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

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

Research output: Contribution to journalArticlepeer-review

62 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)941-955
Number of pages15
JournalInternational Journal of Solids and Structures
Volume44
Issue number3-4
DOIs
Publication statusPublished - 2007 Feb

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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