Application of radial basis functions to the problem of elasto-plastic torsion of prismatic bars

Faisal M. Mukhtar; Husain J. Al-Gahtani

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Application of radial basis functions to the problem of elasto-plastic torsion of prismatic bars

机译：径向基函数在棱柱杆弹塑性扭转问题中的应用

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摘要

This paper demonstrates the use of a well-known meshless method, radial basis functions (RBF), to solve the torsion of a prismatic bar having a rectangular/square cross-section. First part of the analysis deals with the elastic solution of the problem formulated using the RBF technique. The result is used in verifying the feasibility of the approach and, subsequently, as an initial guess for the iterative procedure utilized in the analysis of the elasto-plastic torsional behavior of the bar. Verification of the results is made using finite difference method (FDM1. method of fundamental solutions fMFSl and the exact elastic solution.

机译：本文演示了如何使用众所周知的无网格方法，径向基函数（RBF）来解决具有矩形/正方形横截面的棱柱杆的扭转问题。分析的第一部分涉及使用RBF技术制定的问题的弹性解。结果用于验证该方法的可行性，并随后作为对杆的弹塑性扭转行为分析中使用的迭代过程的初步猜测。使用有限差分法（FDM1。基本解法fMFS1和精确弹性解法）对结果进行验证。

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来源
《Applied Mathematical Modelling》 |2016年第1期|436-450|共15页
作者
Faisal M. Mukhtar; Husain J. Al-Gahtani;
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作者单位

Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Saudi Arabia;

Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Saudi Arabia;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Radial basis functions; Meshless methods; Elastoplasticity; Torsion;

机译：径向基函数;无网格方法;弹塑性扭转力;

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专利

1. Application of method of fundamental solutions for elasto-plastic torsion of prismatic rods [J] . Jan Adam Kolodziej, Piotr Gorzelanczyk Engineering analysis with boundary elements . 2012,第2期

机译：棱柱杆弹塑性扭转基本解法的应用
2. A constitutive model for shape memory polymers with application to torsion of prismatic bars [J] . Mostafa Baghani, Reza Naghdabadi, Jamal Arghavani, Journal of intelligent material systems and structures . 2012,第2期

机译：形状记忆聚合物的本构模型及其在棱柱杆扭转中的应用
3. Sobolev bounds on functions with scattered zeros, with applications to radial basis function surface fitting [J] . Narcowich FJ, Ward JD, Wendland H Mathematics of computation . 2005,第250期

机译：带零点的函数的Sobolev边界，适用于径向基函数曲面拟合
4. Application of cellular neural networks in stress analysis of prismatic bars subjected to torsion [C] . Krstic I., Reljin B., Kostic P., Chinese Control and Decision Conference . 2011

机译：细胞神经网络在扭转棱柱杆应力分析中的应用
5. Radial basis functions: Biomedical applications and parallelization. [D] . Liu, Ke. 2016

机译：径向基函数：生物医学应用和并行化。
6. Optimal Control of Time-Delay Fractional Equations via a Joint Application of Radial Basis Functions and Collocation Method [O] . Shu-Bo Chen, Samaneh Soradi-Zeid, Hadi Jahanshahi, 2020

机译：通过径向基函数和搭配方法的关节应用优化时滞分数方程的最佳控制
7. Elasto-plastic Stress Analysis of a Prismatic Bar under Combined Bending and Torsion [O] . Hiromasa ISHIKAWA 1973

机译：弯曲和扭转下棱柱形钢筋弹性塑性应力分析

Application of radial basis functions to the problem of elasto-plastic torsion of prismatic bars

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