Surface energy effects on the yield strength of nanoporous materials containing nanoscale cylindrical voids

T. Goudarzi, R. Avazmohammadi, R. Naghdabadi

Research output: Contribution to journalArticlepeer-review

34 Scopus citations


Surfaces and interfaces behave differently from their bulk counterparts especially when the dimensions approach small scales. The recent studies have shown that the surface/interface free energy (surface stress) plays an important role in the effective mechanical properties of solids with nanosized inhomogeneities. In this work, within a micromechanical framework, the effect of surface stress is taken into account to obtain a macroscopic yield function for nanoporous materials containing cylindrical nanovoids. Gurtin-Murdoch model of surface elasticity is incorporated in the generalized self-consistent method to obtain a closed-form expression for the transverse shear modulus of transversely isotropic nanoporous materials. Using the transverse shear modulus of a nanoporous material along with the other effective elastic properties, an energy-type overall yield function for such a nanoporous material is derived. Additionally, performing numerical examples for various loading cases, it is shown that the surface stress has a significant influence on the yield surfaces of the nanoporous material comprised of compressible/incompressible matrices, especially for voids radii less than 10 nm.

Original languageEnglish (US)
Pages (from-to)852-862
Number of pages11
JournalMechanics of Materials
Issue number9
StatePublished - Sep 2010


  • Cylindrical nanovoids
  • Nanoporous materials
  • Surface energy
  • Surface stress
  • Yield function

ASJC Scopus subject areas

  • Materials Science(all)
  • Instrumentation
  • Mechanics of Materials


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