Curved p-version C1 finite elements for the finite deformation analysis of isotropic and composite laminated thin shells in irregular shape
Curved p-version C1 finite elements for the finite deformation analysis of isotropic and composite laminated thin shells in irregular shape
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用于不规则形状各向同性和复合材料层合薄壳有限变形分析的曲线 p 版本 C1 有限元
DOI：
10.1016/j.compstruct.2020.113459
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发表时间：
2020-12
影响因子：
6.3
通讯作者：
刘波
中科院分区：
文献类型：
--
作者：
Yang Wu;Yufeng Xing;刘波
本文将我们最近发展的p型C1板元推广到一般各向同性任意曲率和形状的层合薄壳的有限变形分析中。运动学公式是基于几何精确的非线性薄壳模型，其中Kirchhoff-Love假设是严格执行期间的变形。针对p型有限元法需要高精度曲面粗网格的问题，采用拟区域映射技术，并对其进行了改进，得到了具有拟合边界的高阶网格。通过这种方法，不规则形状的壳体可以很容易地建模。为了避免在壳面上构造完全C1协调位移场的困难，本文将C1协调单元实现在所选的Gauss-Lobatto节点上，这种方法已被证明能产生非常快的收敛性。节点变量，包括二阶方向导数的表面推导和用于单元组装。在这种方式中，直接构造的位移场的壳体中表面定义的准区域映射。以各向同性和层合薄壳大变形分析的几个基准问题为例，说明了本文方法的精度和鲁棒性。
In this work, we generalize our recently developedp-version curved C1plate elements to the finite deformation analysis of general isotropic and laminated thin shells with arbitrary curvature and shape. The kinematic formulations are based on the geometrically-exact nonlinear thin shell model where the Kirchhoff-Love hypothesis is strictly implemented during the deformation. Since high accurate curved coarse meshes are required in the implementation ofp-version finite element method, the quasi regional mapping technique is employed and modified to obtain the high-order meshes with fitted boundaries. Through this method, shells with irregular shapes can be easily modeled. To avoid dealing the difficult problem of constructing fully C1conforming displacement fields on shell surface, the C1conformity of present elements is implemented on the selected Gauss-Lobatto nodes, which had been found to be able to produce very fast convergence. Nodal variables including second-order directional derivatives on surfaces are derived and used for element assembly. In this manner, direct construction of displacement fields on shell mid-surface defined by the quasi regional mapping is allowed. Several benchmark problems of large deformation analysis of isotropic and laminated thin shells are presented to illustrate the accuracy as well as robustness of the present method.
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影响因子：
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发表时间：
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影响因子：
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