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Journal ArticleDOI

How to use damage mechanics

Jean Lemaitre
- 02 Jul 1984 - 
- Vol. 80, Iss: 2, pp 233-245
TLDR
In this article, the background of continuum damage mechanics is presented in the framework of thermodynamics with some examples of constitutive equations for ductile damage, creep damage and fatigue damage, and some simple applications are given: fracture limits of metal forming, surface initial damage in fatigue, creep fatigue interaction, and bifurcation of cracks.
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This article is published in Nuclear Engineering and Design.The article was published on 1984-07-02. It has received 1008 citations till now. The article focuses on the topics: Damage mechanics & Creep.

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Citations
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Strain- and stress-based continuum damage models—I. Formulation

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.
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On a fully three-dimensional finite-strain viscoelastic damage model: Formulation and computational aspects

TL;DR: In this paper, a fully three-dimensional finite-strain viscoelastic model is developed, characterized by general anisotropic response, uncoupled bulk and deviatoric response over any range of deformations, general relaxation functions, and recovery of finite elasticity for very fast or very slow processes; in particular, classical models of rubber elasticity (e.g. Mooney-Rivlin).
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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.
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A strain-based plastic viscous-damage model for massive concrete structures

TL;DR: In this article, a constitutive damage model for massive concrete is presented, mainly intended for the seismic analysis of gravity and arch dams, and an extension to account for the concrete strain-rate dependency, suitable for seismic analysis, is presented at the end.
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An anisotropic theory of elasticity for continuum damage mechanics

TL;DR: In this article, a modified damage effect tensor M(D) for the effective stress equations capable of including the effect of anisotropic material damage is presented. But the modified tensor removes the restriction of a priori knowledge of the directions of principal stresses imposed by a tensor developed earlier and can now be made for general practical engineering applications of failure analysis.
References
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On the ductile enlargement of voids in triaxial stress fields

TL;DR: In this article, a variational principle is established to characterize the flow field in an elastically rigid and incompressible plastic material containing an internal void or voids, and an approximate Rayleigh-Ritz procedure is developed and applied to the enlargement of an isolated spherical void in a nonhardening material.
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A continuous damage mechanics model for ductile fracture

TL;DR: In this paper, a model of isotropic ductile plastic damage based on a continuum damage variable, on the effective stress concept and on thermodynamics is derived, showing a large influence of triaxiality by means of a damage equivalent stress.

Behavior of materials under conditions of thermal stress

S S Manson
TL;DR: In this article, a review of available information on the behavior of brittle and ductile materials under conditions of thermal stress and thermal shock is presented, and a simple formula relating physical properties to thermal-shock resistance is derived and used to determine the relative significance of two indices currently in use for rating materials.