Solids containing spherical nano-inclusions with interface stresses: Effective properties and thermal-mechanical connections

Tungyang Chen, G. J. Dvorak, C. C. Yu

研究成果: Article同行評審

63 引文 斯高帕斯(Scopus)

摘要

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.

原文English
頁(從 - 到)941-955
頁數15
期刊International Journal of Solids and Structures
44
發行號3-4
DOIs
出版狀態Published - 2007 二月

All Science Journal Classification (ASJC) codes

  • Modelling and Simulation
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

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