Parametric integral equation system (PIES) for 2D elastoplastic analysis

Agnieszka Boltuc

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Parametric integral equation system (PIES) for 2D elastoplastic analysis

机译：用于二维弹塑性分析的参数积分方程系统（PIES）

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摘要

The paper presents the formalism of the parametric integral equation system (PIES) for two-dimensional elastoplastic problems and the algorithm for its numerical solution. The efficiency of the proposed approach lies in the global modeling of a plastic zone, without classic discretization into elements, using surface patches popular in computer graphics. Lagrange polynomials with various number and arrangement of interpolation nodes are used to approximate plastic strains. Three test examples are solved and the obtained results are compared with analytical and numerical solutions.

机译：本文介绍了二维弹塑性问题的参数积分方程组（PIES）的形式主义及其数值解算法。所提出的方法的效率在于，使用计算机图形学中流行的表面补丁，对塑料区域进行全局建模，而无需将元素经典地离散化。具有不同数量和插值节点排列方式的Lagrange多项式用于近似塑性应变。解决了三个测试示例，并将获得的结果与解析解和数值解进行了比较。

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来源
《Engineering analysis with boundary elements》 |2016年第8期|21-31|共11页
作者
Agnieszka Boltuc;
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作者单位

Faculty of Mathematics and Informatics, University of Bialystok, K. Ciolkowskiego 1M, 15-245 Bialystok, 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
Plasticity; Nonlinear; Boundary value problems; Parametric integral equation system (PIES); Approximation;

机译：可塑性;非线性边值问题;参数积分方程系统（PIES）;近似;

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1. Parametric integral equations systems in 2D transient heat conduction analysis [J] . Eugeniusz Zieniuk, Dominik Sawicki, Agnieszka Boltuc International Journal of Heat and Mass Transfer . 2014,第nova期

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2. Parametric integral equation system (PIES) for solving problems with inclusions and non-homogeneous domains using Bezier surfaces [J] . Boltuc Agnieszka, Zieniuk Eugeniusz Journal of computational science . 2021,第Apra期

机译：使用Bezier表面解决夹杂物和非均匀域问题的参数积分方程系统（PIE）
3. Nonelement boundary representation with Bézier surface patches for 3D linear elasticity problems in parametric integral equation system (PIES) and its solving using Lagrange polynomials [J] . Zieniuk Eugeniusz, Szerszeń Krzysztof Numerical Methods for Partial Differential Equations: An International Journal . 2018,第1期

机译：与三维线性弹性问题的非元素边界表示，参数积分方程系统（PIES）中的3D线性弹性问题及其使用拉格朗日多项式解决
4. SHAPE OPTIMIZATION OF 2D ELASTIC STRUCTURES USING PARAMETRIC INTEGRAL EQUATIONS SYSTEM AND GENETIC ALGORITHMS [C] . Eugeniusz Zieniuk, Krzysztof Szerszen, Agnieszka Boltuc Modelling, identification, and control . 2008

机译：基于参数积分方程组和遗传算法的二维弹性结构形状优化
5. Surface impedance integral equations for quasistationary field analysis in axisymmetric systems. [D] . Jayatilaka, K. D. Himal C. 2004

机译：轴对称系统中准静态场分析的表面阻抗积分方程。
6. On the Integral Equations of Continuous Dynamical Systems [O] . W. H. Ingram 1944

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7. Boundary-Domain Integral Equation Systems to the Dirichlet and Neumann Problems for Compressible Stokes Equations with variable viscosity in 2D [O] . Tsegaye Ayele, Mulugeta Dagnaw, Sergey Mikhailov -1

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8. The Equivalence of Team Theory's Integral Equations and a Cauchy System: Sensitivity Analysis of a Variational Problem. [R] . Akbari, A., Hess, J., Kagiwada, H., 1977

机译：团队理论积分方程与Cauchy系统的等价性：变分问题的敏感性分析。

Parametric integral equation system (PIES) for 2D elastoplastic analysis

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