Towards constitutive equations for the deep Earth

B. L.N. Kennett

doi:10.1016/j.pepi.2017.06.012

Towards constitutive equations for the deep Earth

B. L.N. Kennett

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

A new formulation of constitutive equations for states of high compression is introduced for isotropic media, exploiting a separation between hydrostatic and deviatoric components in strain energy. The strain energy is represented as functions of strain invariants, with one purely volumetric component and the other which vanishes for purely hydrostatic deformation. This approach preserves the form of familiar equations of state through the volumetric component, but allows the addition of volume and pressure dependence of the shear modulus from the deviatoric term. A suitable shear modulus representation to accompany a Keane equation of state is demonstrated.

Original language	English
Pages (from-to)	40-45
Number of pages	6
Journal	Physics of the Earth and Planetary Interiors
Volume	270
DOIs	https://doi.org/10.1016/j.pepi.2017.06.012
Publication status	Published - Sept 2017

Access to Document

10.1016/j.pepi.2017.06.012

Cite this

@article{6d775397586b4a0c8022425644a5c3d6,

title = "Towards constitutive equations for the deep Earth",

abstract = "A new formulation of constitutive equations for states of high compression is introduced for isotropic media, exploiting a separation between hydrostatic and deviatoric components in strain energy. The strain energy is represented as functions of strain invariants, with one purely volumetric component and the other which vanishes for purely hydrostatic deformation. This approach preserves the form of familiar equations of state through the volumetric component, but allows the addition of volume and pressure dependence of the shear modulus from the deviatoric term. A suitable shear modulus representation to accompany a Keane equation of state is demonstrated.",

keywords = "Bulk modulus, Constitutive equations, Deep earth, Equations of state, Shear modulus",

author = "Kennett, {B. L.N.}",

note = "Publisher Copyright: {\textcopyright} 2017 Elsevier B.V.",

year = "2017",

month = sep,

doi = "10.1016/j.pepi.2017.06.012",

language = "English",

volume = "270",

pages = "40--45",

journal = "Physics of the Earth and Planetary Interiors",

issn = "0031-9201",

publisher = "Elsevier B.V.",

}

TY - JOUR

T1 - Towards constitutive equations for the deep Earth

AU - Kennett, B. L.N.

PY - 2017/9

Y1 - 2017/9

N2 - A new formulation of constitutive equations for states of high compression is introduced for isotropic media, exploiting a separation between hydrostatic and deviatoric components in strain energy. The strain energy is represented as functions of strain invariants, with one purely volumetric component and the other which vanishes for purely hydrostatic deformation. This approach preserves the form of familiar equations of state through the volumetric component, but allows the addition of volume and pressure dependence of the shear modulus from the deviatoric term. A suitable shear modulus representation to accompany a Keane equation of state is demonstrated.

AB - A new formulation of constitutive equations for states of high compression is introduced for isotropic media, exploiting a separation between hydrostatic and deviatoric components in strain energy. The strain energy is represented as functions of strain invariants, with one purely volumetric component and the other which vanishes for purely hydrostatic deformation. This approach preserves the form of familiar equations of state through the volumetric component, but allows the addition of volume and pressure dependence of the shear modulus from the deviatoric term. A suitable shear modulus representation to accompany a Keane equation of state is demonstrated.

KW - Bulk modulus

KW - Constitutive equations

KW - Deep earth

KW - Equations of state

KW - Shear modulus

UR - http://www.scopus.com/inward/record.url?scp=85021739009&partnerID=8YFLogxK

U2 - 10.1016/j.pepi.2017.06.012

DO - 10.1016/j.pepi.2017.06.012

M3 - Article

SN - 0031-9201

VL - 270

SP - 40

EP - 45

JO - Physics of the Earth and Planetary Interiors

JF - Physics of the Earth and Planetary Interiors

ER -

Towards constitutive equations for the deep Earth

Abstract

Access to Document

Other files and links

Fingerprint

Cite this