A Finite Element Model for Mixed Porohyperelasticity with Transport, Swelling, and Growth.

ABSTRACT: The purpose of this manuscript is to establish a unified theory of porohyperelasticity with transport and growth and to demonstrate the capability of this theory using a finite element model developed in MATLAB. We combine the theories of volumetric growth and mixed porohyperelasticity with transport and swelling (MPHETS) to derive a new method that models growth of biological soft tissues. The conservation equations and constitutive equations are developed for both solid-only growth and solid/fluid growth. An axisymmetric finite element framework is introduced for the new theory of growing MPHETS (GMPHETS). To illustrate the capabilities of this model, several example finite element test problems are considered using model geometry and material parameters based on experimental data from a

SUBMITTER: Armstrong MH 

PROVIDER: S-EPMC4831841 | biostudies-literature | 2016

REPOSITORIES: biostudies-literature