A unified evolution equation for the Cauchy stress tensor of an isotropic elasto-visco-plastic material: IIII. on thermodynamically consistent evolution

Chung Fang, Yongqi Wang, Kolumban Hutter

研究成果: Article

16 引文 (Scopus)

摘要

In the present study an evolution equation for the Cauchy stress tensor is proposed for an isotropic elasto-visco-plastic continuum. The proposed stress model takes effects of elasticity, viscosity and plasticity of the material simultaneously into account. It is ascribed with some scalar coefficient functions and, in particular, with an unspecified tensor-valued function N, which is handled as an independent constitutive quantity. It is demonstrated that by varying the values and the specific functional forms of these coefficients and N, different known models in non-Newtonian rheology can be reproduced. A thermodynamic analysis, based on the Müller-Liu entropy principle, is performed. The results show that these coefficients and N are not allowed to vary arbitrarily, but should satisfy certain restrictions. Simple postulates are made to further simplify the deduced general results of the thermodynamic analysis. They yield justification and thermodynamic consistency of the existing models for a class of materials embracing thermoelasticity, hypoelasticity and in particular hypoplasticity, of which the thermodynamic foundation is established successively for the first time in literature. The study points at the wide applicability and practical usefulness of the present model in different fields from non-Newtonian fluid to solid mechanics. In this paper the thermodynamic analysis of the proposed evolution-type stress model is discussed, its applications are reported later.

原文English
頁(從 - 到)423-440
頁數18
期刊Continuum Mechanics and Thermodynamics
19
發行號7
DOIs
出版狀態Published - 2008 二月 1

指紋

stress tensors
Tensors
plastics
Thermodynamics
Plastics
thermodynamics
hypoelasticity
coefficients
solid mechanics
thermoelasticity
Thermoelasticity
axioms
Rheology
rheology
plastic properties
Plasticity
Elasticity
constrictions
Mechanics
Entropy

All Science Journal Classification (ASJC) codes

  • Materials Science(all)
  • Mechanics of Materials
  • Physics and Astronomy(all)

引用此文

@article{20c89938863e40a7be1f3f04084a19db,
title = "A unified evolution equation for the Cauchy stress tensor of an isotropic elasto-visco-plastic material: IIII. on thermodynamically consistent evolution",
abstract = "In the present study an evolution equation for the Cauchy stress tensor is proposed for an isotropic elasto-visco-plastic continuum. The proposed stress model takes effects of elasticity, viscosity and plasticity of the material simultaneously into account. It is ascribed with some scalar coefficient functions and, in particular, with an unspecified tensor-valued function N, which is handled as an independent constitutive quantity. It is demonstrated that by varying the values and the specific functional forms of these coefficients and N, different known models in non-Newtonian rheology can be reproduced. A thermodynamic analysis, based on the M{\"u}ller-Liu entropy principle, is performed. The results show that these coefficients and N are not allowed to vary arbitrarily, but should satisfy certain restrictions. Simple postulates are made to further simplify the deduced general results of the thermodynamic analysis. They yield justification and thermodynamic consistency of the existing models for a class of materials embracing thermoelasticity, hypoelasticity and in particular hypoplasticity, of which the thermodynamic foundation is established successively for the first time in literature. The study points at the wide applicability and practical usefulness of the present model in different fields from non-Newtonian fluid to solid mechanics. In this paper the thermodynamic analysis of the proposed evolution-type stress model is discussed, its applications are reported later.",
author = "Chung Fang and Yongqi Wang and Kolumban Hutter",
year = "2008",
month = "2",
day = "1",
doi = "10.1007/s00161-007-0062-9",
language = "English",
volume = "19",
pages = "423--440",
journal = "Continuum Mechanics and Thermodynamics",
issn = "0935-1175",
publisher = "Springer New York",
number = "7",

}

TY - JOUR

T1 - A unified evolution equation for the Cauchy stress tensor of an isotropic elasto-visco-plastic material

T2 - IIII. on thermodynamically consistent evolution

AU - Fang, Chung

AU - Wang, Yongqi

AU - Hutter, Kolumban

PY - 2008/2/1

Y1 - 2008/2/1

N2 - In the present study an evolution equation for the Cauchy stress tensor is proposed for an isotropic elasto-visco-plastic continuum. The proposed stress model takes effects of elasticity, viscosity and plasticity of the material simultaneously into account. It is ascribed with some scalar coefficient functions and, in particular, with an unspecified tensor-valued function N, which is handled as an independent constitutive quantity. It is demonstrated that by varying the values and the specific functional forms of these coefficients and N, different known models in non-Newtonian rheology can be reproduced. A thermodynamic analysis, based on the Müller-Liu entropy principle, is performed. The results show that these coefficients and N are not allowed to vary arbitrarily, but should satisfy certain restrictions. Simple postulates are made to further simplify the deduced general results of the thermodynamic analysis. They yield justification and thermodynamic consistency of the existing models for a class of materials embracing thermoelasticity, hypoelasticity and in particular hypoplasticity, of which the thermodynamic foundation is established successively for the first time in literature. The study points at the wide applicability and practical usefulness of the present model in different fields from non-Newtonian fluid to solid mechanics. In this paper the thermodynamic analysis of the proposed evolution-type stress model is discussed, its applications are reported later.

AB - In the present study an evolution equation for the Cauchy stress tensor is proposed for an isotropic elasto-visco-plastic continuum. The proposed stress model takes effects of elasticity, viscosity and plasticity of the material simultaneously into account. It is ascribed with some scalar coefficient functions and, in particular, with an unspecified tensor-valued function N, which is handled as an independent constitutive quantity. It is demonstrated that by varying the values and the specific functional forms of these coefficients and N, different known models in non-Newtonian rheology can be reproduced. A thermodynamic analysis, based on the Müller-Liu entropy principle, is performed. The results show that these coefficients and N are not allowed to vary arbitrarily, but should satisfy certain restrictions. Simple postulates are made to further simplify the deduced general results of the thermodynamic analysis. They yield justification and thermodynamic consistency of the existing models for a class of materials embracing thermoelasticity, hypoelasticity and in particular hypoplasticity, of which the thermodynamic foundation is established successively for the first time in literature. The study points at the wide applicability and practical usefulness of the present model in different fields from non-Newtonian fluid to solid mechanics. In this paper the thermodynamic analysis of the proposed evolution-type stress model is discussed, its applications are reported later.

UR - http://www.scopus.com/inward/record.url?scp=38749101035&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=38749101035&partnerID=8YFLogxK

U2 - 10.1007/s00161-007-0062-9

DO - 10.1007/s00161-007-0062-9

M3 - Article

AN - SCOPUS:38749101035

VL - 19

SP - 423

EP - 440

JO - Continuum Mechanics and Thermodynamics

JF - Continuum Mechanics and Thermodynamics

SN - 0935-1175

IS - 7

ER -