An energy-based damage model of geomaterials—I. Formulation and numerical results

Swoboda, G.; Yang, Qiang

doi:10.1016/s0020-7683(98)00036-5

Cited by 65 publications

(37 citation statements)

References 20 publications

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“…n; respectively; and E 0 and n 0 are, respectively, Young's modulus and Poisson's ratio of the undamaged material. In order to define a state variable of anisotropic damage in the framework of macroscopic modelling, tensorial representation methods are widely used for the approximation of crack distribution [13][14][15][33][34][35]. In the present work, the approximation with a second-order tensor is chosen as it is the simplest choice.…”

Section: Anisotropic Damage Modelmentioning

confidence: 99%

Coupling between anisotropic damage and permeability variation in brittle rocks

Shao

Zhou

Chau

2005

Int. J. Numer. Anal. Meth. Geomech.

150

117

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SUMMARYIn this paper, a coupled constitutive model is proposed for anisotropic damage and permeability variation in brittle rocks under deviatoric compressive stresses. The formulation of the model is based on experimental evidences and main physical mechanisms involved in the scale of microcracks are taken into account. The proposed model is expressed in the macroscopic framework and can be easily implemented for engineering application. The macroscopic free enthalpy of cracked solid is first determined by approximating crack distribution by a second-order damage tensor. The effective elastic properties of damaged material are then derived from the free enthalpy function. The damage evolution is related to the crack growth in multiple orientations. A pragmatic approach inspired from fracture mechanics is used for the formulation of the crack propagation criterion. Compressive stress induced crack opening is taken into account and leads to macroscopic volumetric dilatancy and permeability variation. The overall permeability tensor of cracked material is determined using a micro-macro averaging procedure. Darcy's law is used for fluid flow at the macroscopic scale whereas laminar flow is assumed at the microcrack scale. Hydraulic connectivity of cracks increases with crack growth. The proposed model is applied to the Lac du Bonnet granite. Generally, good agreement is observed between numerical simulations and experimental data.

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Section: Anisotropic Damage Modelmentioning

confidence: 99%

Coupling between anisotropic damage and permeability variation in brittle rocks

Shao

Zhou

Chau

2005

Int. J. Numer. Anal. Meth. Geomech.

150

117

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“…In this aspect, a review on current status and development in rock mechanics and engineering can be found in Sun and Wang [40,41]. Recently, rock damage and fracture mechanics (isotropic and anisotropic) appear to be a promising tool to describe the complicated behavior of jointed rock in underground structures [42][43][44]. A recent review was given by Yang [45].…”

Section: Scientific and Technical Problems Of Hydro-power Plants And mentioning

confidence: 99%

Challenges of high dam construction to computational mechanics

Zhang

2007

Front. Archit. Civ. Eng. China

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Challenges of high dam construction to computational mechanics © Higher Education Press and Springer-Verlag 2007 378x10 3 MW. However, the current developed capacity is only 22%, far lower than that of the United States, Japan, Canada and many other hydro-power rich European countries, as shown in Fig. 1 [1]. AbstractThe current situations and growing prospects of China's hydro-power development and high dam con struction are reviewed, giving emphasis to key issues for safety evaluation of large dams and hydro-power plants, especially those associated with application of state-of-the-art computational mechanics. These include but are not limited to: stress and stability analysis of dam foundations under external loads; earthquake behavior of dam-foundation-reservoir systems, mechanical properties of mass concrete for dams, high velocity flow and energy dissipation for high dams, scientific and technical problems of hydro-power plants and underground structures, and newly developed types of dam-Roll Com pacted Concrete (RCC) dams and Concrete Face Rock-fill (CFR) dams. Some examples demonstrating successful utilizations of computational mechanics in high dam engineering are given, including seismic nonlinear analysis for arch dam foundations, nonlinear fracture analysis of arch dams under reservoir loads, and failure analysis of arch dam-foundations. To make more use of the computational mechanics in high dam engineering, it is pointed out that much research including different computational methods, numerical models and solution schemes, and verifications through experimental tests and filed measurements is necessary in the future.

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“…Chow and Lu [7] have shown that many classical damage evolution laws can be covered by (32), e.g., Chaboche, Lee, Murakami and Ohno and Sidoro and Cordebois, etc, see also Swoboda and Yang [40][41] and Yang et al [44]. However, it is evident that the linear phenomenological equation (32) is not consistent with microscopic damaging mechanism, e.g.…”

Section: Micromechanics Of Defectsmentioning

confidence: 99%

“…In Sect. 7, a oneparameter damage-dependent elasticity tensor [40] is deduced by tensorial algebra and thermodynamic requirements, see (78) and (83), which furnishes a fourth-order approximation.…”

Section: Introduction To This Researchmentioning

confidence: 99%

Damage mechanics of jointed rock in tunnelling

Yang

Swoboda

Zhao

et al. 2003

Numerical Simulation in Tunnelling

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Abstract. In this chapter, an anisotropic damage model is established in strain space to describe the behavior of jointed rock masses under compression-dominated stress fields. The research work focuses on rate-independent and small-deformation behavior during isothermal processes. It is emphasized that the damage variables should be defined microstructurally rather than phenomenologically for jointed rock masses, and a second-order "fabric tensor" is chosen as the damage variable. Starting from it, a one-parameter damage-dependent elasticity tensor is deduced based on tensorial algebra and thermodynamic requirements; An equivalent state is developed to exclude the macroscopic stress/strain explicitly from the relevant constitutive equations. Finally, some numerical results are worked out to illustrate the mechanical behavior of this model. In order to eliminate the complexity and arbitrariness in. the formulation of phenomenological anisotropic model, systematic micromechanical analysis has been done on damage elasticity, damage evolution laws and micromechanics of different types of microdefects.

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An energy-based damage model of geomaterials—I. Formulation and numerical results

Cited by 65 publications

References 20 publications

Coupling between anisotropic damage and permeability variation in brittle rocks

Coupling between anisotropic damage and permeability variation in brittle rocks

Challenges of high dam construction to computational mechanics

Damage mechanics of jointed rock in tunnelling

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