A transversely isotropic visco-hyperelastic constitutive model for soft tissues
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Authors
Kulkarni, S.G.
Gao, X.-L.
Horner, S.E.
Mortlock, R.F.
Zheng, J.Q.
Subjects
Soft tissue
Constitutive model
Hyper-elastic material
Transversely isotropic material
Strain energy
Viscous potential
Strain rate
Elasticity tensor
Viscosity tensor
Constitutive model
Hyper-elastic material
Transversely isotropic material
Strain energy
Viscous potential
Strain rate
Elasticity tensor
Viscosity tensor
Advisors
Date of Issue
2014
Date
Publisher
Sage
Language
Abstract
A transversely isotropic visco-hyperelastic constitutive model is provided for soft tissues, which
accounts for large deformations, high strain rates, and short-term memory effects. In the first part, a constitutive model for quasi-static deformations of soft tissues is presented, in which a soft tissue is simulated as a transversely isotropic hyperelastic material composed of a matrix and reinforcing fibers. The strain energy density function for the soft tissue is additively decomposed into two terms: a
neo-Hookean function for the base matrix, and a polyconvex polynomial function of four invariants
for the fibers. A comparison with existing experimental data for porcine brain tissues and bovine
pericardium shows that this new model can well represent the quasi-static mechanical behavior of
soft tissues. In the second part, a viscous potential is proposed to describe the rate-dependent
short-term memory effects, resulting in a visco-hyperelastic constitutive model. This model is
tested for a range of strain rates from 0.1 /s to 90 /s and for multiple loading scenarios based on
available experimental data for porcine and human brain tissues. The model can be applied to other
soft tissues by using different values of material and fitting parameters.
Type
Article
Description
Series/Report No
Department
Mechanical Engineering
Organization
Naval Postgraduate School (U.S.)
Identifiers
NPS Report Number
Sponsors
U.S. Army
Funder
Format
24 p.
Citation
S.G. Kulkarni, X.-L. Gao, S.E. Horner, R.F. Mortlock, J.Q. Zheng. "A transversely isotropiv visco-hyperelastic constitutive model for soft tissues," Mathematics and Mechanics of Solids, v.31, no.6, (2014), pp. 747-770.
Distribution Statement
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.