Hypo‐elastic and hyper‐elastic equations of soils

Summary The hypoelastic constitutive equation has been adopted widely for the description of elastic deformation of soils. However, the hyperelastic equation must be adopted to describe the elastic deformation exactly. Further, the multiplicative decomposition of the deformation gradient tensor must...

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Bibliographic Details
Published in:International journal for numerical and analytical methods in geomechanics 2018-09, Vol.42 (13), p.1554-1564
Main Author: Hashiguchi, Koichi
Format: Article
Language:English
Subjects:
Constitutive equations
Constitutive relationships
Deformation
Elastic deformation
elastic moduli
Elastoplasticity
hyperelasticity
hypoelasticity
isotropic consolidation
Mathematical analysis
Mathematical models
multiplicative decomposition
Plastic deformation
Plasticity
Soil
soils
strain energy function
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Summary:Summary The hypoelastic constitutive equation has been adopted widely for the description of elastic deformation of soils. However, the hyperelastic equation must be adopted to describe the elastic deformation exactly. Further, the multiplicative decomposition of the deformation gradient tensor must be adopted to describe both elastic and the plastic deformation exactly in the elastoplastic constitutive equation. The pertinent hypoelastic and the consistent infinitesimal and multiplicative hyperelastic equations of soils are formulated within the frameworks of the hypoelastic‐based plasticity, the infinitesimal‐hyperelasticity, and the multiplicative‐hyperelasticity in this article.
ISSN:0363-9061
1096-9853
DOI:10.1002/nag.2804