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Validation of a new elastoplastic constitutive model dedicated to the cyclic behaviour of brittle rock materials

Validation of a new elastoplastic constitutive model dedicated to the cyclic behaviour of brittle rock materials
Validation of a new elastoplastic constitutive model dedicated to the cyclic behaviour of brittle rock materials
Old mines or caverns may be used as reservoirs for fuel/gas storage or in the context of large-scale energy storage. In the first case, oil or gas is stored on annual basis. In the second case pressure due to water or compressed air varies on a daily basis or even faster. In both cases a cyclic loading on the cavern’s/mine’s walls must be considered for the design. The complexity of rockwork geometries or coupling with water flow requires finite element modelling and then a suitable constitutive law for the rock behaviour modelling. This paper presents and validates the formulation of a new constitutive law able to represent the inherently cyclic behaviour of rocks at low confinement. The main features of the behaviour evidenced by experiments in the literature depict a progressive degradation and strain of the material with the number of cycles. A constitutive law based on a boundary surface concept is developed. It represents the brittle failure of the material as well as its progressive degradation. Kinematic hardening of the yield surface allows the modelling of cycles. Isotropic softening on the cohesion variable leads to the progressive degradation of the rock strength. A limit surface is introduced and has a lower opening than the bounding surface. This surface describes the peak strength of the material andallows the modelling of a brittle behaviour. In addition a fatigue limit is introduced such that no cohesion degradation occurs if the stress state lies inside this surface. The model is validated against three different rock materials and types of experiments. Parameters of the constitutive laws are calibrated against uniaxial tests on Lorano marble, triaxial test on a sandstone and damage-controlled test on Lac du Bonnet granite. The model is shown to reproduce correctly experimental results, especially the evolution of strain with number of cycles.
Fatigue, Constitutive modelling, Bounding surface model, Cyclic loading, Rock Mechanics
0723-2632
2677-2694
Cerfontaine, Benjamin
0730daf4-9d6b-4f2d-a848-a3fc54505a02
Charlier, Robert
3bba8221-b05d-431a-8a41-40f1b5dcc7e8
Collin, Frédéric
27fa6a2d-f8e2-473f-a3b2-070eca6a9c3a
Taiebat, Mahdi
4753a76c-73ad-4a73-a16e-85996e5a7af3
Cerfontaine, Benjamin
0730daf4-9d6b-4f2d-a848-a3fc54505a02
Charlier, Robert
3bba8221-b05d-431a-8a41-40f1b5dcc7e8
Collin, Frédéric
27fa6a2d-f8e2-473f-a3b2-070eca6a9c3a
Taiebat, Mahdi
4753a76c-73ad-4a73-a16e-85996e5a7af3

Cerfontaine, Benjamin, Charlier, Robert, Collin, Frédéric and Taiebat, Mahdi (2017) Validation of a new elastoplastic constitutive model dedicated to the cyclic behaviour of brittle rock materials. Rock Mechanics and Rock Engineering, 50 (10), 2677-2694. (doi:10.1007/s00603-017-1258-3).

Record type: Article

Abstract

Old mines or caverns may be used as reservoirs for fuel/gas storage or in the context of large-scale energy storage. In the first case, oil or gas is stored on annual basis. In the second case pressure due to water or compressed air varies on a daily basis or even faster. In both cases a cyclic loading on the cavern’s/mine’s walls must be considered for the design. The complexity of rockwork geometries or coupling with water flow requires finite element modelling and then a suitable constitutive law for the rock behaviour modelling. This paper presents and validates the formulation of a new constitutive law able to represent the inherently cyclic behaviour of rocks at low confinement. The main features of the behaviour evidenced by experiments in the literature depict a progressive degradation and strain of the material with the number of cycles. A constitutive law based on a boundary surface concept is developed. It represents the brittle failure of the material as well as its progressive degradation. Kinematic hardening of the yield surface allows the modelling of cycles. Isotropic softening on the cohesion variable leads to the progressive degradation of the rock strength. A limit surface is introduced and has a lower opening than the bounding surface. This surface describes the peak strength of the material andallows the modelling of a brittle behaviour. In addition a fatigue limit is introduced such that no cohesion degradation occurs if the stress state lies inside this surface. The model is validated against three different rock materials and types of experiments. Parameters of the constitutive laws are calibrated against uniaxial tests on Lorano marble, triaxial test on a sandstone and damage-controlled test on Lac du Bonnet granite. The model is shown to reproduce correctly experimental results, especially the evolution of strain with number of cycles.

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More information

Accepted/In Press date: 5 June 2017
e-pub ahead of print date: 28 June 2017
Published date: October 2017
Additional Information: The authors gratefully acknowledge the financial support from Walloon Region (Belgium) and the SMARTWATER project.
Keywords: Fatigue, Constitutive modelling, Bounding surface model, Cyclic loading, Rock Mechanics

Identifiers

Local EPrints ID: 444205
URI: http://eprints.soton.ac.uk/id/eprint/444205
ISSN: 0723-2632
PURE UUID: b91ff28e-db05-4fce-9552-10ad9d6c4895
ORCID for Benjamin Cerfontaine: ORCID iD orcid.org/0000-0002-4833-9412

Catalogue record

Date deposited: 01 Oct 2020 16:34
Last modified: 07 Oct 2020 02:27

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Contributors

Author: Robert Charlier
Author: Frédéric Collin
Author: Mahdi Taiebat

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