Selective cell-based smoothed finite element method using 10-node tetrahedral elements for large deformation of nearly incompressible solids
Selective cell-based smoothed finite element method using 10-node tetrahedral elements for large deformation of nearly incompressible solids
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通讯作者：
Yuki Onishi
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作者：
Yuki Onishi
提出了一种新的光滑有限单元法（S-FEM），该方法采用10节点四面体单元（SelectiveCS-FEM-T10）。在所提出的方法中，每个T10单元被划分为T4子单元，并且仅在每个T10单元内执行应变平滑，这意味着没有跨单元的应变平滑。此外，所提出的方法利用选择性约简积分（SRI）技术的应力集成。因此，该方法避免了体积锁定和压力棋盘在几乎不可压缩的材料。算例分析表明，该方法在近不可压缩材料大变形分析中具有良好的精度和鲁棒性。
A novel smoothed finite element method (S-FEM) using 10-node tetrahedral (T10) elements, SelectiveCS-FEM-T10, is proposed. In the proposed method, each T10 element is divided into T4 subelements and the strain smoothing is performed only within each T10 element, meaning no strain smoothing across elements. Also, the proposed method utilizes the selective reduced integration (SRI) technique for the stress integration. As a result, the proposed method avoids volume locking and pressure checkerboarding in nearly incompressible materials. A few examples of analysis reveal that the proposed method has good accuracy and robustness in large deformation analyses of nearly incompressible materials.