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Analysis on the propagation of Griffith crack in a magnetoelastic self-reinforced strip subjected to moving punch of constant load
Archive of Applied Mechanics ( IF 2.2 ) Pub Date : 2020-09-29 , DOI: 10.1007/s00419-020-01789-x
Moumita Mahanty , Pulkit Kumar , Abhishek Kumar Singh , Amares Chattopadhyay

The present study analysed the characteristics of a moving Griffith crack in a self-reinforced strip of finite thickness and infinite extent with the moving parallel punches of constant load acting on the boundaries of the strip at both sides due to the propagation of magnetoelastic plane waves under mechanical point loading. With the aid of integral transform technique, problem has been reduced to the pair of simultaneous singular integral equations with Cauchy-type singularities. The point load at the edge of the moving crack is considered in terms of Dirac delta function, and the expression of stress intensity factor (SIF) at the crack tip with constant point loading has been established in closed form by using the well-known properties of Hilbert transformation. Moreover, some of the special cases have been deduced from the obtained expression of SIF for the force of constant intensity, without punch pressure and anisotropy in the considered strip. Numerical computations and graphical demonstrations have been carried out to observe the profound effect of magnetoelastic coupling parameter, punch pressure, crack length, distinct positions of point load and the velocity of crack associated with magnetoelastic plane wave on SIF for self-reinforced materials and isotropic material strip. A comparative study of SIF at the tip of moving crack has been made for the self-reinforced and isotropic materials to highlight some of the important peculiarities of the problem.



中文翻译:

恒载荷移动冲头在磁弹性自增强带中格里菲斯裂纹扩展的分析

本研究分析了在有限厚度和无限程度的自增强带材中移动的Griffith裂纹的特性,其中恒定载荷的平行移动冲头作用于带材边界上的两侧,这归因于磁弹性平面波的传播。机械点加载。借助积分变换技术,问题已被简化为一对具有柯西型奇异性的联立奇异积分方程。考虑狄拉克δ函数,考虑了运动裂纹边缘的点载荷,并通过利用众所周知的特性,以恒定形式建立了具有恒定点载荷的裂纹尖端处的应力强度因子(SIF)的表达式。希尔伯特变换。此外,从获得的SIF表达式中,可以得出一些特殊情况,即恒定强度的力,在所考虑的钢带中没有冲头压力和各向异性。通过数值计算和图形演示,观察了自增强材料和各向同性材料在SIF上磁弹性耦合参数,冲头压力,裂纹长度,点载荷的不同位置以及与磁弹性平面波有关的裂纹速度的深刻影响。跳闸。对自增强材料和各向同性材料在移动裂纹尖端处的SIF进行了比较研究,以突出该问题的一些重要特征。通过数值计算和图形演示,观察了自增强材料和各向同性材料在SIF上磁弹性耦合参数,冲头压力,裂纹长度,点载荷的不同位置以及与磁弹性平面波有关的裂纹速度的深刻影响。跳闸。对自增强材料和各向同性材料在移动裂纹尖端处的SIF进行了比较研究,以突出该问题的一些重要特征。通过数值计算和图形演示,观察了自增强材料和各向同性材料在SIF上磁弹性耦合参数,冲头压力,裂纹长度,点载荷的不同位置以及与磁弹性平面波有关的裂纹速度的深刻影响。跳闸。对自增强材料和各向同性材料在移动裂纹尖端处的SIF进行了比较研究,以突出该问题的一些重要特征。

更新日期:2020-09-29
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