TY - JOUR
T1 - Fibrous nanocomposites with interface stress
T2 - Hill's and Levin's connections for effective moduli
AU - Chen, Tungyang
AU - Dvorak, George J.
N1 - Funding Information:
The authors appreciate useful discussions of the subject with Professor Yakov Benveniste. This work was initiated while one of the authors (T.C.) was on a summer visit to RPI. The authors were both supported by Grant No. CMS-0409476 from the National Science Foundation. Financial supports to one of the authors (T.C.) were also provided by the U.S. Army Asian Research Office, through an Invitational Travel Order, W2621505IT5045, and from the National Science Council, Taiwan, under Contract No. NSC 93-2211-E006-005.
PY - 2006/5/21
Y1 - 2006/5/21
N2 - We study the macroscopic behavior of solids containing circular cylindrical nanoinclusions of the same size with surface effects prevailing at interfaces. The overall thermomechanical properties of these solids are shown to comply with two sets of exact connections. The first set, similar to Hill's universal connections, provides two constraints among the three axisymmetric overall elastic moduli. The second set relates the effective coefficients of thermal expansion to the effective moduli, in analogy with Levin's formula. In contrast to the classical results, the presence of surface effects makes both sets of connections dependent on the absolute size of the nanoinclusions.
AB - We study the macroscopic behavior of solids containing circular cylindrical nanoinclusions of the same size with surface effects prevailing at interfaces. The overall thermomechanical properties of these solids are shown to comply with two sets of exact connections. The first set, similar to Hill's universal connections, provides two constraints among the three axisymmetric overall elastic moduli. The second set relates the effective coefficients of thermal expansion to the effective moduli, in analogy with Levin's formula. In contrast to the classical results, the presence of surface effects makes both sets of connections dependent on the absolute size of the nanoinclusions.
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U2 - 10.1063/1.2206132
DO - 10.1063/1.2206132
M3 - Article
AN - SCOPUS:33744504742
SN - 0003-6951
VL - 88
JO - Applied Physics Letters
JF - Applied Physics Letters
IS - 21
M1 - 211912
ER -