Acoustoelasticity in transversely isotropic soft tissues: Quantification of muscle nonlinear elasticity

2021 ◽  
Vol 150 (6) ◽  
pp. 4489-4500
Author(s):  
Marion Bied ◽  
Jean-Luc Gennisson
Keyword(s):  
Nonlinear Elasticity ◽  
Soft Tissues ◽  
Transversely Isotropic

A NUMERICAL STUDY ON A TRANSVERSELY ISOTROPIC PERMEABILITY MODEL APPLIED TO SOFT TISSUES

2021 ◽  
Author(s):  
Thayller Weverton Barp ◽  
Bruno Klahr ◽  
Thiago André Carniel ◽  
Eduardo Fancello
Keyword(s):  
Soft Tissues ◽  
Numerical Study ◽  
Transversely Isotropic ◽  
Permeability Model

The Convexity Properties of the Fung Model for Soft Tissues

2001 ◽  
Author(s):  
J. Patrick Wilber ◽  
Jay R. Walton
Keyword(s):  
Mechanical Properties ◽  
Nonlinear Elasticity ◽  
Continuum Mechanics ◽  
Soft Tissues ◽  
Basic Tool ◽  
Nonlinear Continuum Mechanics ◽  
Pathological Conditions ◽  
Convexity Properties ◽  
Nonlinear Continuum ◽  
Fung Model

Abstract During the last three decades, the theory of nonlinear elasticity has been used extensively to model biological soft tissues. The now widely accepted belief that an understanding of the mechanical properties of these tissues is critical in order to understand the advent, progression, and treatment of disease has driven this research. More recently, those interested in how soft tissues grow and remodel themselves in response to both normal and pathological conditions have used nonlinear continuum mechanics as a basic tool.

Soft-Elastohydrodynamic Lubrication Line Contact Analysis on a Strip of Bio-Materials

2019 ◽  
Vol 141 (11) ◽  
Author(s):  
Qie-Da Chen ◽  
Wang-Long Li
Keyword(s):  
Relative Motion ◽  
Finite Deformation ◽  
Soft Tissues ◽  
Finite Thickness ◽  
Elastohydrodynamic Lubrication ◽  
Transversely Isotropic ◽  
Von Mises Stress ◽  
Equivalent Model ◽  
Line Contact ◽  
Curvature Effects

Abstract The characteristics of anisotropic material, finite deformation, and lubrication in biological system diminish the friction and wear between soft tissues with relative motion. In this research, the lubrication between pleura surfaces in relative motion is analyzed by soft elastohydrodynamic lubrication (soft-EHL) line contact with an equivalent model. The model is a soft, transversely isotropic (TI) elastic strip with finite thickness sliding under a rigid sinusoidal surface, which is used to simulate the surface irregularities, with lubricant in between. The material nonlinearity and the curvature effects due to finite deformation, which are significant in soft-EHL, are considered in the present study. The pressure distribution, film thickness, von Mises stress, and material deformation are analyzed and discussed under various combinations of elastic moduli and Poisson's ratios for the transversely isotropic models. The simulation results reveal that the soft-EHL modeling fit actual result better than the traditional EHL (t-EHL) modeling. The Poisson's ratio νp = 0.1 and νpz = 0.49 situation will have more gentle stress distribution. The present soft-EHL solver can be used to realize some desired stress distributions and to identify the mechanical properties bio-materials under the aids of experiments.

A transversely isotropic visco-hyperelastic constitutive model for soft tissues

2014 ◽  
Vol 21 (6) ◽  
pp. 747-770 ◽  
Author(s):  
S G Kulkarni ◽  
X-L Gao ◽  
S E Horner ◽  
R F Mortlock ◽  
J Q Zheng
Keyword(s):  
Constitutive Model ◽  
Soft Tissues ◽  
Transversely Isotropic

Finite element modelling for soft tissues surgery based on nonlinear elasticity behaviour

2004 ◽  
Vol 1268 ◽  
pp. 384-389 ◽  
Author(s):  
Y. Tillier ◽  
A. Paccini ◽  
J. Delotte ◽  
M. Durand-Réville ◽  
J.-L. Chenot
Keyword(s):  
Finite Element ◽  
Nonlinear Elasticity ◽  
Finite Element Modelling ◽  
Soft Tissues ◽  
Element Modelling

