Modeling of Surface Crack Advance in Round Wires Subjected to Cyclic Loading

J. Toribio, J. Matos, B. González, J. Escuadra
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Abstract

This paper shows the evolution of the surface crack front in round bars constituted of different materials (determined by the exponent m of the Paris law), subjected to fatigue tension loading (with free ends) or fatigue bending loading. To this end, a numerical modeling was developed on the basis of a discretization of the crack front (characterized with elliptical shape) and the crack advance at each point perpendicular to such a front, according to a Paris-Erdogan law, using a three-parameter stress intensity factor (SIF). Each analyzed case was characterized by the evolution of the semielliptical crack front, studying the progress with the relative crack depth a/D of the following three key variables: (i) crack aspect ratio a/b (relation between the semiaxes of the ellipse which defines the crack front); (ii) maximum dimensionless SIF; and (iii) minimum dimensionless SIF.
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循环载荷作用下圆钢丝表面裂纹发展的建模
本文给出了由不同材料构成的圆杆(由Paris定律的m指数决定)在疲劳拉伸载荷(带自由端)和疲劳弯曲载荷作用下表面裂纹前缘的演化过程。为此,根据Paris-Erdogan定律,采用三参数应力强度因子(SIF),在裂缝前沿(以椭圆形状为特征)和垂直于裂缝前沿的每个点的裂缝推进离散化的基础上,建立了数值模型。每个分析案例都以半椭圆裂纹前沿的演化特征为特征,研究了以下三个关键变量随相对裂纹深度a/D的演化过程:(i)裂纹长径比a/b(定义裂纹前沿的椭圆半轴之间的关系);(ii)最大无因次SIF;(iii)最小无因次SIF。
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