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
Author(s):  
Guicheng Zhao ◽  
Huifeng Xi ◽  
Jinbiao Yang

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.


Author(s):  
Alexei I. Zhurov ◽  
Sam L. Evans ◽  
Catherine A. Holt ◽  
John Middleton

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.


2009 ◽  
Vol 77 (1) ◽  
Author(s):  
A. W. Richards ◽  
G. M. Odegard

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.


2012 ◽  
Vol 567 ◽  
pp. 192-199 ◽  
Author(s):  
Fabio de Angelis

In the present paper a computational algorithmic procedure is presented for modeling the elasto/viscoplastic behavior of solid materials. The effects of different loading programs on the inelastic behavior of rate-sensitive materials are analyzed with specific numerical examples. An appropriate solution scheme and a consistent tangent operator are applied which are capable to be adopted for general computational procedures. Numerical computations and results are reported which illustrate the rate-dependence of the constitutive model in use.


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

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