Fracturing of viscoelastic geomaterials and application to sedimentary layered rocks

Sang, Nguyen Xuan; Jeannin, Laurent; Dormieux, Luc; Renard, François

doi:10.1016/j.mechrescom.2013.02.006

Cited by 16 publications

(28 citation statements)

References 18 publications

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“…For the viscous layer at the base (Pimienta Formation), we assume a density of 2100 kg/m 3 and a viscosity of 5 × 10 18 Pa s [Contreras and Negrete-Aranda, 2014]. The viscosity of shale varies over 3 orders of magnitude; it falls between that of halite, which ranges between 10 16 Pa s and 10 18 Pa s [van Keken et al, 1993], and those of the much stiffer limestone and sandstone, which range between 10 20 and 10 22 Pa s [Nguyen et al, 2013].…”

Section: Materials Propertiesmentioning

confidence: 99%

Mechanical stability model of progradational carbonate platform margins under tectonic loads: Deformation of Cretaceous carbonate platforms in the Sierra Madre Oriental fold‐thrust belt (east central Mexico)

Contreras

Suter

2015

JGR Solid Earth

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Shortening in the Sierra Madre Oriental fold-thrust belt (east central Mexico) is localized along the margins of Cretaceous carbonate platforms and controlled by mechanical stratigraphy. The platform margins are deformed by imbricate series of thrust ramps, whereas the coeval basins and platform interiors are deformed by map-scale detachment folds. Here we present a finite element model to evaluate the influence of the boundary geometry and boundary conditions on the style of deformation observed at these basinward progradational platform margins. We calculate the stress distribution in a linearly elastic platform-basin transition zone under the action of horizontal tectonic stress, taking into account changes of rock mechanical properties across the platform margin, as well as their dependence on direction, and infer the resulting fracture patterns based on the Mohr-Coulomb failure criterion. Stress concentrations are predicted at the contacts between the massive rocks of the platform margin and the well-layered rocks of both, the platform interior and the adjacent basin. Brittle failure of the platform border can be mostly attributed to three effects: mechanical coupling between the carbonate platform and a substratum of moderate to low viscosity, variations in layering and texture that governed the mechanical properties of the involved carbonates as well as their dependence on direction, and the development of sharp domain boundary corners associated with progradational facies changes. In contrast, the dip of the basement and a possible taper of the overlying Upper Cretaceous shale toward the basin appear to have little influence on the mechanical failure of the platform margin.

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Section: Materials Propertiesmentioning

confidence: 99%

Mechanical stability model of progradational carbonate platform margins under tectonic loads: Deformation of Cretaceous carbonate platforms in the Sierra Madre Oriental fold‐thrust belt (east central Mexico)

Contreras

Suter

2015

JGR Solid Earth

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“…However, many of polymer‐based composite materials and geomaterials, such as concrete or sedimentary rocks, are expected to exhibit time‐dependent mechanical behavior when submitted to long lasting loadings. In this case, the delayed behavior reveals a fundamental component of the material deformation and may be strongly affected by damage induced by the discontinuities present at the micro‐scale (see for instance, Le, Nguyen et al, or Sevostianov et al).…”

Section: Introductionmentioning

confidence: 99%

Micromechanical approach to effective viscoelastic properties of micro‐fractured geomaterials

Aguiar

Maghous

2018

Num Anal Meth Geomechanics

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Summary The aim of this paper is to formulate a micromechanics‐based approach to non‐aging viscoelastic behavior of materials with randomly distributed micro‐fractures. Unlike cracks, fractures are discontinuities that are able to transfer stresses and can therefore be regarded from a mechanical viewpoint as interfaces endowed with a specific behavior under normal and shear loading. Making use of the elastic‐viscoelastic correspondence principle together with a Mori‐Tanka homogenization scheme, the effective viscoelastic behavior is assessed from properties of the material constituents and damage parameters related to density and size of fractures. It is notably shown that the homogenized behavior thus formulated can be described in most cases by means of a generalized Maxwell rheological model. For practical implementation in structural analyses, an approximate model for the isotropic homogenized fractured medium is formulated within the class of Burger models. Although the approximation is basically developed for short‐term and long‐term behaviors, numerical applications indicate that the approximate Burger model accurately reproduce the homogenized viscoelastic behavior also in the transient conditions.

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“…The main disadvantage of this model is that it requires experimental investigation [28] or computational efforts to resolve nonlinear equation [32] function of internal damage variables. In the works of Nguyen et al [36,38], the effective behaviour of microcracked linear viscoelastic concrete was derived from a combination of the Griffith's theory [27] and the Eshelbybased homogenization scheme [4]. The undamaged concrete was assumed to obey to the typical 4…”

Section: Introductionmentioning

confidence: 99%

Multi-level modeling of viscoelastic microcracked masonry

Rekik

Nguyen

Gasser

2016

International Journal of Solids and Structures

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-level modeling of viscoelastic microcracked masonry. International Journal of Solids and Structures, Elsevier, 2016, 81, pp.63-83. 10.1016/j.ijsolstr.2015 Accepted Manuscript Multi-level This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting proof before it is published in its final form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain.

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Fracturing of viscoelastic geomaterials and application to sedimentary layered rocks

Cited by 16 publications

References 18 publications

Mechanical stability model of progradational carbonate platform margins under tectonic loads: Deformation of Cretaceous carbonate platforms in the Sierra Madre Oriental fold‐thrust belt (east central Mexico)

Mechanical stability model of progradational carbonate platform margins under tectonic loads: Deformation of Cretaceous carbonate platforms in the Sierra Madre Oriental fold‐thrust belt (east central Mexico)

Micromechanical approach to effective viscoelastic properties of micro‐fractured geomaterials

Multi-level modeling of viscoelastic microcracked masonry

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