立方准晶材料中的运动螺型位错

基金项目: 国家自然科学基金资助项目(10372016)

Moving Screw Dislocation in Cubic Quasicrystal

1.
College of Mechanical & Electrical Engineering, Zhejiang University of Technology, Hangzhou 310032, P. R. China;

摘要: 发展了立方准晶的位错弹性理论．通过引入位移势函数，使得立方准晶的反平面弹性动力学问题归结为求解两个波动方程，得到了运动螺型位错的位移场、应力场与能量的解析表达式及运动位错的速度极限．这些为研究此固体材料的塑性变形的物理机理提供了重要的信息．
- 立方准晶 /
- 螺型位错 /
- 弹性场 /
- 反平面弹性问题
Abstract: The elasticity theory of the dislocation of cubic quasicrystals is developed.The governing equations of anti-plane elasticity dynamics problem of the quasicrystals were reduced to a solution of wave equations by introducing displacement functions,and the analytical expressions of displacements,stresses and energies induced by a moving screw dislocation in the cubic quasicrystalline and the velocity limit of the dislocation were obtained.These provide important information for studying the plastic deformation of the new solid material.
- cubic quasicrystal /
- screw dislocation /
- elasticity field /
- anti-plane elasticity problem

[1]	Shechtman D,Blech I,Gratias D,et al.Metallic phase with long-range orientational order and no translational symmetry[J].Physics Review Letter,1984,53(20):1951—1953. doi: 10.1103/PhysRevLett.53.1951
[2]	Levine D, Steinhardt P J.Quasicrystals: a new class of ordered structure[J].Physics Review Letter,1984,53(26):2477—2480. doi: 10.1103/PhysRevLett.53.2477
[3]	Ye H Q,Wang D N,Kuo K H.Five-fold symmetry in real and reciprocal spaces[J].Ultramicroscopy,1985,16(2):273—278. doi: 10.1016/0304-3991(85)90083-X
[4]	Zhang Z,Urban K.Transmission electron microscope observation of dislocation and stacking faults in adecagonal Al-Cu-Co alloy[J].Philosophical Magazine Letter,1989,60(1):97—102. doi: 10.1080/09500838908206442
[5]	Yang W G,Wang R H,Ding D H,et al.Linear elasticity theory of cubic quasicrystals[J].Physics Review B,1993,48(10):6999—7002. doi: 10.1103/PhysRevB.48.6999
[6]	范天佑.准晶数学弹性力学与缺陷力学[J].力学进展，2000，30(2)：161—172.
[7]	周旺民，尹姝媛，王念鹏.立方准晶中螺型位错的弹性场[J].河北建筑科技学院学报（自然版），2001，18(3):63—65.
[8]	Hirth J P,Lothe J.Theory of Dislocation[M].New York:McGraw-Hill Book Company,1968.