Constitutive and damage evolution equations of elastic-brittle materials based on irreversible thermodynamics

Murakami, Sumio; Kamiya, Kisaku

doi:10.1016/s0020-7403(97)87627-8

Cited by 240 publications

(172 citation statements)

References 22 publications

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“…Scalar models with two damage variables have also been proposed, in an attempt to distinguish between tension and compression damage mechanisms (Mazars, 1986;Faria et al, 1998;Comi and Perego, 2001;Marfia et al, 2004). Following the general formulation of Hansen and Schreyer (1994) and Murakami and Kamiya (1997), anisotropic damage models have been proposed introducing 4th or more frequently 2nd order tensors (Papa and Taliercio, 1996;Dragon et al, 2000;Sellier and Bary, 2002;Litewka and Debinski, 2003;Lü et al, 2004;Kuna-Ciskał and Skrzypek, 2004;Gambarotta, 2004). However, in many of these models the flow rules for the internal variables are established on an empirical basis and are not consistently derived from a proper dissipation functional; this may lead to inconsistencies in the implementation of the model.…”

mentioning

confidence: 99%

A framework of elastic–plastic damaging model for concrete under multiaxial stress states

Contrafatto

Cuomo

2006

International Journal of Plasticity

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mentioning

confidence: 99%

A framework of elastic–plastic damaging model for concrete under multiaxial stress states

Contrafatto

Cuomo

2006

International Journal of Plasticity

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“…The JAEA research team applied a classical continuum damage model (Lemaitre, 1992) to simulate the damage evolution and its impact on permeability (Murakami and Kamiya, 1997).…”

Section: The Jaea Model Calibration Of Damage and Permeability Changementioning

confidence: 99%

Modeling of damage, permeability changes and pressure responses during excavation of the TSX tunnel in granitic rock at URL, Canada

et al. 2008

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This paper presents numerical modeling of excavation-induced damage, permeability changes, and fluid-pressure responses during excavation of the TSX tunnel at the underground research 2 laboratory (URL) in Canada. Four different numerical models were applied, using a wide range of approaches to model damage and permeability changes in the excavation disturbed zone (EDZ) around the tunnel. Using in situ calibration of model parameters the modeling could reproduce observed spatial distribution of damage and permeability changes around the tunnel, as a combination of disturbance induced by stress redistribution around the tunnel and by the drill-and-blast operation. The modeling showed that stress-induced permeability increase above the tunnel is a result of micro and macrofracturing under high deviatoric (shear) stress, whereas permeability increases alongside the tunnel as a result of opening of existing microfractures under decreased mean stress. The remaining observed fracturing and permeability changes around the periphery of the tunnel were attributed to damage from the drill-and-blast operation.Moreover, a reasonably good agreement was achieved between simulated and observed excavation-induced pressure responses around the TSX tunnel for 1 year following its excavation. The simulations showed that these pressure responses are caused by poroelastic effects as a result of increasing or decreasing mean stress, with corresponding contraction or expansion of the pore volume. The simulation results for pressure evolution were consistent with previous studies, indicating that the observed pressure responses could be captured in a Biot model using a relatively low Biot-Willis' coefficient, α ≈ 0.2, a porosity of n ≈ 0.007, and a relatively low permeability of k ≈ 2×10 -22 m 2 , which is consistent with the very tight, unfractured granite at the site.

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“…Combining the energy dissipation inequality (22), and the definition of damage evolution (25) with Kuhn-Tucker relations, the damage evolution conditions become: …”

Section: Evolution Of Damagementioning

confidence: 99%

A Homogenization Procedure for the Numerical Simulation of Mechanical Behavior of CFCC by Considering the Overall and Local Anisotropic Damage

Luo

Takezono

2004

Journal of the Society of Materials Science, Japan

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An anisotropic damage constitutive model was presented to characterize mechanical behavior of continuous fiber-reinforced ceramic matrix composites (CFCC) with two-scale damage. An overall fourth-rank damage effect tensor was introduced to account for the overall damage of the composite system. In addition, two local (matrix and fiber) fourth-rank damage effect tensors were introduced to account for the local effects of damage experienced by both the matrix and fibers. The overall and local damage tensors were correlated together using homogenization procedure. In terms of the homogenization methods, the effective elastic properties were obtained, and the stress and strain concentration factors were derived for damaged composites. The model was applied in detail to the unidirectional laminate that was subjected to uni-axial tension. The results were compared well with experimental data. The effects of important parameters such as the fiber volume fraction and the damage material parameters on the nonlinear behavior of the composites were investigated. The model provided a useful tool for understanding the overall dependence of stress-strain behavior on all the underlying constituent material properties.

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Constitutive and damage evolution equations of elastic-brittle materials based on irreversible thermodynamics

Cited by 240 publications

References 22 publications

A framework of elastic–plastic damaging model for concrete under multiaxial stress states

A framework of elastic–plastic damaging model for concrete under multiaxial stress states

Modeling of damage, permeability changes and pressure responses during excavation of the TSX tunnel in granitic rock at URL, Canada

A Homogenization Procedure for the Numerical Simulation of Mechanical Behavior of CFCC by Considering the Overall and Local Anisotropic Damage

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