TY - GEN
T1 - Boundary conditions for axisymmetric circular cylinder of cubic quasicrystal
AU - Zhao, Bao Sheng
AU - Yang, Gao
AU - Zhao, Ying Tao
PY - 2011
Y1 - 2011
N2 - Through generalizing the method of a decay analysis technique determining the interior solution developed by Gregory and Wan, a set of necessary conditions on the end-data of axisymmetric circular cylinder in cubic quasicrystal for the existence of a rapidly decaying solution is established. By accurate solutions for auxiliary regular state, using the reciprocal theorem, these necessary conditions for the end-data to induce only a decaying elastostatic state (boundary layer solution) will be translated into appropriate boundary conditions for the circular cylinder with axisymmetric deformations in cubic quasicrystal. The results of the present paper enable us to establish a set of correct boundary conditions, and mix boundary conditions of which are obtained for the first time.
AB - Through generalizing the method of a decay analysis technique determining the interior solution developed by Gregory and Wan, a set of necessary conditions on the end-data of axisymmetric circular cylinder in cubic quasicrystal for the existence of a rapidly decaying solution is established. By accurate solutions for auxiliary regular state, using the reciprocal theorem, these necessary conditions for the end-data to induce only a decaying elastostatic state (boundary layer solution) will be translated into appropriate boundary conditions for the circular cylinder with axisymmetric deformations in cubic quasicrystal. The results of the present paper enable us to establish a set of correct boundary conditions, and mix boundary conditions of which are obtained for the first time.
KW - Cubic quasicrystal
KW - The axisymmetric deformation
KW - The boundary condition
KW - The circular cylinder
KW - The decaying elastostatic state
UR - https://www.scopus.com/pages/publications/78650936729
U2 - 10.4028/www.scientific.net/AMR.160-162.204
DO - 10.4028/www.scientific.net/AMR.160-162.204
M3 - Conference contribution
AN - SCOPUS:78650936729
SN - 9780878492169
T3 - Advanced Materials Research
SP - 204
EP - 209
BT - Materials Science and Engineering Applications
T2 - 2011 International Conference on Materials Science and Engineering Applications, ICMSEA 2011
Y2 - 15 January 2011 through 16 January 2011
ER -