Incorrect initiation and propagation of failure in non-local and gradient-enhanced media

By A. Simone, H. Askes, Lambertus J. Sluys. 2004

206 citations recorded by the source corpus.

Subfields: Materials Chemistry, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/be90c3d41fa4d88940e1e7363e9dfca8c8e5da57

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Materials Chemistry

In Mechanics of Materials

Citations in the corpus

3D Crack propagation in unreinforced concrete. A two-step algorithm for tracking 3D crack paths (2006, background): “However, [ 46 ] showed that the application of non-local failure criterion can lead to non-physical crack initialization, in particular, at stress (strain) singularities.”
A level set based model for damage growth: The thick level set approach (2011, background): “• The criterion is maximum at the tip of a crack and not a little away from it as in classical non-local approach [37].”
A simplified implementation of a gradient-enhanced damage model with transient length scale effects (2013, background): “Similar to the original nonlocal damage model [18], the implicit gradient-enhanced damage model adopts a constant length scale and fails to deliver physically acceptable damage profiles at high deformation levels [21].”
Stress-based nonlocal damage model (2011, methodology): “Simone et al. (2004) have shown the wrong prediction of propagation for a shear band induced by a gradientenhanced continuum damage model.”
A damage model with evolving nonlocal interactions (2011, methodology): “tip (Simone et al., 2004), the introduction of evolving nonlocal interaction, which only activates nonlocal behaviour once damage occurs, has effects in predicting correctly the location of damage onset (Figs.”
Localizing gradient damage model with decreasing interactions (2017, methodology): “Such non-physical energy exchanges across the continuum description of macroscopic cracks result in spurious damage growth and wrong failure mode as reported in [9], which will also be demonstrated in the following sections.”