A small-scale magnetic-yielding model for an infinite magnetostrictive plane with a crack-like flaw
A small-scale magnetic-yielding model for an infinite magnetostrictive plane with a crack-like flaw
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具有裂纹状缺陷的无限磁致伸缩平面的小尺度磁屈服模型
DOI：
10.1016/j.ijsolstr.2004.05.008
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发表时间：
2004-11
影响因子：
3.6
通讯作者：
Soh AK
中科院分区：
文献类型：
--
作者：
万永平 方岱宁;Soh AK
基于线性磁化的假设，通过测定无限大磁致伸缩平面内一个细长椭圆形裂纹尖端附近的局部应力场，研究了外加磁场对磁致伸缩材料断裂韧性的影响。在本文中，上述分析方法扩展到发展一个小规模的磁屈服模型。构造了细长椭圆裂纹尖端的磁饱和区，得到了裂纹尖端的磁场和磁化强度分布。基于复势理论，通过在磁饱和区和磁弹性区交界面上实现位移和合力的连续性条件，得到了细长椭圆裂纹尖端附近的应力场。对两种具有小感应磁致伸缩模量的软铁磁材料，得到了细长椭圆裂纹尖端附近的应力场。理论结果表明，即使椭圆裂纹扩展为尖裂纹，裂纹尖端附近的应力也是有限的，远小于材料的屈服应力或名义断裂应力。这表明，一般情况下，磁场对软铁磁材料的表观断裂韧性没有明显的影响，这与现有文献中发表的实验结果一致。此外，理论分析表明，没有裂纹是不透磁的，相应的边界条件是不合适的软铁磁材料的断裂分析。
The effect of an external magnetic field on the fracture toughness of magnetostrictive materials has been investigated by determining the local stress fields around the tip of a very slender elliptical flaw embedded in an infinite magnetostrictive plane subjected to magnetic loading, based on the assumption of linear magnetization. In this paper, the above-mentioned analytical approach is extended to develop a small-scale magnetic-yielding model. The magnetic saturation zone is constructed and the distributions of magnetic field and magnetization are obtained around the tip of a slender elliptical crack. Based on the complex potential theory, the stress field is obtained in the vicinity of the tip of the slender elliptical crack by implementing the continuity conditions of displacement and resultant force at the interface between the magnetic saturation and magnetoelastic zones. The stress fields near the tip of the slender elliptical crack are obtained for two kinds of soft ferromagnetic materials each with a small induction magnetostrictive modulus. The theoretical results obtained show that the stresses in the neighborhood of a crack-tip are finite even when the elliptical crack reduces to a sharp crack, and are much smaller than the yield stress or the nominal fracture stress of the material. This suggests that, generally, the magnetic field has no obvious effects on the apparent fracture toughness of soft ferromagnetic materials, which is in agreement with the existing experimental results published in the existing literature. In addition, the theoretical analysis illustrates that no crack is magnetically impermeable, and the corresponding boundary conditions are inappropriate for fracture analysis of soft ferromagnetic materials.
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DOI：
10.1046/j.1460-2695.2003.00707.x
发表时间：
2003-11
影响因子：
3.7
作者：
Y. Wan;D. Fang;A. Soh;K. Hwang
通讯作者：
Y. Wan;D. Fang;A. Soh;K. Hwang
DOI：
10.1115/1.3162073
发表时间：
1982-03
期刊：
Journal of Applied Mechanics
影响因子：
--
作者：
Y. Shindo
通讯作者：
Y. Shindo
影响因子：
3.2
作者：
Y. Wan;D. Fang;K. Hwang
通讯作者：
Y. Wan;D. Fang;K. Hwang
DOI：
10.1115/1.3167016
发表时间：
1983-03
期刊：
Journal of Applied Mechanics
影响因子：
--
作者：
Y. Shindo
通讯作者：
Y. Shindo
DOI：
10.1016/s1574-9304(05)80122-1
发表时间：
1980
期刊：
Handbook of Ferromagnetic Materials
影响因子：
--
作者：
A. Clark
通讯作者：
A. Clark