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Green’s functions for infinite planes and half-planes consisting of quasicrystal bi-materials

Green’s functions for infinite planes and half-planes consisting of quasicrystal bi-materials
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摘要 This paper deals with the combination of point phonon and phason forces applied in the interior of infinite planes and half-planes of 1D quasicrystal bi-materials. Based on the general solution of quasicrystals, a series of displacement functions are adopted to obtain Green's functions for infinite planes and bi-material planes composed of two half-planes in the closed form, when the two half-planes are supposed to be ideally bonded or to be in smooth contact. Since the physical quantities can be readily calculated without the need of performing any transform operations, Green's functions are very convenient to be used in the study of point defects and inhomogeneities in the quasicrystal materials. This paper deals with the combination of point phonon and phason forces applied in the interior of infinite planes and half-planes of 1D quasicrystal bi-materials. Based on the general solution of quasicrystals, a series of displacement functions are adopted to obtain Green's functions for infinite planes and bi-material planes composed of two half-planes in the closed form, when the two half-planes are supposed to be ideally bonded or to be in smooth contact. Since the physical quantities can be readily calculated without the need of performing any transform operations, Green's functions are very convenient to be used in the study of point defects and inhomogeneities in the quasicrystal materials.
作者 Yang GAO
出处 《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》 SCIE EI CAS CSCD 2010年第10期835-840,共6页 浙江大学学报(英文版)A辑(应用物理与工程)
基金 Project supported by the National Natural Science Foundation of China (No 10702077) the Alexander von Humboldt Foundation in Germany
关键词 Green’s functions 1D quasicrystal Infinite planes Half-planes Bi-materials 准晶材料 材料组成 半平面 飞机 无穷 格林函数 组合应用 封闭形式
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参考文献16

  • 1Chen, W.Q., Ma, Y.L., Ding, H.J., 2004. On three-dimensional elastic problems of one-dimensional hexagonal quasicrystal bodies. Mechanics Research Communications, 31(6):633-641. [doi: 10.1016/j.maehrescom.2004.03.007].
  • 2Ding, D.H., Yang, W.G., Hu, C.Z, Wang, R.H., 1993. Generalized elasticity theory of quasicrystals. Physical Review B, 48(10):7003-7010. [doi: 10.1103/PhysRevB.48.7003].
  • 3Ding, H.J., Chen, B., Liang, J., 1996. General solutions for coupled equations for piezoelectric media. International Journal of Solids and Structures, 33(16):2283-2298. [doi: 10.1016/0020-7683(95)00152-2].
  • 4Ding, H.J., Chen, B., Liang, J., 1997a. On the Green's function for two-phase transversely isotropic piezoelectric media. International Journal of Solids and Structures, 34(23): 3041-3057. [doi:10.10161S0020-7683(96)00201-6].
  • 5Ding, H.J., Wang, C.Q., Chen, W.Q., 1997b. Green's functions for a two-phase infinite piezoelectric plane. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 453(1966):2241-2257. [doi:10.1098/ rspa.1997.0120].
  • 6Fan, T.Y., Mai, Y.W., 2004. Elasticity theory, fracture mechanics, and some relevant thermal properties of quasicrystalline materials. Applied Mechanics Reviews, 57(5): 325-343. [doi:10.1115/1.1763591].
  • 7Gao, Y., Zhao, B.S., 2006. A general treatment of three- dimensional elasticity of quasicrystals by an operator method. Physica Status Solidi (B), 243(15):4007-4019. [doi:10.1002/pssb.200541400].
  • 8Gao, Y., Xu, B.X., Zhao, B.S., Chang, T.C., 2008. New general solutions of plane elasticity of one-dimensional quasicrystals. Physica Status Solidi (B), 245(1 ):20-27. [doi: 10. 10021pssb.200642607].
  • 9Hu, C.Z., Wang, R.H., Ding, D.H., 2000. Symmetry groups, physical property tensors, elasticity and dislocations in quasicrystals. Reports on Progress in Physics, 63(1): 1-39. [doi:10.1088/0034-4885/63/1/201].
  • 10Huang, K.F., Wang, M.Z., 1991. Fundamental solution of bi-material elastic space. Science in China Series A: Mathematics Physics Astronomy & TechnologicalSciences, 34(3):309-315.

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