Journal ArticleDOI
Damage Induced Anisotropy: On the Difficulties Associated with the Active/Passive Unilateral Condition
TLDR
In this paper, the authors show that no theory is able to reproduce simultaneously the induced anisotropy and the active/passive damage effects, and that the selected candidate theories either show a discontinuous stress-strain response when the unilateral condition takes place or an unacceptable nonsymmetric elastic behaviour for some loading conditions.Abstract:
Continuum damage theories have been developed that incorporate both the damage induced anisotropy and the unilateral effect of damage. Four of them are discussed in this paper using respectively scalar damage variables, vectors, second-order tensors, and fourth-order damage tensors. From the chosen examples, restricting ourselves to the case of elastic behaviour, it is demonstrated that no theory is able to reproduce simultaneously the induced anisotropy and the active/passive damage effects. In fact, the selected candidate theories either show a discontinuous stress-strain response when the unilateral condition takes place or an unacceptable nonsymmetric elastic behaviour for some loading conditions. Further studies have to be conducted in order to solve this fundamental problem.read more
Citations
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Journal ArticleDOI
Damage tensors and the crack density distribution
TL;DR: In this paper, an algorithm for the derivation of damage tensors emphasizing its relationship with the actual and approximate crack density distributions is presented, illustrated using scalar, second and fourth order continuous tensor approximations of some typical two and three dimensional crack distributions.
Journal ArticleDOI
Constitutive and damage evolution equations of elastic-brittle materials based on irreversible thermodynamics
Sumio Murakami,K. Kamiya +1 more
TL;DR: In this paper, the constitutive and evolution equations of elastic-brittle damage materials are developed on the basis of irreversible thermodynamic theory for constitutive equations, and a damage dissipation potential related to the entropy production rate is expressed in terms of damage conjugate force.
Journal ArticleDOI
Development of Continuum Damage Mechanics for Elastic Solids Sustaining Anisotropic and Unilateral Damage
TL;DR: In this article, the phenomenological approach of Continuum Damage Mechanics and the consistent modeling of damaging processes incorporating two specificities are discussed, i.e., phenomenological approaches and consistent modeling.
Journal ArticleDOI
Micromechanical Analysis of Anisotropic Damage in Brittle Materials
TL;DR: In this article, a general three-dimensional micromechanical approach to modeling anisotropic damage of brittle materials such as concrete, rocks, or certain ceramics is presented.
Journal ArticleDOI
Anisotropic damage-plasticity model for concrete
TL;DR: In this paper, a material model for concrete is proposed within the framework of a thermodynamically consistent elasto-plasticity-damage theory, where two anisotropic damage tensors and two damage criteria are adopted to describe the distinctive degradation of the mechanical properties of concrete under tensile and compressive loadings.
References
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Journal ArticleDOI
Strain- and stress-based continuum damage models—I. Formulation
Juan C. Simo,J.W. Ju +1 more
TL;DR: In this article, a dual framework for elastic cap damage was proposed, where a strain-and a stress-based approach was employed, and a viscous regularization of strain-based, rate-independent damage models was also developed.
Journal ArticleDOI
Continuum damage theory - application to concrete
TL;DR: This paper presents a review of the different models for concrete based on continuum damage theory, formulated at the Laboratoire de Mecanique et Technologie (Cachan, France), and the numerical implementations performed give a good description of the failure process as well as an accurate prediction of the behavior of concrete and reinforced concrete structures.
Journal ArticleDOI
On energy-based coupled elastoplastic damage theories: Constitutive modeling and computational aspects
TL;DR: In this paper, an energy-based coupled elastoplastic damage theory for ductile and brittle materials is presented, which employs irreversible thermodynamics and internal state variable theory for damage.