A micromechanics-based elastoplastic damage model for quasi-brittle rocks

Xie, Ni; Zhu, Qi‐Zhi; Xu, Lihua; Shao, Jian‐Fu

doi:10.1016/j.compgeo.2011.07.014

Cited by 48 publications

(18 citation statements)

References 21 publications

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“…As shown in Fig. 7, an appropriate frictional sliding criterion needs to be formulated at the microscopic scale, which plays the role of the yielding function for plastic strain evolution in the classic theory of plasticity [28]. In this paper, a frictional sliding criterion for micro-cracks is proposed and inelastic deformations originated from frictional sliding along the micro-crack faces are calculated by flow rule and consistency condition in the classic plasticity theory framework.…”

Section: Frictional Sliding Criterion and Flow Rulementioning

confidence: 99%

A micromechanical Sliding-Damage Model Under Dynamic Compressive Loading

Ahmadi¹,

Molladavoodi

2019

Period. Polytech. Civil Eng.

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For most rock materials, there exists a strong coupling between plastic flow caused by sliding along micro-crack faces and damage evolution due to nucleation and growth of wing-cracks. The aim of this article is to develop the self-consistent based micromechanical model by taking into account the coupling between frictional sliding and damage process under dynamic compressive loading. The developed model algorithm was programmed in the commercial finite difference software environment for numerical simulation of rock material to investigate the relationship between the mechanical behaviour and microstructure. Eventually while the stress intensity factor at flaw tips exceeds the material fracture toughness, the wing-cracks are sprouted and damage evolution occurs. For frictional closed cracks, an appropriate criterion for the onset of frictional sliding along micro-cracks was proposed in this paper. Also, plastic strain increments were determined by the flow rule, consistency condition and normality rule within the thermodynamic framework. The simulation results demonstrate that the developed micromechanical model can adequately reproduce many features of the rock behaviour such as hardening prior to the peak strength, softening in post-peak region, damage induced by wing-cracks and irreversible deformations caused by frictional sliding along micro-cracks. Furthermore, the softening behaviour of material in post-peak region is affected and the material undergoes higher values of strains and damage up to the residual strength. Therefore, the rock sample simulation with the coupled frictional sliding-damage model could increase plasticity and ductility of the rock in post-peak region because of regarding plastic strains caused by the frictional sliding along micro-cracks.

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Section: Frictional Sliding Criterion and Flow Rulementioning

confidence: 99%

A micromechanical Sliding-Damage Model Under Dynamic Compressive Loading

Ahmadi¹,

Molladavoodi

2019

Period. Polytech. Civil Eng.

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“…However, the assumptions made and fitting parameters involved therein are not clearly based on physical mechanisms related to dissipative microcracking. To amend this shortcoming, some micromechanics-based constitutive models have been developed and applied successfully to model induced damage in brittle media [7][8][9][10][11][12][13][14][15]. On the other hand, theoretical analyses such as [11,14,15] have shown that damage-friction coupling analyses can interpret and simulate quite satisfactorily a large spectrum of instantaneous mechanical phenomena of brittle rocks, for example, non-linearity of stress-strain relations, deterioration of elastic properties, significant volume dilatation, damage-induced material softening, etc.…”

Section: Introductionmentioning

confidence: 99%

A unified micromechanics-based damage model for instantaneous and time-dependent behaviors of brittle rocks

Zhao

Zhu

et al. 2016

International Journal of Rock Mechanics and Mining Sciences

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“…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).…”

Section: Introductionmentioning

confidence: 99%

Thermodynamic gradient-based poroplastic theory for concrete under high temperatures

Ripani

Etse

Vrech

et al. 2014

International Journal of Plasticity

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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.

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A micromechanics-based elastoplastic damage model for quasi-brittle rocks

Cited by 48 publications

References 21 publications

A micromechanical Sliding-Damage Model Under Dynamic Compressive Loading

A micromechanical Sliding-Damage Model Under Dynamic Compressive Loading

A unified micromechanics-based damage model for instantaneous and time-dependent behaviors of brittle rocks

Thermodynamic gradient-based poroplastic theory for concrete under high temperatures

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