A general framework for continuum damage models. II. Integration algorithms, with applications to the numerical simulation of porous metals

Armero, F.; Oller, Sergio

doi:10.1016/s0020-7683(00)00206-7

Cited by 22 publications

(10 citation statements)

References 15 publications

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“…, where T is the transpose symbol) and a set of n int phenomenological internal variables α k (usually governed by rate equations with zero initial conditions and int ,..., 1 n k = ) accounting for the non-reversible effects [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15] . This free energy definition, is only valid for small elastic strains and isotropic material response, both assumptions being normally accepted for metals and other materials.…”

Section: Governing Equations and Constitutive Modelmentioning

confidence: 99%

“…Its extensive study within the general framework of thermodynamics of irreversible processes led to the development of Continuum Damage Mechanics [1][2][3][4][5][6][7][8][9] . Different damage definitions and related models have been proposed and used in the last decades [1][2][3][4][5][6][7][8][9][10][11][12] . The most classical definition of isotropic damage is given by a scalar variable that accounts for the surfacic density of microcraks and cavities in any plane of a representative volume element [5][6][7][8][9] .…”

Section: Introductionmentioning

confidence: 99%

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Experimental and numerical characterization of damage evolution in steels

Celentano

Chaboche

2007

International Journal of Plasticity

115

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This paper presents an experimental and numerical characterization of ductile damage evolution in steels subjected to large plastic deformations. To this end, a set of tensile tests combining load-unload cycles is firstly carried out in order to evaluate the deterioration exhibited by the Young's modulus for increasing levels of plastic deformation. This task allows, in turn, to derive the characteristic parameters involved in a well-established evolution equation for the isotropic damage variable. All these material parameters are the basic data to be considered in the simulations that are performed afterwards: the analysis of the tensile test is mainly aimed at assessing the proposed characterization while the modelling of the flattening process of a cylinder is considered to discuss the possibilities and limitations of the constitutive model.

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Section: Governing Equations and Constitutive Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Experimental and numerical characterization of damage evolution in steels

Celentano

Chaboche

2007

International Journal of Plasticity

115

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“…Only few examples of strongly non-local implementations can be found [21,22], mostly based on the integral non-local concept [5]. Coupled damage-plasticity frameworks [23][24][25][26][27][28], i.e. damage in terms of the elastic sti ness coupled to plasticity, have also been elaborated to some extent.…”

Section: Introductionmentioning

confidence: 99%

Strongly non‐local gradient‐enhanced finite strain elastoplasticity

Geers

Ubachs

Engelen

2003

Numerical Meth Engineering

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SUMMARYThis paper presents a gradient plasticity formulation developed in a strongly non-local format and applicable to ductile failure for ÿnite strain plasticity. The obtained formulation is an extension of a framework proposed by Simo (Computer Methods in Applied Mechanics and Engineering 1988; 66:199) into the softening and localization regime. The presented model inherits the well-established regularization properties of its strongly non-local enrichment and leads to an implicit computational scheme with a consistent tangent operator. Numerical examples are given which illustrate the strongly non-local character of the formulation, the in uence of the type of intrinsic length scale considered, as well as several topics on plastic failure initiation and evolution into the geometrically non-linear regime.

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“…However, some researchers have preferred to introduce the concept of 'damage strain' that, besides elastic and inelastic parts, forms a part of the total strain, cf. the recent work by Armero and Oller [14].…”

Section: Introductionmentioning

confidence: 88%

Anisotropic damage coupled to plasticity: Modelling based on the effective configuration concept

Menzel

Ekh

Steinmann

et al. 2002

Numerical Meth Engineering

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SUMMARYA model framework for anisotropic damage, that is kinetically coupled to inelastic deformations, is outlined. Key ingredients are the concept of the e ective undamaged conÿguration and the assumption of energy equivalence. The pertinent rate equations for the chosen internal variables are integrated using the standard fully implicit scheme, and the Jacobian matrix of the resulting non-linear incremental constitutive problem is used to compute the algorithmic tangent sti ness in straightforward fashion. Numerical results showing the e ect of deformation-induced anisotropy conclude the paper.

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A general framework for continuum damage models. II. Integration algorithms, with applications to the numerical simulation of porous metals

Cited by 22 publications

References 15 publications

Experimental and numerical characterization of damage evolution in steels

Experimental and numerical characterization of damage evolution in steels

Strongly non‐local gradient‐enhanced finite strain elastoplasticity

Anisotropic damage coupled to plasticity: Modelling based on the effective configuration concept

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