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Fracture mechanics using a 3D composite element

机译:使用3D复合元素的断裂力学

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The formulation of a 3D composite element and its use in a mixed-mode fracture mechanics examples is presented. This element, like a conventional 3D finite element, has three degrees of freedom per node although, like a plate element, the strains are defined in the local directions of the mid-plane surface. The stress-train property matrix of this element was modified to decoupage the stresses in the local mid-pane and he strains normal to this plane thus preventing the element from being too stiff in bending. A main advantage of this formulation is the ability to model a laminate with a single 3D element. The motivation behind this works was to improve the computational efficiency associated with the calculation of strain energy release rates in laminated structures. A comparison of mixed-mode results using different elements of an in-house finite element package are presented. Good agreement was achieved between the results obtained using the new element and conventional higher-order elements.
机译:介绍了3D复合元素的公式及其在混合模式断裂力学示例中的用途。像传统的3D有限元一样,此元素每个节点具有三个自由度,尽管像板状元素一样,应变是在中平面表面的局部方向上定义的。修改了该元件的应力-应变特性矩阵,以消除局部中间窗格中的应力,并且他垂直于该平面应变,从而防止了元件在弯曲时过于僵硬。该公式的主要优点是能够对具有单个3D元素的层压板进行建模。这项工作背后的动机是提高与层压结构中应变能释放率的计算相关的计算效率。提出了使用内部有限元软件包中不同元素的混合模式结果的比较。使用新元素和常规高阶元素获得的结果之间达成了很好的一致性。

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