TY - JOUR
T1 - Boundary element analysis of nanoinhomogeneities of arbitrary shapes with surface and interface effects
AU - Dong, C. Y.
AU - Pan, E.
N1 - Funding Information:
The authors would like thank the reviewers for their constructive comments. This work was supported by the National Natural Science Foundation of China under Grant nos. 10772030 and 11072034 , the Cultivation Special Purpose Project of the Science and Technology Innovation Major Program of Beijing Institute of Technology, and the Bairen Program of Henan Province.
PY - 2011/8
Y1 - 2011/8
N2 - In this paper, a boundary element method (BEM) is proposed to analyze the stress field in nanoinhomogeneities with surface/interface effect. To consider this effect, the continuity conditions along the internal interfaces between the matrix and inhomogeneities are modeled by the well-known GurtinMurdoch constitutive relation. In the numerical analysis, the interface elastic moduli and the geometry of the nanoscale inhomogeneity are varied to show their influence on the induced stress field. The interaction between nanoscale inhomogeneities and the effect of different geometric shapes of inhomogeneities, including ellipse, triangle, and square are also investigated for different interface material parameters. It is shown that the elastic field can be greatly influenced by the interfacial energy and geometry of nanoscale inhomogeneities. The proposed BEM formulation is very general, including the complete GurtinMurdoch model and is further convenient for arbitrary shapes of inhomogeneity.
AB - In this paper, a boundary element method (BEM) is proposed to analyze the stress field in nanoinhomogeneities with surface/interface effect. To consider this effect, the continuity conditions along the internal interfaces between the matrix and inhomogeneities are modeled by the well-known GurtinMurdoch constitutive relation. In the numerical analysis, the interface elastic moduli and the geometry of the nanoscale inhomogeneity are varied to show their influence on the induced stress field. The interaction between nanoscale inhomogeneities and the effect of different geometric shapes of inhomogeneities, including ellipse, triangle, and square are also investigated for different interface material parameters. It is shown that the elastic field can be greatly influenced by the interfacial energy and geometry of nanoscale inhomogeneities. The proposed BEM formulation is very general, including the complete GurtinMurdoch model and is further convenient for arbitrary shapes of inhomogeneity.
UR - http://www.scopus.com/inward/record.url?scp=79954605569&partnerID=8YFLogxK
U2 - 10.1016/j.enganabound.2011.03.004
DO - 10.1016/j.enganabound.2011.03.004
M3 - Article
AN - SCOPUS:79954605569
SN - 0955-7997
VL - 35
SP - 996
EP - 1002
JO - Engineering Analysis with Boundary Elements
JF - Engineering Analysis with Boundary Elements
IS - 8
ER -