TY - JOUR
T1 - Effective elastic properties of doubly periodic array of inclusions of various shapes by the boundary element method
AU - Dong, C. Y.
PY - 2006/12
Y1 - 2006/12
N2 - A rectangular cell of known boundary conditions is cut out from a medium containing the doubly periodic array of inclusions. The stress and strain relationship of the rectangular cell is obtained by using the classical boundary element methods. By matching the boundary condition requirements, the effective elastic properties of the doubly periodic array of inclusions can then be calculated. Numerical examples from the sub-domain boundary element method and the single domain boundary element method are compared and discussed. However, the present method cannot be readily extended to domains having circular or curved boundary parts.
AB - A rectangular cell of known boundary conditions is cut out from a medium containing the doubly periodic array of inclusions. The stress and strain relationship of the rectangular cell is obtained by using the classical boundary element methods. By matching the boundary condition requirements, the effective elastic properties of the doubly periodic array of inclusions can then be calculated. Numerical examples from the sub-domain boundary element method and the single domain boundary element method are compared and discussed. However, the present method cannot be readily extended to domains having circular or curved boundary parts.
KW - Boundary element method
KW - Doubly periodic inclusions
KW - Effective elastic properties
UR - http://www.scopus.com/inward/record.url?scp=33750320511&partnerID=8YFLogxK
U2 - 10.1016/j.ijsolstr.2006.04.009
DO - 10.1016/j.ijsolstr.2006.04.009
M3 - Article
AN - SCOPUS:33750320511
SN - 0020-7683
VL - 43
SP - 7919
EP - 7938
JO - International Journal of Solids and Structures
JF - International Journal of Solids and Structures
IS - 25-26
ER -