TY - JOUR
T1 - Computation of length scales for second-order laminated microstructure with surface energy
AU - Liu, Liying
AU - Li, Zhiping
N1 - Funding Information:
The research was supported in part by the Special Funds for Major State Basic Research Projects (2005CB321701), NSFC projects (10431050, 10571006 and 10528102) and RFDP of China.
PY - 2007/2
Y1 - 2007/2
N2 - A computational model for the total energy, including surface energy, of second-order laminated microstructures is proposed. By studying the minimization property of this energy, we can numerically reveal how the twin widths of a second-order laminated microstructure are related to the specimen's length and the surface energy density of a crystalline material. Numerical experiments on a two-dimensional Ericksen-James type elastic model for crystals show that the twin widths of the first and second-order laminates satisfy certain cubic rule.
AB - A computational model for the total energy, including surface energy, of second-order laminated microstructures is proposed. By studying the minimization property of this energy, we can numerically reveal how the twin widths of a second-order laminated microstructure are related to the specimen's length and the surface energy density of a crystalline material. Numerical experiments on a two-dimensional Ericksen-James type elastic model for crystals show that the twin widths of the first and second-order laminates satisfy certain cubic rule.
KW - Energy minimization
KW - Length scales
KW - Second-order laminated microstructure
KW - Surface energy density
UR - http://www.scopus.com/inward/record.url?scp=33750360952&partnerID=8YFLogxK
U2 - 10.1016/j.apm.2005.10.001
DO - 10.1016/j.apm.2005.10.001
M3 - Article
AN - SCOPUS:33750360952
SN - 0307-904X
VL - 31
SP - 245
EP - 258
JO - Applied Mathematical Modelling
JF - Applied Mathematical Modelling
IS - 2
ER -