A shell element for the prediction of residual load‐carrying capacities due to delamination
A shell element for the prediction of residual load‐carrying capacities due to delamination
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DOI：
10.1002/nme.6010
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发表时间：
2018-12
影响因子：
2.9
通讯作者：
F. Gruttmann;G. Knust
中科院分区：
文献类型：
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作者：
F. Gruttmann;G. Knust
本文研究承受静载荷的层合板壳。运动学假设扩展的跳跃函数依赖于损伤参数。另外，中间层布置在层压件的任何位置处。这允许数值模拟脱层的发生和增长。边值问题的方程除了包括应力合力的平衡外，还包括应力的局部平衡、几何场方程、本构方程以及通过厚度和边界条件强制叠加位移场的正确形状的约束。导出了四边形边值问题的弱形式和相应的有限元列式。所发展的壳单元在节点处具有通常的5或6个自由度。这是一个重要的特点，因为标准的几何边界条件可以应用和元素适用于壳相交问题。利用所建立的模型，计算了分层壳在分层破坏时的剩余承载能力。
This paper deals with layered plates and shells subjected to static loading. The kinematic assumptions are extended by a jump function in dependence of a damage parameter. Additionally, an intermediate layer is arranged at any position of the laminate. This allows numerical simulation of onset and growth of delaminations. The equations of the boundary value problem include besides the equilibrium in terms of stress resultants, the local equilibrium in terms of stresses, the geometric field equations, the constitutive equations, and a constraint which enforces the correct shape of a superposed displacement field through the thickness as well as boundary conditions. The weak form of the boundary value problem and the associated finite element formulation for quadrilaterals is derived. The developed shell element possesses the usual 5 or 6 degrees of freedom at the nodes. This is an essential feature since standard geometrical boundary conditions can be applied and the elements are applicable to shell intersection problems. With the developed model, residual load‐carrying capacities of layered shells due to delamination failure are computed.