首页|考虑棘轮行为的U75V缺口圆棒局部应力-应变分析

考虑棘轮行为的U75V缺口圆棒局部应力-应变分析

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本文通过对U75V钢缺口圆棒在单轴非对称应力控制循环载荷作用下循环变形行为的有限元模拟,分析了缺口局部的应力-应变分布及演化情况,研究了缺口弹塑性应力与应变集中系数随循环周次的变化规律,讨论了Neuber准则对考虑棘轮行为的缺口局部应力-应变分析的适用性.结果表明:在循环变形过程中,缺口根部的局部应力产生松弛现象,应力集中系数随循环次数的增加而减小;棘轮应变主要集中在缺口位置,应变集中系数随循环次数的增加而增大;应力集中系数与应变集中系数乘积的平方根随循环次数的增加而逐步增大,并且明显不同于理论应力集中系数.这说明,在缺口根部出现明显的棘轮行为时,使用Neuber准则无法对缺口的局部应力应变行为进行准确描述.
Numerical Analysis on the Local Stress-strain Response of U75V Notched Bar Considering Ratchetting
The ratchetting-fatigue interaction of engineering materials has been extensively investiga-ted in the recent decades.However,as an essential engineering problem,the fatigue failure of notched components with ratchetting has not yet been well touched.It is known that the local stress/strain field at the notch root is a prerequisite for further fatigue life assessment.Neuber's rule is a widely used semi-ana-lytical method for predicting the local stress/strain at the notch root,but its feasibility is not verified when remarkable ratchetting occurs at the root.Therefore,in this work,the cyclic deformation of a notched bar made of U75V steel under asymmetrically uniaxial stress-controlled cyclic loading is simulated using the fi-nite element method.A cyclic elasto-plastic constitutive model is selected and verified according to the ex-perimental results of U75V steel.A UMAT subroutine is developed and implanted into the finite element software Abaqus.Based on the simulation,the stress/strain distributions and corresponding stress/strain concentration coefficients at the notch root,as well as their evolutions during cyclic deformation,are stud-ied.Then,the applicability of Neuber's rule to analyze the local stress-strain response at the notch root of notched components is discussed,taking ratchetting into consideration.The results show that during cy-clic deformation,the local stress at the notch root is relaxed,and the stress concentration coefficient de-creases accordingly.Meanwhile,the ratchetting strain becomes concentrated at the notch root,and the strain concentration coefficient increases with the number of cycles.The geometric mean of stress and strain concentration coefficients also gradually increases with the number of cycles,significantly differing from the theoretical stress concentration coefficients.This suggests that Neuber's rule cannot accurately describe the stress-strain response at the notch root of notched components when significant ratchetting be-havior occurs.Therefore,modifications should be made to Neuber's rule to expand its application scope.

notched barstress concentration coefficientstrain concentration coefficientstress re-laxationNeuber's rule

瞿开城、罗会亮、阚前华、康国政

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应用力学与结构安全四川省重点实验室,西南交通大学力学与航空航天学院,成都,610031

缺口圆棒 应力集中系数 应变集中系数 应力松弛 Neuber准则

国家自然科学基金项目

12072295

2024

固体力学学报
中国力学学会

固体力学学报

CSTPCD北大核心
影响因子:0.605
ISSN:0254-7805
年,卷(期):2024.45(3)