Open Access

ARTICLE

Large Deformation Dynamic Three-Dimensional Coupled Finite Element Analysis of Soft Biological Tissues Treated as Biphasic Porous Media

R.A. Regueiro^1,2, B. Zhang², S.L. Wozniak³

1 richard.regueiro@colorado.edu
2 Department of Civil, Environmental, and Architectural Engineering, University of Colorado, Boulder, Boulder, CO 80309
3 Bowhead Science and Technology, LLC., U.S. Army Research Laboratory, Aberdeen Proving Ground, MD 21005

Computer Modeling in Engineering & Sciences 2014, 98(1), 1-39. https://doi.org/10.3970/cmes.2014.098.001

Issue published 16 August 2021

Abstract

The paper presents three-dimensional, large deformation, coupled finite element analysis (FEA) of dynamic loading on soft biological tissues treated as biphasic (solid-fluid) porous media. An overview is presented of the biphasic solidfluid mixture theory at finite strain, including inertia terms. The solid skeleton is modeled as an isotropic, compressible, hyperelastic material. FEA simulations include: (1) compressive uniaxial strain loading on a column of lung parenchyma with either pore air or water fluid, (2) out-of-plane pressure loading on a thin slab of lung parenchyma with either pore air or water fluid, and (3) pressure loading on a 1/8th symmetry vertebral disc (nucleus and annulus) with pore water. For the simulations, mixed formulation Q27P8 and stabilized Q8P8 finite elements are compared (“Q” indicates the number of solid skeleton displacement nodes, and “P” the number of pore fluid pressure nodes). The FEA results demonstrate the interplay of dynamics (wave propagation through solid skeleton and pore fluid), large deformations, effective stress and pore fluid pressure coupling, compressibility and viscosity of pore fluid, and three-dimensional effects for soft biological tissues treated as biphasic porous media.

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Keywords

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