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Refined laminated composite plate element based on global-local higher-order shear deformation theory

机译:基于整体局部高阶剪切变形理论的复合层板精制单元

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Based on the 1,2-3 doublc-supcrposition theory proposed by Li and Liu [Int. J. Numer. Meth. Eng. 1997;40:l 197], a new global-local higher-order theory for angle-ply laminated plates is derived. This theory fully satisfies the free surface conditions and the geometric and stress continuity conditions at interfaces. The number of unknowns of the higher-order theories is independent of the layer numbers of the composite laminate. Based on the higher-order theory, a refined four-noded quadrilateral plate element and a refined three-noded triangular element are presented. The interelement C~1 weak-continuity conditions can be satisfied. Numerical results show that in-plane stresses and transverse shear stresses can be accurately computed by the direct constitutive equation approach. In order to obtain transverse normal stresses, the equilibrium equation approach is employed here.
机译:基于李和刘提出的1,2-3双叠加理论[Int。 J.纽默方法。 1997; 40:l 197],得出了一种新的角度局部层压板的全局局部高阶理论。该理论完全满足自由表面条件以及界面处的几何和应力连续性条件。高阶理论的未知数与复合层压板的层数无关。基于高阶理论,提出了一种改进的四节点四边形板单元和一种改进的三节点三角形单元。可以满足元素C〜1的弱连续性条件。数值结果表明,采用直接本构方程法可以准确地计算出平面内应力和横向剪应力。为了获得横向法向应力,这里采用平衡方程法。

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