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Geometric And Material Stability Criteria For Material Models In Hyperelasticity

Electronic Theses of Indian Institute of Science

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Field Value
 
Title Geometric And Material Stability Criteria For Material Models In Hyperelasticity
 
Creator Patil, Kunal D
 
Subject Hyperelasticity
Deformation Theory
Material Instability
Finite Deformation
Hyperelasticity - Material Models
Material Models
Geometric Instability
Finite Deformation Theory
Hyperelastic Materials
Materials Science
 
Description In the literature, there are various material models proposed so as to model the constitutive behavior of hyperelastic materials for example, St. Venant-Kirchho_ model, Mooney-Rivlin model etc. The stability of such material models under various states of deformation is of important concern, and generally stability analysis is conducted in homogeneous states of deformation. Within hyperelasticity, instabilities can be broadly classified as geometrical and material types.
Geometrical instabilities such as buckling, symmetric bifurcation etc. are of physical origin, and lead to multiple solutions at critical stretch. Material instability is a aw in the material model and leads to unphysical solutions at the onset. It is required that the constitutive model should be materially stable i.e., should not give unphysical results, and be able to predict correctly the onset of geometrical instabilities. Certain constitutive restrictions proposed in the literature
are inadequate to characterize such instabilities.
In the work, we propose stability criteria which will characterize geometrical
as well as material instabilities. A new elasticity tensor is defined, which is found to characterize material instability adequately. In order to investigate the validity of proposed stability criteria, three important constitutive models of hyperelasticity viz., St. Venant-Kirchho_, compressible Mooney-Rivlin and compressible
Ogden models are investigated for stability.
 
Contributor Jog, C S
 
Date 2013-07-17T07:24:23Z
2013-07-17T07:24:23Z
2013-07-17
2011-06
 
Type Thesis
 
Identifier http://etd.iisc.ernet.in/handle/2005/2120
http://etd.ncsi.iisc.ernet.in/abstracts/2724/G24947-Abs.pdf
 
Language en_US
 
Relation G24947