Physical Invariant Constitutive Equation for Soft Tissues

2013 ◽  
Vol 432 ◽  
pp. 196-201 ◽  
Author(s):  
M.H.B.M. Shariff
Keyword(s):  
Constitutive Equation ◽  
Principal Axis ◽  
Soft Tissues ◽  
Strain Energy Function ◽  
Transversely Isotropic ◽  
General Function ◽  
Anisotropic Problems ◽  
Isotropic Elasticity ◽  
Transversely Isotropic Solids ◽  
Isotropic Solids

Principal axis formulations are regularly used in isotropic elasticity but they are not often used in dealing with anisotropic problems. In this paper, based on a principal axis technique, we develop a physical invariant constitutive equation for incompressible transversely isotropic solids, where it contains only a one variable (general) function. The corresponding strain energy function depends on four invariants that have immediate physical interpretation. These invariants are useful in facilitating an experiment to obtain a specific constitutive equation for a particular type of materials. The explicit appearance of the classical ground state constants in the constitutive equation simplifies the calculation for their admissible values. A specific constitutive model is proposed for soft tissues and the model fits reasonably well with existing experimental data; it is also able to accurately predict experiment data.

scholarly journals General Finite-Element Framework of the Virtual Fields Method in Nonlinear Elasticity

2021 ◽  
Author(s):  
Yue Mei ◽  
Jiahao Liu ◽  
Xu Guo ◽  
Brandon Zimmerman ◽  
Thao D. Nguyen ◽  
...  
Keyword(s):  
Finite Element ◽  
Nonlinear Elasticity ◽  
Soft Tissues ◽  
Model Parameters ◽  
Virtual Fields Method ◽  
Identification Problems ◽  
Unknown Parameters ◽  
Volume Of Interest ◽  
Constitutive Parameters ◽  
Scalar Equations

AbstractThis paper presents a method to derive the virtual fields for identifying constitutive model parameters using the Virtual Fields Method (VFM). The VFM is an approach to identify unknown constitutive parameters using deformation fields measured across a given volume of interest. The general principle for solving identification problems with the VFM is first to derive parametric stress field, where the stress components at any point depend on the unknown constitutive parameters, across the volume of interest from the measured deformation fields. Applying the principle of virtual work to the parametric stress fields, one can write scalar equations of the unknown parameters and solve the obtained system of equations to deduce the values of unknown parameters. However, no rules have been proposed to select the virtual fields in identification problems related to nonlinear elasticity and there are multiple strategies possible that can yield different results. In this work, we propose a systematic, robust and automatic approach to reconstruct the systems of scalar equations with the VFM. This approach is well suited to finite-element implementation and can be applied to any problem provided that full-field deformation data are available across a volume of interest. We also successfully demonstrate the feasibility of the novel approach by multiple numerical examples. Potential applications of the proposed approach are numerous in biomedical engineering where imaging techniques are commonly used to observe soft tissues and where alterations of material properties are markers of diseased states.

Automated Estimation of Elastic Material Parameters of a Transversely Isotropic Material Using Asymmetric Indentation and Inverse Finite Element Analysis

2015 ◽  
Author(s):  
Yuan Feng ◽  
Chung-Hao Lee ◽  
Lining Sun ◽  
Ruth J. Okamoto ◽  
Songbai Ji
Keyword(s):  
Finite Element ◽  
Soft Tissues ◽  
Transverse Isotropy ◽  
Transversely Isotropic ◽  
Biological Tissues ◽  
Fiber Reinforced ◽  
Element Analysis ◽  
Soft Biological Tissues ◽  
Tissue Properties ◽  
Brain White Matter

Anisotropy exists in many soft biological tissues. The most common anisotropy is transverse isotropy, which is typical for fiber-reinforced structures, such as the brain white matter, tendon and muscle. Although many methods have been proposed to determine tissue properties, techniques to characterize transversely isotropic materials remain limited. The goal of this study is to investigate the feasibility of asymmetric indentation coupled with numerical optimization based on inverse finite element (FE) simulation to characterize transversely isotropic soft biological tissues. The proposed approach combining indentation and optimization may provide a useful general framework to characterize a variety of fiber-reinforced soft tissues in the future.

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