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Anisotropic Damage

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Rodrigue Desmorat – One of the best experts on this subject based on the ideXlab platform.

  • Lode angle dependency due to Anisotropic Damage
    International Journal of Damage Mechanics, 2020
    Co-Authors: A Mattiello, Rodrigue Desmorat

    Abstract:

    The lode angle dependency introduced by Anisotropic Damage evolution laws is analyzed in detail for initially isotropic materials. Many rupture criteria are obtained, under the proportional loading…

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  • Anisotropic Damage modeling of concrete materials
    International Journal of Damage Mechanics, 2015
    Co-Authors: Rodrigue Desmorat

    Abstract:

    An Anisotropic Damage model is proposed for concrete materials. As required by thermodynamics a single Damage variable, tensorial, is considered for any loading: as a state variable it represents t…

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  • Intrinsic dissipation of a modular Anisotropic Damage model : application to concrete under impact
    Engineering Fracture Mechanics, 2014
    Co-Authors: Marion Chambart, Rodrigue Desmorat, Fabrice Gatuingt

    Abstract:

    Based on the mathematical proof of the positivity of the dissipation due to Anisotropic Damage, different numerical scheme to compute such a dissipation in concrete structures are proposed. The positivity of intrinsic dissipation for the considered modular Anisotropic Damage model is first checked in the case of Willam non-proportional loading test, then checked for different impact tests on concrete structures. Both the consequences of the modeling of the strain rate effect in tension (from visco-Damage) and of the Damage deactivation (micro-cracks closure) for alternated loadings are studied.

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S. Valliappan – One of the best experts on this subject based on the ideXlab platform.

  • Analysis of random Anisotropic Damage mechanics problems of rock mass
    Rock Mechanics and Rock Engineering, 1990
    Co-Authors: Zhang Wohua, S. Valliappan

    Abstract:

    Probabilistic analysis of random Anisotropic Damage mechanics problems is proposed in Parts of I and II. In Part I, based on the measured characteristics of random crack distribution on the surface of a rock specimen, a probabilistic law of Damage variables for rock mass was presented as a Beta distribution by using the Monte-Carlo statistical simulation method. In part II, statistical estimation of a Damage state and properties of random Damaged rock mass are evaluated by Rosenblueth’s point estimate method. Two stability problems involving randomly Damaged rock mass have been analyzed using the finite element method, to illustrate the statistical estimation method.

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  • Analysis of random Anisotropic Damage mechanics problems of rock mass
    Rock Mechanics and Rock Engineering, 1990
    Co-Authors: Zhang Wohua, S. Valliappan

    Abstract:

    A probabilistic analysis method of random Anisotropic Damage mechanics problems is proposed in parts I and II. In part I, based on the measured characteristics of random crack distribution on the surface of a rock specimen, a probabilistic distribution law of Damage variables for rock mass is presented as a Beta distribution by using the Monte-Carlo statistical simulation method. In part II, statistical estimation of a Damage state and properties of random Damaged rock mass are evaluated by Rosenblueth’s point estimate method. Combining with the F. E. method, rock mechanics problem for random Damaged state have been analyzed.

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  • Finite element analysis of Anisotropic Damage mechanics problems
    Engineering Fracture Mechanics, 1990
    Co-Authors: S. Valliappan, V. Murti, Zhang Wohua

    Abstract:

    Abstract Elastic constitutive relationships for Anisotropic Damage mechanics have been developed in this paper. Implementation of these constitutive equations in the finite element analysis is explained. Validation of these relations is provided in the form of comparison of numerical results with the available experimental results. The application of these relationships to an Anisotropic Damaged foundation problem is discussed.

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Frédéric Ragueneau – One of the best experts on this subject based on the ideXlab platform.

  • Non standard thermodynamics framework for robust computations with induced Anisotropic Damage
    International Journal of Damage Mechanics, 2010
    Co-Authors: Rodrigue Desmorat, Fabrice Gatuingt, Frédéric Ragueneau

    Abstract:

    Many Anisotropic Damage models have been proposed for different materials, including concrete. The main drawback of the corre- sponding analyses is that a large number of material parameters is often introduced, leading to identification difficulties but also to model complex- ity and associated numerical difficulties. It is also sometimes difficult to ensure the continuity of the stresses if the quasi-unilateral effect of micro- cracks closure and the dissymmetry tension/compression are represented. In order to solve those difficulties, one proposes to write the Damage models in a specific non standard thermodynamics framework. The dam- age states are represented by a symmetric second order tensor and the Damage rate is assumed governed by a positive second order tensor having a clear meanning: the absolute or the positive value of the plastic strain rate tensor for ductile materials, the positive part of the total strain tensor in quasi-brittle materials. Such a non standard feature makes the proof of the the positivity of the intrinsic dissipation necessary. This important proof is given in the considered framework for any Damage law ensuring (Anisotropic) Damage increase and for any case, 3D, proportional or non proportional. This extends then to induced anisotropy the isotropic case property of a positive Damage rate as a sufficient condition for the ther- modynamics second principle to be fulfilled. Altogether with the fact that the thermodynamics potential can be con- tinuously differentiated, the Anisotropic Damage model for concrete (build in this framework) allows for robust Finite Element implementation. Both space (classical nonlocal with internal length, nonlocal with internal time) and time regularizations (visco- or delay-Damage) are used and applied to quasi-static and dynamic cases. Examples on concrete and reinforced concrete structures are given.

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  • Anisotropic Damage modelling of biaxial behaviour and rupture of concrete structures
    Computers and Concrete, 2008
    Co-Authors: Frédéric Ragueneau, Rodrigue Desmorat, Fabrice Gatuingt

    Abstract:

    This paper deals with Damage induced anisotropy modeling for concrete-like materials. A thermodynamics based constitutive relationship is presented coupling Anisotropic Damage and elasticity, the main idea of the model being that Damage anisotropy is responsible for the dissymmetry tension/compression. A strain written Damage criterion is considered (Mazars criterion extended to anisotropy in the initial model). The biaxial behavior of a family of Anisotropic Damage model is analyzed through the effects of yield surface modifications by the introduction of new equivalent strains.

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  • Anisotropic Damage modelling of biaxial behaviour and rupture of concrete structures
    Computers & Concrete, 2008
    Co-Authors: Frédéric Ragueneau, Rodrigue Desmorat, Fabrice Gatuingt

    Abstract:

    This paper deals with Damage induced anisotropy modelling for concrete-like materials. A thermodynamics based constitutive relationship is presented coupling Anisotropic Damage and elasticity. The biaxial behaviour of such a model is analysed through the effects of yield surface modifications by the introduction of new equivalent strains.

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