TY - GEN
T1 - The exact deformation theory of two-dimensional dodecagonal quasicrystal shaft
AU - Zhao, Bao Sheng
AU - Zhao, Ying Tao
AU - Gao, Yang
PY - 2011
Y1 - 2011
N2 - Cheng's refined theory is extended to investigate torsional circular shaft of two-dimensional dodecagonal quasicrystal (2D dodecagonal QCs), and Lur'e 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.
AB - Cheng's refined theory is extended to investigate torsional circular shaft of two-dimensional dodecagonal quasicrystal (2D dodecagonal QCs), and Lur'e 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.
KW - Mechanical behavior
KW - The circular shaft
KW - The deformation analysis
KW - The torsional deformation
KW - Two-dimensional dodecagonal quasicrystal
UR - http://www.scopus.com/inward/record.url?scp=79952433165&partnerID=8YFLogxK
U2 - 10.4028/www.scientific.net/AMR.213.276
DO - 10.4028/www.scientific.net/AMR.213.276
M3 - Conference contribution
AN - SCOPUS:79952433165
SN - 9783037850619
T3 - Advanced Materials Research
SP - 276
EP - 280
BT - Advanced Materials Research
T2 - 2011 International Conference on Advanced Material Research, ICAMR 2011
Y2 - 21 January 2011 through 23 January 2011
ER -