。但是，传统有限元方法的数值结果仅大致满足表面/界面条件。通过本方法评估的沿厚度方向的横向热应力分布在层压板中不同层的界面上是连续的，而传统的有限元方法无法在界面处提供连续的横向热应力。

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