Review on Thermo-mechanical Approach in the Modelling of Geo-materials Incorporating Non-associated Flow Rules

Aung, Y; Khabbaz, H; Fatahi, B

Review on Thermo-mechanical Approach in the Modelling of Geo-materials Incorporating Non-associated Flow Rules

Aung, Y Khabbaz, H

Fatahi, B

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Publication Type:: Journal Article
Citation:: Procedia Engineering, 2016, 143 pp. 331 - 338
Issue Date:: 2016-01-01

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Field	Value	Language
dc.contributor.author	Aung, Y	en_US
dc.contributor.author	Khabbaz, H https://orcid.org/0000-0001-6637-4601	en_US
dc.contributor.author	Fatahi, B https://orcid.org/0000-0002-7920-6946	en_US
dc.date.issued	2016-01-01	en_US
dc.identifier.citation	Procedia Engineering, 2016, 143 pp. 331 - 338	en_US
dc.identifier.uri	http://hdl.handle.net/10453/51336
dc.description.abstract	© 2016 The Authors. Published by Elsevier B.V. Recently, there has been a burgeoning interest in developing constitutive soil models from the laws of thermodynamics, mainly due to the benefits that these models automatically obey them and the approach provides a well-established structure and reduces the need for 'ad hoc' postulates. A thermodynamic framework, also known as thermo-mechanical framework, has the capability to predict the behaviour of geotechnical materials, which requires the anticipated incorporation of non-associated flow rules. As it is very challenging to achieve acceptable accuracy in plasticity modelling of granular materials, this paper aims to review this framework not only to discuss the details of the major components but also to highlight the capability of generating non-associated flow rules in a natural way from thermo-mechanical principles. This approach introduces the use of internal variables to develop the two thermodynamic potentials (the free energy and the rate of dissipation functions), sufficient to derive the corresponding yield function, flow rule, isotropic and kinematic hardening rules as well as the basic elasticity law. It is shown that the non-associated flow rule can be derived naturally from the postulated stress-dependent dissipation increment function. Comparison has been made with stress-independent dissipation to demonstrate that the approach can also successfully explain the behaviour of standard materials with associated flow rules. The basic steps for the thermo-mechanical formulation for developing a constitutive model are also reviewed and summarised. Furthermore, the power of conventional mathematical technique, Legendre transformation, in the derivation of constitutive equations has been highlighted.	en_US
dc.relation.ispartof	Procedia Engineering	en_US
dc.relation.isbasedon	10.1016/j.proeng.2016.06.042	en_US
dc.title	Review on Thermo-mechanical Approach in the Modelling of Geo-materials Incorporating Non-associated Flow Rules	en_US
dc.type	Journal Article
utslib.citation.volume	143	en_US
utslib.for	0905 Civil Engineering	en_US
utslib.for	09 Engineering	en_US
pubs.embargo.period	Not known	en_US
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology/School of Civil and Environmental Engineering
pubs.organisational-group	/University of Technology Sydney/Strength - CBI - Centre for Built Infrastructure
utslib.copyright.status	open_access
pubs.publication-status	Published	en_US
pubs.volume	143	en_US

Abstract:

© 2016 The Authors. Published by Elsevier B.V. Recently, there has been a burgeoning interest in developing constitutive soil models from the laws of thermodynamics, mainly due to the benefits that these models automatically obey them and the approach provides a well-established structure and reduces the need for 'ad hoc' postulates. A thermodynamic framework, also known as thermo-mechanical framework, has the capability to predict the behaviour of geotechnical materials, which requires the anticipated incorporation of non-associated flow rules. As it is very challenging to achieve acceptable accuracy in plasticity modelling of granular materials, this paper aims to review this framework not only to discuss the details of the major components but also to highlight the capability of generating non-associated flow rules in a natural way from thermo-mechanical principles. This approach introduces the use of internal variables to develop the two thermodynamic potentials (the free energy and the rate of dissipation functions), sufficient to derive the corresponding yield function, flow rule, isotropic and kinematic hardening rules as well as the basic elasticity law. It is shown that the non-associated flow rule can be derived naturally from the postulated stress-dependent dissipation increment function. Comparison has been made with stress-independent dissipation to demonstrate that the approach can also successfully explain the behaviour of standard materials with associated flow rules. The basic steps for the thermo-mechanical formulation for developing a constitutive model are also reviewed and summarised. Furthermore, the power of conventional mathematical technique, Legendre transformation, in the derivation of constitutive equations has been highlighted.

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http://hdl.handle.net/10453/51336