考虑裂纹曲率的位移不连续法

IF 0.3 Q4 MECHANICS

Moscow University Mechanics Bulletin Pub Date : 2023-08-15 DOI:10.3103/S0027133023030056

A. V. Zvyagin, D. D. Novov

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引用次数: 0

摘要

本文研究了考虑裂纹线曲率的平面断裂力学问题的位移不连续方法。本文给出了双调和函数的一些新的表示形式。这对于得到被圆弧形式的裂纹削弱的弹性平面问题的解析解是必要的。在这些解析解的基础上，提出了一种数值方法。将应力强度因子的数值与已知的解析值进行了比较。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Displacement Discontinuity Method Taking into Account the Curvature of the Crack

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Displacement Discontinuity Method Taking into Account the Curvature of the Crack

The paper is devoted to the development of the displacement discontinuity method for plane problems of fracture mechanics in consideration of the curvature of crack lines. In this paper, some new representations of biharmonic functions are found. This is necessary to obtain the analytical solutions of problems for an elastic plane weakened by a crack in the form of a circular arc. A numerical method is proposed on the basis of these analytical solutions. The numerical values of the stress intensity factor are compared with its known analytical value.

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来源期刊

Moscow University Mechanics Bulletin MECHANICS-

CiteScore

0.60

自引率

0.00%

发文量

期刊介绍： Moscow University Mechanics Bulletin is the journal of scientific publications, reflecting the most important areas of mechanics at Lomonosov Moscow State University. The journal is dedicated to research in theoretical mechanics, applied mechanics and motion control, hydrodynamics, aeromechanics, gas and wave dynamics, theory of elasticity, theory of elasticity and mechanics of composites.