TY - JOUR
T1 - Solids containing spherical nano-inclusions with interface stresses
T2 - Effective properties and thermal-mechanical connections
AU - Chen, Tungyang
AU - Dvorak, G. J.
AU - Yu, C. C.
N1 - Funding Information:
This work was completed while T. Chen was on a summer visit to RPI. GJD and TC were supported by the grant CMS-0409476 from the National Science Foundation. Financial supports to TC were also provided by the US Army Asian Research Office, through an Invitational Travel Order, W2621505IT5045, and from the National Science Council, Taiwan, under contract NSC 93-2211-E006-005.
PY - 2007/2
Y1 - 2007/2
N2 - This work examines the overall thermoelastic behavior of solids containing spherical inclusions with surface effects. Elastic response is evaluated as a superposition of separate solutions for isotropic and deviatoric overall loads. Using a variational approach, we construct the Euler-Lagrange equation together with the natural transition (jump) conditions at the interface. The overall bulk modulus is derived in a simple form, based on the construction of neutral composite sphere. The transverse shear modulus estimate is derived using the generalized self-consistent method. Further, we show that there exists an exact connection between effective thermal expansion and bulk modulus. This connection is valid not only for a composite sphere, but also for a matrix-based composite reinforced by many randomly distributed spheres of the same size, and can be viewed as an analog of Levin's formula for composites with surface effects.
AB - This work examines the overall thermoelastic behavior of solids containing spherical inclusions with surface effects. Elastic response is evaluated as a superposition of separate solutions for isotropic and deviatoric overall loads. Using a variational approach, we construct the Euler-Lagrange equation together with the natural transition (jump) conditions at the interface. The overall bulk modulus is derived in a simple form, based on the construction of neutral composite sphere. The transverse shear modulus estimate is derived using the generalized self-consistent method. Further, we show that there exists an exact connection between effective thermal expansion and bulk modulus. This connection is valid not only for a composite sphere, but also for a matrix-based composite reinforced by many randomly distributed spheres of the same size, and can be viewed as an analog of Levin's formula for composites with surface effects.
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U2 - 10.1016/j.ijsolstr.2006.05.030
DO - 10.1016/j.ijsolstr.2006.05.030
M3 - Article
AN - SCOPUS:33751007829
SN - 0020-7683
VL - 44
SP - 941
EP - 955
JO - International Journal of Solids and Structures
JF - International Journal of Solids and Structures
IS - 3-4
ER -