Elastic analysis of an elliptic notch in quasicrystals of point group 10 subjected to shear loading

doi:10.1088/1674-1056/19/4/046101

中国物理B ›› 2010, Vol. 19 ›› Issue (4): 46101-046101.doi: 10.1088/1674-1056/19/4/046101

Elastic analysis of an elliptic notch in quasicrystals of point group 10 subjected to shear loading

李联和

College of Mathematics Science, Inner Mongolia Normal University, Huhhot 010022, China

收稿日期:2009-04-14 修回日期:2009-07-09 出版日期:2010-04-15 发布日期:2010-04-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No.~10761005), by the Natural Science Foundation of Inner Mongolia of China (Grant Nos.~2009MS0102, 2009BS0101 and 2009BS0104), the Natural Science Foundation of Inner Mongolia N

Elastic analysis of an elliptic notch in quasicrystals of point group 10 subjected to shear loading

Li Lian-He(李联和)^†

College of Mathematics Science, Inner Mongolia Normal University, Huhhot 010022, China

Received:2009-04-14 Revised:2009-07-09 Online:2010-04-15 Published:2010-04-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No.~10761005), by the Natural Science Foundation of Inner Mongolia of China (Grant Nos.~2009MS0102, 2009BS0101 and 2009BS0104), the Natural Science Foundation of Inner Mongolia N

摘要/Abstract

摘要： Based on the stress potential and complex variable function method, this paper makes an elastic analysis of an elliptic notch subjected to uniform shear stress at infinity in quasicrystals with point group 10. With the aid of conformal transformation, an exact solution for the elliptic notch of the quasicrystals is obtained. The solution of the mode {\rm II} Griffith crack as a special case is constructed. The stress intensity factor and energy release rate have been also obtained as a direct result of the crack solution.

Abstract: Based on the stress potential and complex variable function method, this paper makes an elastic analysis of an elliptic notch subjected to uniform shear stress at infinity in quasicrystals with point group 10. With the aid of conformal transformation, an exact solution for the elliptic notch of the quasicrystals is obtained. The solution of the mode II Griffith crack as a special case is constructed. The stress intensity factor and energy release rate have been also obtained as a direct result of the crack solution.

Key words: quasicrystals, plane elasticity, elliptic notch, stress potential

中图分类号: (Elasticity)

62.20.D-

61.44.Br (Quasicrystals) 62.20.M- (Structural failure of materials) 81.40.Jj (Elasticity and anelasticity, stress-strain relations) 81.40.Np (Fatigue, corrosion fatigue, embrittlement, cracking, fracture, and failure)

李联和. Elastic analysis of an elliptic notch in quasicrystals of point group 10 subjected to shear loading[J]. 中国物理B, 2010, 19(4): 46101-046101.

Li Lian-He(李联和). Elastic analysis of an elliptic notch in quasicrystals of point group 10 subjected to shear loading[J]. Chin. Phys. B, 2010, 19(4): 46101-046101.

参考文献 21

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Elastic analysis of an elliptic notch in quasicrystals of point group 10 subjected to shear loading

Elastic analysis of an elliptic notch in quasicrystals of point group 10 subjected to shear loading

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