Chhillar Ajay, Singh Rajender, Sharma Prabhakar, Asiri Abdullah Naser M, Islam Saiful, Razak Abdul
Department of Mechanical Engineering, Delhi Skill and Entrepreneurship University, Delhi 110077, India.
Department of Mechanical Engineering, DCRUST Murthal, Sonipat, Haryana 131039, India.
ACS Omega. 2023 Sep 5;8(37):33493-33513. doi: 10.1021/acsomega.3c03295. eCollection 2023 Sep 19.
The use of finite element method-based approaches has been popular in studying the elastoplastic behavior of metal parts. However, there has been a growing demand for meshless methods. In response, researchers have developed a meshless solution for 2D elastoplastic evaluation of metal components. This approach obtains the locally symmetric weak form of the governing elastoplastic integral equations at each node throughout the problem area and boundary. The elastoplastic constitutive relationships consider a small deformation rate independent associative flow theory applicable to isotropic hardening materials. The proposed solution algorithm can handle loading, unloading, and reverse loading. Numerical results were computed using Gaussian and spline weight functions, and the presented meshless solution proved to be robust and accurate for conducting the elastoplastic investigation of metallic parts. Furthermore, the Gaussian weight function was found to be more robust than the spline weight function. In conclusion, this paper presents a reliable meshless solution for elastoplastic analysis and highlights the advantages of using Gaussian weight functions.
基于有限元方法的途径在研究金属零件的弹塑性行为方面一直很流行。然而，对无网格方法的需求一直在增长。作为回应，研究人员开发了一种用于金属部件二维弹塑性评估的无网格解决方案。这种方法在整个问题区域和边界的每个节点处获得控制弹塑性积分方程的局部对称弱形式。弹塑性本构关系考虑了适用于各向同性强化材料的小变形率独立关联流动理论。所提出的求解算法可以处理加载、卸载和反向加载。使用高斯和样条权重函数计算了数值结果，并且所提出的无网格解决方案在进行金属零件的弹塑性研究时被证明是稳健且准确的。此外，发现高斯权重函数比样条权重函数更稳健。总之，本文提出了一种用于弹塑性分析的可靠无网格解决方案，并突出了使用高斯权重函数的优点。
