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

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

A Transversely Isotropic Hyperelastic Constitutive Model of the PDL. Analytical and Computational Aspects

2003 ◽  
Vol 6 (5-6) ◽  
pp. 337-345 ◽  
Author(s):  
Georges Limbert ◽  
John Middleton ◽  
Janis Laizans ◽  
Modris Dobelis ◽  
Ivar Knets
Keyword(s):  
Constitutive Model ◽  
Transversely Isotropic ◽  
Computational Aspects

A Structural Constitutive Model for Chemically Treated Soft Tissues

1999 ◽  
Author(s):  
Michael S. Sacks
Keyword(s):  
Constitutive Model ◽  
Chemical Treatment ◽  
Soft Tissues ◽  
Current Approach ◽  
Orientation Data ◽  
Chemically Treated ◽  
Treatment Technologies ◽  
Small Angle Light Scattering ◽  
In Vivo Effects

Abstract Chemically treated biologically derived tissues are used extensively in bioprostheses. Unfortunately, while extensive research has focused on chemical treatment technologies to reduce negative in-vivo effects such as mineralization and to enhance overall biocompatiblity, little work has been done on understanding the effects of chemical treatment on tissue mechanical properties. In the current work, a structural constitutive model for chemically treated tissues is presented that seeks to separate out the effects of the chemically treated matrix from that of the collagen fibers. Experimental results from Sacks and Chuong (Sacks and Chuong 1998) using glutaraldehyde bovine pericardium (GLBP) are used to demonstrate the approach. A unique feature of the current approach is the integration of collagen fiber orientation data quantified by small angle light scattering (SALS).

Transversely isotropic constitutive model of the polypropylene separator based on Rich-Hill elastoplastic constitutive theory

2020 ◽  
pp. 1-26
Author(s):  
Guicheng Zhao ◽  
Huifeng Xi ◽  
Jinbiao Yang
Keyword(s):  
Constitutive Model ◽  
Lithium Ion Batteries ◽  
Large Deformation ◽  
Yield Criterion ◽  
Lithium Ion ◽  
Transversely Isotropic ◽  
Porous Polymer ◽  
Constitutive Theory ◽  
Elastic Plastic ◽  
Hardening Law

Abstract The polypropylene (PP) separator is a kind of transversely isotropic porous polymer film, and it is a key component of lithium-ion batteries. The mechanical properties of the separator affect the strength and security of lithium-ion batteries directly. However, the anisotropy behaviors of the separator remain unclear, which has led to inaccuracy of failure behaviors in lithium-ion battery. A large deformation elastic-plastic constitutive model of the PP separator was developed with the Rich-Hill large deformation elastoplastic constitutive theory. Besides, the hardening law of the PP separator was established according to the Hill yield criterion. The constitutive model accurately captured the anisotropy behaviors and the elastic-plastic process considering the large deformation of the separator. Numerical examples for model validation were presented and in good agreement with stress-strain data of tests up to the hardening stage.

A Nonlinear Compressible Transversely-Isotropic Viscohyperelastic Constitutive Model of the Periodontal Ligament

2008 ◽  
Author(s):  
Alexei I. Zhurov ◽  
Sam L. Evans ◽  
Catherine A. Holt ◽  
John Middleton
Keyword(s):  
Constitutive Model ◽  
Periodontal Ligament ◽  
Nonlinear Behavior ◽  
Strain Energy Function ◽  
Transversely Isotropic ◽  
Material Parameters ◽  
Identification Technique ◽  
Optical Motion ◽  
Analysis System ◽  
Advanced Version

The periodontal ligament may be treated as a transversely-isotropic viscohyperelastic fibre-reinforced compressible material which is subject to large deformations and has an essentially nonlinear behavior. Within these assumptions, a continuum constitutive model of the PDL was proposed recently [48], which involves a number of material parameters that have to be identified from experimental data. An optical motion analysis system was developed [26] to collect data on the deformation of the PDL. In the present paper, an advanced version of the model is suggested, which is based on the assumption of the existence of an additive strain-energy function dependent on a number of principal invariants. The sensitivity analysis of the material parameters is performed and a parameter identification technique is suggested.

Constitutive Modeling of Electrostrictive Polymers Using a Hyperelasticity-Based Approach

2009 ◽  
Vol 77 (1) ◽  
Author(s):  
A. W. Richards ◽  
G. M. Odegard
Keyword(s):  
Constitutive Model ◽  
Constitutive Modeling ◽  
Isotropic Material ◽  
Functional Form ◽  
Transversely Isotropic ◽  
Polymer Systems ◽  
Electroactive Materials ◽  
Material Systems ◽  
Electrostrictive Polymer ◽  
Electrostrictive Material

The use of constitutive equations to describe the electromechanical behavior of electrostrictive materials began over 100 years ago. While these equations have been used to model a host of ceramic-based and polymer-based electroactive materials, a fully characterized model has not yet been developed to predict the response of transversely isotropic polymer electrostrictives. A constitutive model is developed within a thermodynamic and hyperelastic framework that incorporates the transversely isotropic material symmetry that is present in many polymer-based electrostrictives. The resulting constitutive model is characterized for three electrostrictive polymer systems using empirical data that are available in the literature. The model has a relatively simple functional form that is easily adaptable to other polymer electrostrictive material systems.

Finite Element Implementation of a Planar Soft Tissue Structural Constitutive Model for Heart Valve Simulations

2013 ◽  
Author(s):  
Rong Fan ◽  
Michael S. Sacks
Keyword(s):  
Finite Element ◽  
Constitutive Model ◽  
Soft Tissues ◽  
Structural Model ◽  
Mechanical Response ◽  
Biological Tissues ◽  
Biaxial Test ◽  
Tissue Microstructure ◽  
Highly Nonlinear ◽  
Insight Into

Constitutive modeling is critical for numerical simulation and analysis of soft biological tissues. The highly nonlinear and anisotropic mechanical behaviors of soft tissues are typically due to the interaction of tissue microstructure. By incorporating information of fiber orientation and distribution at tissue microscopic scale, the structural model avoids ambiguities in material characterization. Moreover, structural models produce much more information than just simple stress-strain results, but can provide much insight into how soft tissues internally reorganize to external loads by adjusting their internal microstructure. It is only through simulation of an entire organ system can such information be derived and provide insight into physiological function. However, accurate implementation and rigorous validation of these models remains very limited. In the present study we implemented a structural constitutive model into a commercial finite element package for planar soft tissues. The structural model was applied to simulate strip biaxial test for native bovine pericardium, and a single pulmonary valve leaflet deformation. In addition to prediction of the mechanical response, we demonstrate how a structural model can provide deeper insights into fiber deformation fiber reorientation and fiber recruitment.

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