A fully coupled elasto-visco-plastic damage theory for anisotropic materials

Zhu, Y.Y.; Cescotto, Serge

doi:10.1016/0020-7683(94)00195-3

Cited by 109 publications

(62 citation statements)

References 38 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Cordebois and Sidoroff (1982) remarked that the importance of these limitations could only be evaluated by experiments. Zhu and Cescotto (1995) defined the plastic yield surface in the space of the effective stresses. In the definition of Hayakawa et al (1998), increased effects of stress due to damage were specified for the plastic yield surface through a characteristic tensor containing the damage.…”

Section: Discussionmentioning

confidence: 99%

“…Chow and Wang (1987a, b) introduced a generalized description of this tensor and the corresponding material model in the principal damage directions. Zhu and Cescotto (1995) used this anisotropic concept and the energy equivalence stated by Cardebois and Sidoroff (1982) to develop a damage model at finite strains for ductile fracture. Their model takes into account three major anisotropies (elasticity, plasticity, and damage) and proposes a specific damage characteristic tensor, J (due to damage anisotropy).…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Oriented Damage in Ductile Sheets: Constitutive Modeling and Numerical Integration

Omerspahic

Mattiasson

2007

International Journal of Damage Mechanics

View full text Add to dashboard Cite

Thermodynamics with internal variables provides a framework for constitutive modeling of elasto-plastic deformations. Within the scope of the theory, constitutive and evolution equations for ductile, elasto-plastic materials with mixed (isotropic and kinematic) hardening and anisotropic damage have been developed. Postulates within continuum damage mechanics were used in order to incorporate damage as an internal variable. Owing to this, and to a simplified definition of the inverted damage effect tensor, a general expression for degradation of the elastic properties in materials has been obtained. The corresponding numerical algorithm for integration of the constitutive equations is based on an elastic predictor -plastic/ damage corrector procedure. The plastic/damage corrector is uncoupled, which further simplifies and expedites the corrector procedure.KEY WORDS: constitutive modeling, anisotropic damage, small strain elasticity, large strain plasticity, mixed hardening, numerical integration.

show abstract

Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Oriented Damage in Ductile Sheets: Constitutive Modeling and Numerical Integration

Omerspahic

Mattiasson

2007

International Journal of Damage Mechanics

View full text Add to dashboard Cite

show abstract

“…Since then, it has been applied to numerous other forming processes, such as forging (Habraken and Cesc-otto, 1990), continuous casting (Castagne et al, 2004), deep drawing (Duchêne et al, 2002;Duchêne and Habraken, 2005), powder compaction (Mosbah et al, 1999) and cooling processes (Habraken and Bourdouxhe, 1992;Casotto et al, 2005). LAGAMINE has a large element library (see for instance Cescotto and Charlier, 1993;Zhu and Cescotto, 1994;, as well as numerous constitutive laws (Zhu and Cescotto, 1995;Habraken and Duchêne, 2004). The particular finite element and the constitutive laws used in the present study are further described in next sections.…”

Section: Fe Code Lagaminementioning

confidence: 99%

Length changes and texture prediction during free end torsion test of copper bars with FEM and remeshing techniques

Duchêne

Houdaigui²,

Habraken³

2007

International Journal of Plasticity

View full text Add to dashboard Cite

FEM numerical simulations of the experimental free end torsion tests [Toth, L.S., Jonas, J.J., Daniel, D., Bailey, J.A., 1992. Texture development and length changes in copper bars subjected to free end torsion. Textures Microstruct. 19,[245][246][247][248][249][250][251][252][253][254][255][256][257][258][259][260][261][262] of copper cylindrical bars were analysed in the present study. The self-made Finite Element (FE) code LAGAMINE was used to compute numerical prediction of the Swift effect, i.e. the lengthening of the cylinder during the torsion. The material behaviour was represented by an interpolation law [Habraken, A.M., Duchêne, L., 2004. Anisotropic elasto-plastic finite element analysis using a stress-strain interpolation method based on a polycrystalline model. Int. J. Plasticity 20 (8-9), 1525-1560] linked with a Taylor poly-crystal plasticity model either based on a strain rate insensitive or a visco-plastic crystal plasticity model. The influence of texture evolution was analysed. A torsion dedicated remeshing technique was developed to allow very large strain simulations. Predicted axial lengthening and predicted textures were compared to experimental measurements. A good agreement was obtained for shear strain up to 2.0. The Swift effect related angular shift of the pole figure maxima from symmetrical orientations was reproduced correctly.

show abstract

“…A more general formulation was given by Zhu and Cescotto (1995) where, instead of the simplified formulae (43) and (46), the following expressions were used…”

Section: Dissipation Potentials and Evolution Rules For Plasticity Anmentioning

confidence: 99%

Implementation of a Model of Coupled Elastic-Plastic Unilateral Damage Material to Finite Element Code

Bielski

Skrzypek

Kuna-Ciskał

2006

International Journal of Damage Mechanics

View full text Add to dashboard Cite

ABSTRACT:The continuum damage mechanics-based elasto-plastic damage theory, that extends the total form of Hayakawa and Murakami equations, is developed. Weak elastic-plastic dissipation coupling is assumed by the use of two dissipation potentials, plastic and damage, where only isotropic plasticity and damage hardening is included, whereas kinematic hardening is not accounted for. Unilateral damage condition, based on the concept of generalized projection operators, accounts for a partial damage deactivation, which allows for an influence of negative principal components of the stress tensor on damage evolution. The incremental representation of the elastic-damage constitutive equations is derived. Both elastic-damage and plastic-damage compliance matrices are developed for plane stress condition, and implemented to ABAQUS finite element code by the user-supplied procedure for non-standard material properties. Effective computation algorithm for plastic and damage loading/unloading conditions based on the doubly passive predictor and plastic-damage corrector approach is proposed. Numerical examples are presented by applying the model calibration by Hayakawa and Murakami for the spheroidized graphite cast iron FCD400. The examples illustrate the capability of the model to describe elastic-plastic damage evolution under monotonic loading. Under reverse loading conditions a partial elastic stiffness recovery was demonstrated on the consecutive increasing strain-controlled loading cycles and some limitation of the model was shown.KEY WORDS: elasto-plastic damage, damage-induced anisotropy, damage deactivation, stiffness recovery, doubly passive predictor-corrector approach.

show abstract

A fully coupled elasto-visco-plastic damage theory for anisotropic materials

Cited by 109 publications

References 38 publications

Oriented Damage in Ductile Sheets: Constitutive Modeling and Numerical Integration

Oriented Damage in Ductile Sheets: Constitutive Modeling and Numerical Integration

Length changes and texture prediction during free end torsion test of copper bars with FEM and remeshing techniques

Implementation of a Model of Coupled Elastic-Plastic Unilateral Damage Material to Finite Element Code

Contact Info

Product

Resources

About