Crack–inclusion problem for a long rectangular slab of superconductor under an electromagnetic force
Crack–inclusion problem for a long rectangular slab of superconductor under an electromagnetic force
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DOI：
10.1016/j.commatsci.2010.08.015
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发表时间：
2007-09
影响因子：
3.3
通讯作者：
Z. Gao;Youhe Zhou;K. Lee
中科院分区：
文献类型：
--
作者：
Z. Gao;Youhe Zhou;K. Lee
本文研究了第二类超导体中裂纹与夹杂的相互作用。用有限元法求解裂纹-夹杂问题。给出了电磁力作用下超导体断裂的数值结果。超导体的磁性行为用临界态Bean模型描述。得到了裂纹尖端的应力强度因子，并讨论了零场冷却后场减小的情况。数值结果表明，弹性夹杂的裂纹尖端应力强度因子总是大于刚性夹杂的裂纹尖端应力强度因子。由于刚性夹杂的阻挡作用，裂纹靠近夹杂时，应力强度因子值减小。相对于刚性夹杂和无夹杂情况，弹性夹杂导致裂纹尖端应力强度因子最大。因此，裂纹在弹性夹杂附近更容易扩展，刚性夹杂有助于裂纹止裂。
The interaction between a crack and an inclusion in a type-II superconductor is investigated in this paper. Using the finite element method, the crack–inclusion problem can be solved. Numerical results are presented to illustrate fracture behavior of superconductor under electromagnetic force. The magnetic behavior of the superconductor is described by the critical-state Bean model. The stress intensity factors at the crack tip are obtained and discussed for decreasing field after zero-field cooling. Numerical results show that the stress intensity factors at crack tip are always larger with an elastic inclusion than for a rigid inclusion. Because of the barrier effect of the rigid inclusion, the values of the stress intensity factors decrease when the crack approaches the inclusion. Relative to rigid inclusion and no inclusion cases, elastic inclusion leads to the largest value of the stress intensity factor at crack tip. Thus, the crack propagation is easier near an elastic inclusion and the rigid inclusion is helpful for crack arrest.