Coupled porohyperelastic mass transport (PHEXPT) finite element models for soft tissues using ABAQUS

Jonathan P Vande Geest, B. R. Simon, Paul H. Rigby, Tyler P. Newberg

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

Finite element models (FEMs) including characteristic large deformations in highly nonlinear materials (hyperelasticity and coupled diffusive/convective transport of neutral mobile species) will allow quantitative study of in vivo tissues. Such FEMs will provide basic understanding of normal and pathological tissue responses and lead to optimization of local drug delivery strategies. We present a coupled porohyperelastic mass transport (PHEXPT) finite element approach developed using a commercially available ABAQUS finite element software. The PHEXPT transient simulations are based on sequential solution of the porohyperelastic (PHE) and mass transport (XPT) problems where an Eulerian PHE FEM is coupled to a Lagrangian XPT FEM using a custom-written FORTRAN program. The PHEXPT theoretical background is derived in the context of porous media transport theory and extended to ABAQUS finite element formulations. The essential assumptions needed in order to use ABAQUS are clearly identified in the derivation. Representative benchmark finite element simulations are provided along with analytical solutions (when appropriate). These simulations demonstrate the differences in transient and steady state responses including finite deformations, total stress, fluid pressure, relative fluid, and mobile species flux. A detailed description of important model considerations (e.g., material property functions and jump discontinuities at material interfaces) is also presented in the context of finite deformations. The ABAQUS-based PHEXPT approach enables the use of the available ABAQUS capabilities (interactive FEM mesh generation, finite element libraries, nonlinear material laws, pre- and postprocessing, etc.). PHEXPT FEMs can be used to simulate the transport of a relatively large neutral species (negligible osmotic fluid flux) in highly deformable hydrated soft tissues and tissue-engineered materials.

Original languageEnglish (US)
Article number044502
JournalJournal of Biomechanical Engineering
Volume133
Issue number4
DOIs
StatePublished - Feb 18 2011

Fingerprint

ABAQUS
Mass transfer
Tissue
Library Materials
Benchmarking
Fluids
Fluxes
Software
Mesh generation
Pressure
Drug delivery
Porous materials
Materials properties
Pharmaceutical Preparations

Keywords

  • ABAQUS
  • Drug delivery
  • Finite element models
  • Mass transport
  • Porohyperelastic
  • Soft tissues

ASJC Scopus subject areas

  • Biomedical Engineering
  • Physiology (medical)

Cite this

Coupled porohyperelastic mass transport (PHEXPT) finite element models for soft tissues using ABAQUS. / Vande Geest, Jonathan P; Simon, B. R.; Rigby, Paul H.; Newberg, Tyler P.

In: Journal of Biomechanical Engineering, Vol. 133, No. 4, 044502, 18.02.2011.

Research output: Contribution to journalArticle

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