From continuous to discontinuous failure in a gradient-enhanced continuum damage model

By A. Simone, Garth N. Wells, Lambertus J. Sluys. 2003

224 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/85b8fa92423dfe1a68748df21d2515a93105486c

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In Mechanics of Materials

Citations in the corpus

Mesh-independent discrete numerical representations of cohesive-zone models (2006, background): “This observation also partially holds for regularized smeared models that have been enhanced with a capability to form true discontinuities in the later stages of the deformation process [41–43].”
A simplified implementation of a gradient-enhanced damage model with transient length scale effects (2013, unknown): “[20] with a continuous-discontinuous approach.”
Towards the algorithmic treatment of 3D strong discontinuities (2006, background): “[22], these oscillations can be attributed to the discretization error in the post-processed stresses which enter the failure criterion.”
Damage growth modeling using the Thick Level Set (TLS) approach: Efficient discretization for quasi-static loadings (2012, background): “However, the link between damage and fracture is not obvious from both the physical and numerical point of view [5,20,13,35].”
Recycled aggregate concrete (2017, unknown): “[15]) are the most appropriate ones to objectively describe non-local effects in the framework of diffuse failure processes, leading to fully mesh-independent predictions of the microdefect diffusion zones.”
An extended FE strategy for transition from continuum damage to mode I cohesive crack propagation (2007, background): “The numerical P vs CMOD response is compared in Figure 22 to the available experimental data of Reference [26] and to the results obtained with the continuum model without transition.”
Extended finite element method in computational fracture mechanics: a retrospective examination (2015, unknown): “Early studies along these lines were performed by Simone et al. (2003) who modeled the transition from nonlocal damage to discrete cracks, and by Comi et al. (2007) who used enrichment functions in the X-FEM to facilitate the transition from a damage model to a cohesive zone model.”
A comparative study on the modelling of discontinuous fracture by means of enriched nodal and element techniques and interface elements (2009, background): “Wells and Sluys (2001a) suggests a value of three times the typical element size, whereas Simone et al. (2003) takes a value equal to four times the length scale of a gradient-enhanced damage model.”
A review of extended/generalized finite element methods for material modeling (2009, background): “Simone et al. [90] formulated the approximation for discontinuities in the total field but only applied the approximation to problems where the tangential component is unconstrained.”