Dynamic Singular Stresses for a Griffith Crack in a Soft Ferromagnetic Elastic Solid Subjected to a Uniform Magnetic Field
Dynamic Singular Stresses for a Griffith Crack in a Soft Ferromagnetic Elastic Solid Subjected to a Uniform Magnetic Field
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DOI：
10.1115/1.3167016
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发表时间：
1983-03
期刊：
影响因子：
--
通讯作者：
Y. Shindo
中科院分区：
文献类型：
--
作者：
Y. Shindo
研究了垂直入射纵波对无限大软铁磁弹性体中Griffith裂纹的绕射问题。假设固体是均匀的各向同性固体，并被垂直于裂纹表面的均匀静磁场所渗透。傅立叶变换被用来减少问题的两个同时的对偶积分方程。积分方程的解表示为具有有限积分核的第二类Fredholm积分方程。得到了裂纹尖端附近的动态奇异应力场，并以图形的形式详细地显示了磁场对动态应力强度因子的影响。近似的解析表达式在低频率下有效，也得到了这些表达式的有效性范围进行了检查。
The problem of the diffraction of normally incident longitudinal waves on a Griffith crack located in an infinite soft ferromagnetic elastic solid is considered. It is assumed that the solid is a homogeneous and isotropic one and is permeated by a uniform magnetostatic field normal to the crack surfaces. Fourier transforms are used to reduce the problem to two simultaneous dual integral equations. The solution to the integral equations is expressed in terms of a Fredholm integral equation of the second kind having the kernel that is a finite integral. The dynamic singular stress field near the crack tip is obtained and the influence of the magnetic field on the dynamic stress intensity factor is shown graphically in detail. Approximate analytical expressions valid at low frequencies are also obtained and the range of validity of these expressions is examined.