Application of method of fundamental solutions for elasto-plastic torsion of prismatic rods

Jan Adam Kolodziej; Piotr Gorzelanczyk

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Application of method of fundamental solutions for elasto-plastic torsion of prismatic rods

机译：棱柱杆弹塑性扭转基本解法的应用

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In this paper torsion of prismatic bars considering elastic-plastic material behavior is studied. Based on the Saint-Venant displacement assumption and deformation theory of plasticity for stress-strain relation the boundary value non-linear problem for stress function is formulated. The purpose of our paper is application of method fundamental solution (MFS) and radial basic function (RBF) for solution of this problem. The non-linear torsion problem in plastic region is solved by means of the Picard iteration. Proposed algorithm is based on solution of the linear Poisson equation on each iteration steps.

机译：本文研究了考虑弹塑性材料行为的棱柱杆的扭转。基于Saint-Venant位移假设和塑性变形理论的应力-应变关系，提出了应力函数的边值非线性问题。本文的目的是应用方法基本解（MFS）和径向基函数（RBF）来解决该问题。通过皮卡德迭代解决了塑性区域中的非线性扭转问题。所提出的算法基于每个迭代步骤上线性泊松方程的解。

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来源
《Engineering analysis with boundary elements》 |2012年第2期|p.81-86|共6页
作者
Jan Adam Kolodziej; Piotr Gorzelanczyk;
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作者单位

Institute of Applied Mechanics, Poznan University of Technology, ul. Piotrowo 3, 60-965 Poznan, Poland;

Polytechnic Institute, Higher Vocational State School Pila, ul. Podchorazych 10, 64-920 Pila, Poland;

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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
elastic-plastic torsion; method of fundamental solutions; radial basis functions; deformation theory of plasticity; work-hardening material; picard iteration method;

机译：弹塑性扭转基本解决方法;径向基函数;可塑性变形理论;工作硬化材料;皮卡德迭代法;

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专利

1. Some remarks concerning the shape of the source contour with application of the method of fundamental solutions to elastic torsion of prismatic rods [J] . Piotr Gorzelanczyk, Jan A. Kolodziej Engineering analysis with boundary elements . 2008,第1期

机译：关于棱柱杆弹性扭转基本解法的应用中有关源轮廓形状的一些评论
2. Application of radial basis functions to the problem of elasto-plastic torsion of prismatic bars [J] . Faisal M. Mukhtar, Husain J. Al-Gahtani Applied Mathematical Modelling . 2016,第1期

机译：径向基函数在棱柱杆弹塑性扭转问题中的应用
3. NUMERICAL METHODS FOR DETERMINING TORSIONAL STIFFNESS OF PRISMATIC RODS [J] . V.M. Uskov, A.V. Chedrik, V.V. Chedrik TsAGI science journal . 2017,第6期

机译：确定棱柱扭转刚度的数值方法
4. Implementation of the method of fundamental solutions and homotopy analysis method for solving a torsion problem of a rod made of functionally graded material [C] . USCILOWSKA Anita International Conference on Multi-Functional Materials and Structures . 2010

机译：用于解决功能梯度材料杆扭转问题的基础解决方案和同型谐波偶联问题方法的实现
5. A hybrid coarse and fine mesh solution method for prismatic high temperature gas-cooled reactor thermal-fluid analysis [D] . Clifford, Ivor D. 2013

机译：棱柱形高温气冷堆热流分析的混合粗细网格求解方法
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7. The application of RV Southwells' relaxation methods to the solution of problems in torsion of prismatic bars [O] . Leitner Murray Irving 1922- 1949

机译：RV Southwells松弛法在解决棱柱杆扭转问题中的应用
8. Torsion and bending of prismatic rods of hollow rectangular section [R] . Abramyan, B L 1951

机译：空心矩形截面棱柱杆的扭转和弯曲

Application of method of fundamental solutions for elasto-plastic torsion of prismatic rods

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