A micro–macro model for clayey rocks with a plastic compressible porous matrix

Shen, Wanqing; Shao, Jian‐Fu; Kondo, Djimédo; Gatmiri, Behrouz

doi:10.1016/j.ijplas.2012.03.006

Cited by 140 publications

(54 citation statements)

References 29 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…The micro-macro modelling has been widely used to integrate intrinsic properties of the material microstructure such as the porosity [22], the mineralogical composition [23] and microcrack growth [24]. Abou-Chakra Guéry et al [25] proposed a modified incremental homogenization method in which the elasto-viscoplastic behavior of the argillaceous rock was of the Perzyna type with a Drucker Prager plasticity criterion.…”

Section: Introductionmentioning

confidence: 99%

Modeling of Creep Behavior of an Argillaceous Rock by Numerical Homogenization Method

Dahhaoui

Belayachi

Zadjaoui

2018

Period. Polytech. Civil Eng.

View full text Add to dashboard Cite

show abstract

Section: Introductionmentioning

confidence: 99%

Modeling of Creep Behavior of an Argillaceous Rock by Numerical Homogenization Method

Dahhaoui

Belayachi

Zadjaoui

2018

Period. Polytech. Civil Eng.

View full text Add to dashboard Cite

show abstract

“…The material properties of the clay matrix, which consists of micronsize clay minerals and sub-micron-size voids, are difficult to quantify. Homogenisation methods have thus been used in conjunction with various assumptions to characterise the mechanical behaviour of both shales and the solid unit of clay [18,20,14,33,15,50,37,38,44]. Hornby et al [18] assumed elliptical clay particles and used the differential effective medium (DEM) approach to upscale shale properties.…”

Section: Introductionmentioning

confidence: 99%

Numerical evaluation of mean-field homogenisation methods for predicting shale elastic response

2016

View full text Add to dashboard Cite

The full-text may be used and/or reproduced, and given to third parties in any format or medium, without prior permission or charge, for personal research or study, educational, or not-for-pro t purposes provided that:• a full bibliographic reference is made to the original source • a link is made to the metadata record in DRO • the full-text is not changed in any way The full-text must not be sold in any format or medium without the formal permission of the copyright holders.Please consult the full DRO policy for further details. Numerical evaluation of mean-field homogenisation methods for predicting shale elastic responseReceived: date / Accepted: date Abstract Homogenisation techniques have been successfully used to estimate the mechanical response of synthetic composite materials, due to their ability to relate the macroscopic mechanical response to the material microstructure. The adoption of these mean-field techniques in geo-composites such as shales is attractive, partly because of the practical difficulties associated with the experimental characterisation of these highly heterogeneous materials. In this paper, numerical modelling has been undertaken to investigate the applicability of homogenisation methods in predicting the macroscopic, elastic response of clayey rocks. The rocks are considered as two-level composites consisting of a porous clay matrix at the first level and a matrix-inclusion morphology at the second level . The simulated microstructures ranged from a simple system of one inclusion/void embedded in a matrix to complex, random microstructures. The effectiveness and limitations of the different homogenisation schemes were demonstrated through a comparative evaluation of the macroscopic elastic response, illustrating the appropriate schemes for upscaling the microstructure of shales. Based on the numerical simulations and existing experimental observations, a randomly distributed pore system for the micro-structure of porous clay matrix has been proposed which can be used for the subsequent development and validation of shale constitutive models and their flow properties. Finally, the homogenisation techniques were used to predict the experimental measurements of elastic response. The developed methodology is proved to be a valuable too for verifying the accuracy and performance of the homogenisation techniques.

show abstract

“…Likewise, the consideration of microscopic aspects in the formulation of non-local constitutive theories for porous and granular materials are due to Nicot and Darve (2007); Yin et al (2009);Zhu et al (2010) and Xie et al (2011). Other remarkable works related to this matter were performed by Bonelli et al (2012); Jiang and Shao (2012); Shen et al (2012); Tran et al (2012); Shen et al (2013) and Shojaei et al (2014). Bonelli et al (2012) took into account the effect of grain rotations in the description of macroscopic strains.…”

Section: Introductionmentioning

confidence: 99%

“…Jiang and Shao (2012) presented a fast Fourier transformation-based micromechanical analysis to simulate the nonlinear behavior of porous geomaterials. Shen et al (2012Shen et al ( , 2013 proposed a two-step homogenization procedure for multiscale analysis of clayey rocks; while Tran et al (2012) developed a micromechanics-based approach for periodic linear elastic composites exhibiting strain gradient effects at the macroscopic level. Finally, Shojaei et al (2014), based on a previous work by Shojaei et al (2013), developed a continuum damage mechanics based constitutive model to describe elastic, plastic and damage behavior of porous rocks.…”

Section: Introductionmentioning

confidence: 99%

Thermodynamic gradient-based poroplastic theory for concrete under high temperatures

Ripani

Etse

Vrech

et al. 2014

International Journal of Plasticity

View full text Add to dashboard Cite

Concrete materials subjected to long term exposures to high temperatures suffer severe degradations in its mechanical properties (cohesion, friction, strength and stiffness) and changes in their failure mechanisms. These degradations may lead to irreversible damage or sudden collapse of the related structures. From the predictive analysis stand point, accurate constitutive theories are required to simulate the variations of concrete mechanical failure behavior under high and durable temperature fields. In the realm of the smeared crack approach, non-local model strategies are required to objectively reproduce failure behaviors under coupled thermo-mechanical loading conditions, while realistic descriptions of the involved characteristic lengths are needed to objectively reproduce the variation from ductile to brittle failure modes depending on the acting confining pressure and temperature. In this work, a thermodynamically consistent gradient poroplastic model for concrete subjected to high temperatures is proposed. A particular and simple form of gradient-based poroplasticity is considered whereby the state variables are the only ones of non-local character. The degradations of these variables due to coupled thermo-mechanical effects are described in the framework of the thermodynamic approach. After describing the material formulation, numerical analyses are presented which demonstrate the predictive capabilities of the proposed constitutive theory for different stress paths and thermal conditions.

show abstract

A micro–macro model for clayey rocks with a plastic compressible porous matrix

Cited by 140 publications

References 29 publications

Modeling of Creep Behavior of an Argillaceous Rock by Numerical Homogenization Method

Modeling of Creep Behavior of an Argillaceous Rock by Numerical Homogenization Method

Numerical evaluation of mean-field homogenisation methods for predicting shale elastic response

Thermodynamic gradient-based poroplastic theory for concrete under high temperatures

Contact Info

Product

Resources

About