Modelling of nonlinear damage on elastic brittle materials

Pires-Domingues, S.M.; Mattos, H.S. da Costa; Rochinha, Fernando A.

doi:10.1016/s0093-6413(98)00018-4

Cited by 8 publications

(3 citation statements)

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“…Damage growth itself is often associated with the development of tensile strains 9. In phenomenological damage models, the brittle behavior law is derived from the postulated expression of a thermodynamic potential 8, 10–14. Generally speaking, damage represents the effects of micro‐cracking on the macroscopic behavior of a medium.…”

Section: Introductionmentioning

confidence: 99%

Thermo‐hydro‐mechanical modeling of damage in unsaturated porous media: Theoretical framework and numerical study of the EDZ

Arson

Gatmiri

2011

Num Anal Meth Geomechanics

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SUMMARYThe damage model presented in this article (named 'THHMD' model) is dedicated to non-isothermal unsaturated porous media. It is formulated by means of three independent strain state variables, which are the thermodynamic conjugates of net stress, suction and thermal stress. The damage variable is a second-order tensor. Stress/strain relationships are derived from Helmholtz free energy, which is assumed to be the sum of damaged elastic potentials and 'crack-closure energies'. Damage is assumed to grow with tensile strains due to net stress, with pore shrinkage due to suction and with thermal dilatation. Specific conductivities are introduced to account for the effects of cracking on the intensification and on the orientation of liquid water and vapor flows. These conductivities depend on damage and internal length parameters. The mechanical aspects of the THHMD model are validated by comparing the results of a triaxial compression test with experimental measurements found in the literature. Parametric studies of damage are performed on three different heating problems related to nuclear waste disposals. Several types of loading and boundary conditions are investigated. The thermal damage potential is thoroughly studied. The THHMD model is expected to be a useful tool in the assessment of the Excavation Damaged Zone, especially in the vicinity of nuclear waste repositories.

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Section: Introductionmentioning

confidence: 99%

Thermo‐hydro‐mechanical modeling of damage in unsaturated porous media: Theoretical framework and numerical study of the EDZ

Arson

Gatmiri

2011

Num Anal Meth Geomechanics

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“…Although microscopic, damage is non-local, which requires the introduction of internal length parameters [6]. Phenomenological damage models are based on postulated expressions of thermodynamic potentials [31]. The frame is more abstract than in micro-mechanical theories, but the thermodynamic consistency of the formulation is often easier to establish.…”

Section: Introductionmentioning

confidence: 99%

Numerical study of a thermo-hydro-mechanical damage model for unsaturated porous media

Arson

Gatmiri

2010

Ann. Solid Struct. Mech.

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International audienceThe “THHMD” damage model presented in this article is dedicated to non-isothermal unsaturated porous media. The proposed frame is based on the use of independent state variables (net stress, suction and thermal stress). Stress/strain relations are derived from a postulated expression of the free energy, accounting for the existence of residual strains. The damaged mechanical rigidities are computed by applying the Principle of Equivalent Elastic Energy for each stress state variable. The influence of damage on liquid water and vapor transfers is accounted for by introducing internal length parameters, related to specific damage-induced intrinsic conductivities. The “THHMD” model has been implemented in [FORMULA]-Stock Finite Element code. The mechanical aspects of the model have been validated by comparing the numerical results with experimental reference data. A nuclear waste repository model has been reproduced. The elastic predictions are in satisfactory agreement with the reference results. The parametric studies performed on damage parameters meet the theoretical expectations. Damage gets higher with higher damage rigidities. Water permeability grows with damage and with the internal length parameter

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“…Lasry 2002). Microstructure approaches are more frequent in plasticity models(Vardoulakis and Sulem, 1995;Chambon et al, 2004), but can be found in phenomenological damage theories(Frémond and Nedjar, 1996;Pires-Domingues, 1998;Nedjar, 2001;Zhao et al, 2005). Integral non-local formulation often stems from a homogenisation or averaging process, which is not really suited for phenomenological models, which are not based on a fracturing-related definition of damage.…”

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confidence: 99%