Journal•ISSN: 1056-7895
International Journal of Damage Mechanics
SAGE Publishing
About: International Journal of Damage Mechanics is an academic journal published by SAGE Publishing. The journal publishes majorly in the area(s): Damage mechanics & Constitutive equation. It has an ISSN identifier of 1056-7895. Over the lifetime, 1167 publications have been published receiving 23452 citations. The journal is also known as: IJDM & Damage mechanics.
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TL;DR: In this paper, the authors present a review of the material constitutive equations and computational tools which have been recently developed to simulate ductile rupture and fracture, which are used in structural computations.
Abstract: The past 20 years have seen substantial work on the modeling of ductile damage and fracture. Several factors explain this interest. (i) There is a growing demand to provide tools which allow to increase the efficiency of structures (reduce weight, increase service temperature or load, etc.) while keeping or increasing safety. This goal is indeed first achieved by using better materials but also by improving design tools. Better tools have been provided which consist (ii) of material constitutive equations integrating a physically-based description of damage processes and (iii) of better numerical tools which allow to use the improved constitutive equations in structural computations which become more and more realistic. This article reviews the material constitutive equations and computational tools, which have been recently developed to simulate ductile rupture.
471 citations
TL;DR: In this paper, a variational approach to brittle fracture approximates the crack evolution in an elastic solid through the use of gradient damage models, and a stability criterion in terms of the positivity of the second derivative of the total energy under the unilateral constraint induced by the irreversibility of damage is introduced.
Abstract: In its numerical implementation, the variational approach to brittle fracture approximates the crack evolution in an elastic solid through the use of gradient damage models. In this article, we first formulate the quasi-static evolution problem for a general class of such damage models. Then, we introduce a stability criterion in terms of the positivity of the second derivative of the total energy under the unilateral constraint induced by the irreversibility of damage. These concepts are applied in the particular setting of a one-dimensional traction test. We construct homogeneous as well as localized damage solutions in a closed form and illustrate the concepts of loss of stability, of scale effects, of damage localization, and of structural failure. Considering several specific constitutive models, stress
466 citations
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.
Abstract: This article deals with the phenomenological approach of Continuum Damage Mechanics and the consistent modeling of damaging processes incorporating two specificities:
239 citations
TL;DR: 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.
229 citations
TL;DR: In this article, a thermodynamic framework has been presented for damage mechanics of solid materials, where entropy production is used as the sole measure of damage evolution in the system, and predictions are compared with experimental results, which indicates that entropy production can be used as a damage evolution metric.
Abstract: The entropy production is a non-negative quantity based on irreversible thermodynamics and thus serves as a basis for the systematic description of the irreversible processes occurring in a solid. In this paper, a thermodynamic framework has been presented for damage mechanics of solid materials, where entropy production is used as the sole measure of damage evolution in the system. As a result, there is no need for physically meaningless empirical parameters to define a phenomenological damage potential surface or a Weibull function to trace damage evolution in solid continuum. In order to validate the model, predictions are compared with experimental results, which indicates that entropy production can be used as a damage evolution metric. The theory is founded on the basic premise that a solid continuum obeys the first and the second laws of thermodynamics.
197 citations