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Dynamics of fracturing saturated porous media and self-organization of rupture.

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Title: Dynamics of fracturing saturated porous media and self-organization of rupture.
Authors: Peruzzo, C.1 mailcarloperuzzo@gmail.com, Cao, D.T.2 toancaoduc@gmail.com, Milanese, E.3 enrico.milanese@epfl.ch, Favia, P.1 pietro.favia86@gmail.com, Pesavento, F.1 francesco.pesavento@dicea.unipd.it, Hussain, F.2 fazlehussain@gmail.com, Schrefler, B.A.1 bernhard.schrefler@dicea.unipd.it
Source: European Journal of Mechanics A: Solids. Mar2019, Vol. 74, p471-484. 14p.
Subjects: Crack propagation, Porous materials, Self-organized criticality (Statistical physics), Fracture mechanics, Mechanical loads, Elastic foundations
Abstract: Abstract Analytical solutions and a vast majority of numerical ones for fracture propagation in saturated porous media yield smooth behavior while experiments, field observations and a few numerical solutions reveal stepwise crack advancement and pressure oscillations. To explain this fact, we invoke self-organization of rupture observed in fracturing solids, both dry and fully saturated, when two requirements are satisfied: i) the external drive has a much slower timescale than fracture propagation; and ii) the increment of the external load (drive) is applied only when the internal rearrangement of fracture is over. These requirements are needed to obtain clean Self Organized Criticality (SOC) in quasi-static situations. They imply that there should be no restriction on the fracture velocity i.e. algorithmically the fracture advancement rule should always be independent of the crack velocity. Generally, this is not the case when smooth answers are obtained which are often unphysical. Under the above conditions hints of Self Organized Criticality are evident in heterogeneous porous media in quasi-static conditions using a lattice model, showing stepwise advancement of the fracture and pressure oscillations. We extend this model to incorporate inertia forces and show that this behavior still holds. By incorporating the above requirements in numerical fracture advancement algorithms for cohesive fracture in saturated porous continua we also reproduce stepwise advancements and pressure oscillations both in quasi-static and dynamic situations. Since dynamic tests of dry specimens show that the fracture advancement velocity is not constant we replicate such an effect with a model of a debonding beam on elastic foundation. This is the first step before introducing the interaction with a fluid. Highlights • Self-Organization of the fracturing process and its requirements. • Lattice model with stepwise advancement of fracture and pressure oscillations. • Hydraulic fracturing in porous materials. • Dynamics conditions for fracture propagation. • Model of a debonding beam on elastic foundation. [ABSTRACT FROM AUTHOR]
Copyright of European Journal of Mechanics A: Solids is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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DbLabel: Engineering Source
An: 134214549
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  Data: Dynamics of fracturing saturated porous media and self-organization of rupture.
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  Data: <searchLink fieldCode="AR" term="%22Peruzzo%2C+C%2E%22">Peruzzo, C.</searchLink><relatesTo>1</relatesTo><i> mailcarloperuzzo@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Cao%2C+D%2ET%2E%22">Cao, D.T.</searchLink><relatesTo>2</relatesTo><i> toancaoduc@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Milanese%2C+E%2E%22">Milanese, E.</searchLink><relatesTo>3</relatesTo><i> enrico.milanese@epfl.ch</i><br /><searchLink fieldCode="AR" term="%22Favia%2C+P%2E%22">Favia, P.</searchLink><relatesTo>1</relatesTo><i> pietro.favia86@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Pesavento%2C+F%2E%22">Pesavento, F.</searchLink><relatesTo>1</relatesTo><i> francesco.pesavento@dicea.unipd.it</i><br /><searchLink fieldCode="AR" term="%22Hussain%2C+F%2E%22">Hussain, F.</searchLink><relatesTo>2</relatesTo><i> fazlehussain@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Schrefler%2C+B%2EA%2E%22">Schrefler, B.A.</searchLink><relatesTo>1</relatesTo><i> bernhard.schrefler@dicea.unipd.it</i>
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  Data: <searchLink fieldCode="JN" term="%22European+Journal+of+Mechanics+A%3A+Solids%22">European Journal of Mechanics A: Solids</searchLink>. Mar2019, Vol. 74, p471-484. 14p.
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  Data: <searchLink fieldCode="DE" term="%22Crack+propagation%22">Crack propagation</searchLink><br /><searchLink fieldCode="DE" term="%22Porous+materials%22">Porous materials</searchLink><br /><searchLink fieldCode="DE" term="%22Self-organized+criticality+%28Statistical+physics%29%22">Self-organized criticality (Statistical physics)</searchLink><br /><searchLink fieldCode="DE" term="%22Fracture+mechanics%22">Fracture mechanics</searchLink><br /><searchLink fieldCode="DE" term="%22Mechanical+loads%22">Mechanical loads</searchLink><br /><searchLink fieldCode="DE" term="%22Elastic+foundations%22">Elastic foundations</searchLink>
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  Data: Abstract Analytical solutions and a vast majority of numerical ones for fracture propagation in saturated porous media yield smooth behavior while experiments, field observations and a few numerical solutions reveal stepwise crack advancement and pressure oscillations. To explain this fact, we invoke self-organization of rupture observed in fracturing solids, both dry and fully saturated, when two requirements are satisfied: i) the external drive has a much slower timescale than fracture propagation; and ii) the increment of the external load (drive) is applied only when the internal rearrangement of fracture is over. These requirements are needed to obtain clean Self Organized Criticality (SOC) in quasi-static situations. They imply that there should be no restriction on the fracture velocity i.e. algorithmically the fracture advancement rule should always be independent of the crack velocity. Generally, this is not the case when smooth answers are obtained which are often unphysical. Under the above conditions hints of Self Organized Criticality are evident in heterogeneous porous media in quasi-static conditions using a lattice model, showing stepwise advancement of the fracture and pressure oscillations. We extend this model to incorporate inertia forces and show that this behavior still holds. By incorporating the above requirements in numerical fracture advancement algorithms for cohesive fracture in saturated porous continua we also reproduce stepwise advancements and pressure oscillations both in quasi-static and dynamic situations. Since dynamic tests of dry specimens show that the fracture advancement velocity is not constant we replicate such an effect with a model of a debonding beam on elastic foundation. This is the first step before introducing the interaction with a fluid. Highlights • Self-Organization of the fracturing process and its requirements. • Lattice model with stepwise advancement of fracture and pressure oscillations. • Hydraulic fracturing in porous materials. • Dynamics conditions for fracture propagation. • Model of a debonding beam on elastic foundation. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
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  Data: <i>Copyright of European Journal of Mechanics A: Solids is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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      – Type: doi
        Value: 10.1016/j.euromechsol.2018.12.004
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      – Code: eng
        Text: English
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        PageCount: 14
        StartPage: 471
    Subjects:
      – SubjectFull: Crack propagation
        Type: general
      – SubjectFull: Porous materials
        Type: general
      – SubjectFull: Self-organized criticality (Statistical physics)
        Type: general
      – SubjectFull: Fracture mechanics
        Type: general
      – SubjectFull: Mechanical loads
        Type: general
      – SubjectFull: Elastic foundations
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      – TitleFull: Dynamics of fracturing saturated porous media and self-organization of rupture.
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              M: 03
              Text: Mar2019
              Type: published
              Y: 2019
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