articleTop 10% cited
GRADIENT ENHANCED DAMAGE FOR QUASI-BRITTLE MATERIALS
International Journal for Numerical Methods in Engineering · 1996 · Vol. 39(19) · pp. 3391–3403
R.H.J. Peerlings✉(Eindhoven University of Technology)René de Borst(Eindhoven University of Technology)W.A.M. Brekelmans(Eindhoven University of Technology)J.H.P. De Vree(Eindhoven University of Technology)
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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1,414
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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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