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Extended “LMPHETS” Finite Element Models for Coupled Mechano-Electro-Chemical Transport in Soft Tissues

[+] Author Affiliations
B. R. Simon, G. A. Radtke, P. H. Rigby, S. K. Williams, Z. P. Liu

University of Arizona, Tucson, AZ

Paper No. IMECE2002-32604, pp. 445-446; 2 pages
doi:10.1115/IMECE2002-32604
From:
  • ASME 2002 International Mechanical Engineering Congress and Exposition
  • Advances in Bioengineering
  • New Orleans, Louisiana, USA, November 17–22, 2002
  • Conference Sponsors: Bioengineering Division
  • ISBN: 0-7918-3650-9 | eISBN: 0-7918-1691-5, 0-7918-1692-3, 0-7918-1693-1
  • Copyright © 2002 by ASME

abstract

Soft tissues are hydrated fibrous materials that exhibit nonlinear material response and undergo finite straining during in vivo loading. A continuum model of these structures (“LMPHETS” [1,2]) is a porous solid matrix (with charges fixed to the solid fibers) saturated by a mobile fluid (water) and multiple species (e.g., three mobile species designated by α, β = p, m, b where p = +, m = −, and b = ± charge) dissolved in the mobile fluid. A “mixed” LMPHETS theory and finite element models (FEMs) were presented [1] in which the “primary fields” are the displacements, ui = xiXi and the mechano-electro-chemical potentials, ν̃ξ* (ξ, η = f, e, m, b) that are continuous across material interfaces. “Secondary fields” (discontinuous at material boundaries) are mechanical fluid pressure, pf ; electrical potential, μ̃e ; and concentration or “molarity”, cα = dnα / dVf . Here an extended version of these models is described and numerical results are presented for representative test problems associated with transport in soft tissues.

Copyright © 2002 by ASME

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