An extended micromechanics method for probing interphase properties in polymer nanocomposites

Zeliang Liu, John A. Moore, Wing Kam Liu*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

22 Scopus citations


Inclusions comprised on filler particles and interphase regions commonly form complex morphologies in polymer nanocomposites. Addressing these morphologies as systems of overlapping simple shapes allows for the study of dilute particles, clustered particles, and interacting interphases all in one general modeling framework. To account for the material properties in these overlapping geometries, weighted-mean and additive overlapping conditions are introduced and the corresponding inclusion-wise integral equations are formulated. An extended micromechanics method based on these overlapping conditions for linear elastic and viscoelastic heterogeneous material is then developed. An important feature of the proposed approach is that the effect of both the geometric overlapping (clustered particles) and physical overlapping (interacting interphases) on the effective properties can be distinguished. We apply the extended micromechanics method to a viscoelastic polymer nanocomposite with interphase regions, and estimate the properties and thickness of the interphase region based on experimental data for carbon-black filled styrene butadiene rubbers.

Original languageEnglish (US)
Pages (from-to)663-680
Number of pages18
JournalJournal of the Mechanics and Physics of Solids
StatePublished - Oct 1 2016


  • Boolean–Poisson model
  • Interphase
  • Inverse problem
  • Micromechanics
  • Overlapping geometries
  • Polymer composite
  • Viscoelasticity

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering


Dive into the research topics of 'An extended micromechanics method for probing interphase properties in polymer nanocomposites'. Together they form a unique fingerprint.

Cite this