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Gradient-enhanced damage modelling of concrete fracture

✍ Scribed by R. H. J. Peerlings; R. de Borst; W. A. M. Brekelmans; M. G. D. Geers

Publisher
John Wiley and Sons
Year
1998
Tongue
English
Weight
286 KB
Volume
3
Category
Article
ISSN
1082-5010

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✦ Synopsis

Classical continuum damage theory for quasi-brittle fracture exhibits an extreme sensitivity to the fineness and orientation of the spatial discretization in finite element simulations. This sensitivity is caused by the fact that the mathematical description becomes ill-posed at a certain level of accumulated damage. The ill-posedness can be removed by the use of a gradient-enhanced damage model. In this model, higher-order deformation gradients give rise to a non-local effect, which regularizes the localization of deformation and thus renders numerical analyses mesh-objective.

The mesh objectivity of the gradient-enhanced damage approach is demonstrated by the application to two concrete fracture experiments: a double-edge notched bar subjected to a uniaxial, tensile load and a single-edge notched beam under anti-symmetric four-point loading. Both the initiation and the propagation of damage can be simulated. Particularly the latter aspect calls for an appropriate definition of the strain measure which governs the evolution of damage.

πŸ“œ SIMILAR VOLUMES

Computational modelling of gradient-enha
Computational modelling of gradient-enhanced damage in quasi-brittle materials
✍ Claudia Comi πŸ“‚ Article πŸ“… 1999 πŸ› John Wiley and Sons 🌐 English βš– 384 KB πŸ‘ 2 views

To avoid the well-known drawbacks of the classical continuum damage theory when localization occurs, an isotropic gradient-enchanced damage model is proposed in which the loading function not only depends on the damage value, but also on its Laplacian. The initial boundary value problem obtained ado

β€˜Interpolation requirements for implicit
β€˜Interpolation requirements for implicit gradient-enhanced continuum damage models’
✍ Simone, A. ;Askes, H. ;Peerlings, R. H. J. ;Sluys, L. J. πŸ“‚ Article πŸ“… 2004 πŸ› John Wiley and Sons 🌐 English βš– 59 KB

Regrettably, we have found some errors and inaccuracies in our paper on interpolation requirements for implicit gradient-enhanced continuum damage models. A list of corrigenda follows below.

Interpolation requirements for implicit
Interpolation requirements for implicit gradient-enhanced continuum damage models
✍ Simone, A. ;Askes, H. ;Peerlings, R. H. J. ;Sluys, L. J. πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 227 KB

## Abstract Some properties of a gradient‐enhanced continuum damage model were discussed by means of a numerical and theoretical study. In particular, it is demonstrated that the discretization of this model does __not__ belong to the class of mixed finite element formulations (although the model h