Theory and numerics of layered shells with variationally embedded interlaminar stresses
Theory and numerics of layered shells with variationally embedded interlaminar stresses
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DOI：
10.1016/j.cma.2017.08.038
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发表时间：
2017-11
影响因子：
7.2
通讯作者：
F. Gruttmann;G. Knust;W. Wagner
中科院分区：
文献类型：
--
作者：
F. Gruttmann;G. Knust;W. Wagner
目前的论文涉及承受静载荷的分层壳。除了以应力合力表示的全局平衡之外，基本方程还包括以应力表示的局部平衡、几何场方程、本构方程、通过厚度和边界条件强制叠加位移场的正确形状的约束。从而创建了三维材料定律的接口。推导了边值问题的弱形式，并指定了四边形的有限元公式。混合混合壳单元具有通常的 5 或 6 个节点自由度。这允许标准的几何边界条件，并且这些单元也适用于壳相交问题。对于线性弹性，计算出的横向剪切应力在层边界自动连续，在外表面为零。与完全 3D 计算相比，当前的元素公式仅需要一小部分计算时间。
Present paper deals with layered shells subjected to static loading. The basic equations include besides the global equilibrium formulated in terms of stress resultants, the local equilibrium in terms of stresses, the geometric field equations, the constitutive equations, a constraint which enforces the correct shape of the superposed displacement field through the thickness and the boundary conditions. Thereby an interface to three-dimensional material laws is created. The weak form of the boundary value problem is derived and a finite element formulation for quadrilaterals is specified. The mixed hybrid shell element possesses the usual 5 or 6 nodal degrees of freedom. This allows standard geometrical boundary conditions and the elements are applicable also to shell intersection problems. For linear elasticity the computed transverse shear stresses are automatically continuous at layer boundaries and zero at the outer surfaces. In comparison to fully 3D computations present element formulation needs only a fractional amount of computing time.