Theoretical modeling of fluid-solid coupling in porous materials

Robert Alan Guyer, Hyunsun Alicia Kim

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

This chapter presents a unifying theoretical model for describing fluid-solid coupling in porous materials. It proceeds by forming a variety of cellular solid systems without fluid and subjects these systems to numerical testing to determine their elastic response. From these numerical tests, the elastic tensor of the cellular solid can be determined, the results are reported. The chapter then turns to the mechanical response of the cellular solid to fluids that are free of applied stresses, have an empty pore space, and are driven by fluid that resides in the skeleton. It discusses the study of the mechanical response of cellular solids that are free of applied stresses, have a pore space that is filled with elastically isotropic material, and are driven by fluid that resides in the pore filling.

Original languageEnglish
Title of host publicationNonlinear Elasticity and Hysteresis
Subtitle of host publicationFluid-Solid Coupling in Porous Media
Place of PublicationChichester, U. K.
PublisherWiley-Blackwell
Pages57-80
Number of pages24
ISBN (Print)9783527333028
DOIs
Publication statusPublished - 21 Jan 2015

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Keywords

  • Applied external forces
  • Fluid-solid coupling
  • Mechanical response
  • Pore space
  • Porous materials
  • Skeleton
  • Theoretical model

Cite this

Guyer, R. A., & Kim, H. A. (2015). Theoretical modeling of fluid-solid coupling in porous materials. In Nonlinear Elasticity and Hysteresis: Fluid-Solid Coupling in Porous Media (pp. 57-80). Chichester, U. K.: Wiley-Blackwell. https://doi.org/10.1002/9783527665068.ch3