关于平面应力条件下模式 I 裂纹尖端附近的应力分布

IF 0.6 4区工程技术 Q4 MECHANICS

Mechanics of Solids Pub Date : 2025-03-22 DOI:10.1134/S0025654424700389

Y. N. Radayev

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引用次数: 0

摘要

本文研究了在平面应力条件下，完全塑性固体中法向拉伸裂纹（模式 I 裂纹）尖端附近跃迁区的应力分布数学模型。模型采用了 von Mises 屈服准则。根据问题的形式静力学公式（与运动方程无关），获得了计算裂纹尖端附近局部塑性区应力的精确公式。文章中获得的精确结果与 Hutchinson 于 1968 年给出的应力分布数值分析结果进行了比较。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

On Stress Distribution Near a Mode I Crack Tip under Plane Stress Conditions

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On Stress Distribution Near a Mode I Crack Tip under Plane Stress Conditions

The paper considers a mathematical model of stress distribution in the yeilding zone near the tip of a normal tensile crack (mode I crack) in a perfectly plastic solid under plane stress conditions. The von Mises yield criterion is adopted. Based on the formal statics formularion of the problem (indepentently of kinematical equations), exact formulas are obtained for calculating stresses within the plastic zone localized near the tip of the crack. A comparison of the exact results obtained in the article with the results of a numerical analysis of stress distribution given by Hutchinson in 1968 is presented.

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来源期刊

Mechanics of Solids 医学-力学

CiteScore

1.20

自引率

42.90%

发文量

112

审稿时长

6-12 weeks

期刊介绍： Mechanics of Solids publishes articles in the general areas of dynamics of particles and rigid bodies and the mechanics of deformable solids. The journal has a goal of being a comprehensive record of up-to-the-minute research results. The journal coverage is vibration of discrete and continuous systems; stability and optimization of mechanical systems; automatic control theory; dynamics of multiple body systems; elasticity, viscoelasticity and plasticity; mechanics of composite materials; theory of structures and structural stability; wave propagation and impact of solids; fracture mechanics; micromechanics of solids; mechanics of granular and geological materials; structure-fluid interaction; mechanical behavior of materials; gyroscopes and navigation systems; and nanomechanics. Most of the articles in the journal are theoretical and analytical. They present a blend of basic mechanics theory with analysis of contemporary technological problems.