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GRADIENT ENHANCED DAMAGE FOR QUASI-BRITTLE MATERIALS

International Journal for Numerical Methods in Engineering · 1996 · Vol. 39(19) · pp. 3391–3403
R.H.J. PeerlingsRené de BorstW.A.M. BrekelmansJ.H.P. De Vree

Abstract

Conventional continuum damage descriptions of material degeneration suffer from loss of well-posedness beyond a certain level of accumulated damage. As a consequence, numerical solutions are obtained which are unacceptable from a physical point of view. The introduction of higher-order deformation gradients in the constitutive model is demonstrated to be an adequate remedy to this deficiency of standard damage models. A consistent numerical solution procedure of the governing partial differential equations is presented, which is shown to be capable of properly simulating localization phenomena.

Nonlocal and gradient elasticity in micro/nano structuresNumerical methods in engineeringRock Mechanics and ModelingBrittlenessConstitutive equationPartial differential equationDeformation (meteorology)MechanicsPoint (geometry)Numerical analysisNumerical modelsApplied mathematicsStructural engineering
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References
Gradient‐dependent plasticity: Formulation and algorithmic aspects
International Journal for Numerical Methods in Engineering · 1992 · 921 citations
A variational principle for gradient plasticity
International Journal of Solids and Structures · 1991 · 781 citations
Strain- and stress-based continuum damage models—I. Formulation
International Journal of Solids and Structures · 1987 · 1,323 citations
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