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首页> 外文期刊>International journal of computational methods >A Locking-Free Face-Based S-FEM via Averaging Nodal Pressure using 4-Nodes Tetrahedrons for 3D Explicit Dynamics and Quasi-statics
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A Locking-Free Face-Based S-FEM via Averaging Nodal Pressure using 4-Nodes Tetrahedrons for 3D Explicit Dynamics and Quasi-statics

机译：通过4个节点Tetrahedrons进行3D显式动态和准静态，通过平均Nodal压力来平均基于锁基的S-FEM。

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摘要

A locking-free face-based S-FEM, combined with the Averaging Nodal Pressure (ANP) technique, is proposed to solve explicit dynamics of geometric nonlinear nearly-incompressible solids, using simplest linear tetrahedral elements (FS-FEM/ANP-T4). An explicit Adaptive Dynamic Relaxation (ADR) technique is also implemented for the analysis of quasi-static problems. Our studies have found that the proposed method has better accuracy and convergence compared to the standard FEM with ANP (FEM/ANP) and previous selective face-based and Node-based S-FEM (FS/NS-FEM). With the ADR, proposed method can reach the nonlinear quasi-static response much faster than the conventional explicit dynamic relaxation. No temporal instability is observed in FS-FEM/ANP-T4 in large deformation case. In addition, FS-FEM/ANP-T4 also equips the robustness against mesh distortion as FS/NS-FEM but uses less computational time. It has also been applied to solve a practical 3D problem, a rubber hanger for the car exhaust system. FS-FEM/ANP-T4 can be considered as an excellent numerical method other than FS/NS-FEM for simulating rubber-like materials.
机译：建议使用最简单的线性四面体元件（FS-FEM / ANP-T4）求解几何非线性接近不可压缩固体的显式动态的无锁基面基-FEM。 。还在实施明确的自适应动态松弛（ADR）技术中用于分析准静态问题。我们的研究发现，与具有ANP（FEM / ANP）和先前选择性的基于节点的S-FEM（FS / NS-FEM）相比，该方法的研究具有更好的准确性和收敛性。利用ADR，所提出的方法可以达到非线性准静态响应比传统的明确动态松弛更快。在大变形案例中，在FS-FEM / ANP-T4中没有观察到时间不稳定性。此外，FS-FEM / ANP-T4还将对网格失真的稳健性作为FS / NS-FEM，但使用较少的计算时间。它还应用于解决实际的3D问题，是汽车排气系统的橡胶衣架。 FS-FEM / ANP-T4可以被认为是除了用于模拟橡胶状材料的FS / NS-FEM之外的优异数值方法。

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