Approximate solution of plane problems about stress concentrations in elastic bodies with voids

IF 1.4 4区工程技术 Q2 ENGINEERING, MULTIDISCIPLINARY

Journal of Engineering Mathematics Pub Date : 2024-02-01 DOI:10.1007/s10665-023-10313-3

Roman Janjgava

引用次数: 0

Abstract

The article considers the case of plane deformation for the Cowin–Nunziato linear model, which describes the static equilibrium of elastic bodies with voids. The general solution of the system of two-dimensional equations corresponding to this model is represented by any two harmonic functions and the solution of the Helmholtz equation. Based on the general solution and using the method of fundamental solutions, an algorithm is presented that allows one to approximately solve the corresponding boundary value problems. Approximate solutions of various boundary value problems for square domains with circular holes are constructed using this algorithm.

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有空隙弹性体应力集中平面问题的近似解法

文章考虑了 Cowin-Nunziato 线性模型的平面变形情况，该模型描述了带有空隙的弹性体的静态平衡。该模型对应的二维方程组的一般解由任意两个谐函数和亥姆霍兹方程的解表示。在一般解的基础上，利用基本解的方法，提出了一种可以近似求解相应边界值问题的算法。利用该算法构建了带有圆孔的方形域的各种边界值问题的近似解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Engineering Mathematics 工程技术-工程：综合

CiteScore

2.10

自引率

7.70%

发文量

审稿时长

6 months

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