The Exact Deformation Theory of Two-Dimensional Dodecagonal Quasicrystal Shaft

摘要：

Chengs refined theory is extended to investigate torsional circular shaft of two-dimensional dodecagonal quasicrystal (2D dodecagonal QCs), and Lure method about harmonic function is extended to harmonic function in the respective cylindrical coordinate. The exact deformation of torsional circular shaft of 2D dodecagonal QCs under reverse direction surface loading is proposed on the basis of the classical elasticity theory and stress-displacement relations of 2D dodecagonal QCs, and the exact deformation theory provides the solutions about torsional deformation of a circular shaft without ad hoc assumptions. Exact solutions are obtained for circular shaft from boundary conditions. Using Taylor series of the Bessel functions and then dropping all the terms associated with the higher-order terms, we obtain the approximate expressions for circular shaft of 2D dodecagonal QCs under reverse direction surface. To illustrate the application of the theory developed, one example is examined.

关键词： two-dimensional dodecagonal quasicrystal mechanical behavior the deformation analysis the torsional deformation the circular shaft

作者: BAO-SHENG ZHAO YING-TAO ZHAO YANG GAO

作者单位: School of Mechanical Engineering, University of Science and Technology Liaoning, Anshan,114051, PR C Department of Applied Mechanics, School of Aerospace Engineering, Beijing Institute of Technology, B College of Science, China Agricultural University, Beijing,100083, PR China

会议类型: 国际会议

会议名称: 2011 International Conference on Advanced Material Research(ICAMR 2011)(2011年先进材料研究国际会议)

会议地点: 重庆

会议语种:英文

页码: 276-280

在线出版日期: 2011-01-21（万方平台首次上网日期，不代表论文的发表时间）