Computational modeling of viscoelastic porous materials

Yun Huang, Sofia G. Mogilevskaya, Steven L. Crouch

Research output: Chapter in Book/Report/Conference proceedingConference contribution


This paper is concerned with the development of a computational basis for modeling time-dependent effects in a finite or an infinite viscoelastic medium containing multiple circular cavities. A two-dimensional model for a suitably oriented plane section through a porous polymeric material is adopted. The solution of the problem is based on the use of the correspondence principle. The governing equation for this problem in the Laplace domain is a complex hypersingular boundary integral equation written in terms of the unknown transformed displacements at the boundaries of the holes. The method allows to accurately calculate the viscoelastic fields anywhere within the material. The effective viscoelastic properties of an equivalent homogeneous material can then be found directly from the corresponding constitutive equations for the average field values.

Original languageEnglish (US)
Title of host publicationMultiscale and Functionally Graded Materials - Proceedings of the International Conference, FGM IX
Number of pages6
StatePublished - 2008
Event9th International Conference on Multiscale and Functionally Graded Materials, FGM IX - Oahu Island, HI, United States
Duration: Oct 15 2006Oct 18 2006

Publication series

NameAIP Conference Proceedings
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616


Other9th International Conference on Multiscale and Functionally Graded Materials, FGM IX
Country/TerritoryUnited States
CityOahu Island, HI


  • Correspondence principle
  • Effective properties
  • Porous materials
  • Viscoelasticity


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