Numerical modeling of discrete crack propagation in reinforced and plain concrete

Ingraffea, Anthony R.; Saouma, Victor E.

doi:10.1007/978-94-009-6152-4_4

Cited by 119 publications

(105 citation statements)

References 24 publications

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“…Regarding this topic, the reader may be referred to the works presented in Malvern (1969), Goodman et al (1968), Hillerborg et al (1976), Herrmann (1978), Ingraffea and Saouma (1985), Bocca et al (1986), Kikuchi and Oden (1988), Alfaiate et al (1992), Carol and Prat (1995), Lourenço and Rots (1997), Carey and Ma (1999), Tijssens et al (2000), Dias-da-Costa et al (2009). In the following, emphasis is put on the descriptions of both the DSDA and the GFEM.…”

Section: Problem Descriptionmentioning

confidence: 99%

A comparative study on the modelling of discontinuous fracture by means of enriched nodal and element techniques and interface elements

et al. 2009

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In this paper, three different approaches used to model strong discontinuities are studied: a new strong embedded discontinuity technique, designated as the discrete strong embedded discontinuity approach (DSDA), introduced in Dias-da-Costa et al. [773][774][775][776][777][778][779][780][781] 1976). First, it is shown that all three descriptions are based on the same variational formulation. However, the main differences between these models lie in the way the discontinuity is represented in the finite element mesh, which is explained in the paper. Main focus is on the differences between the element enrichment technique, used in the DSDA and the nodal

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Section: Problem Descriptionmentioning

confidence: 99%

A comparative study on the modelling of discontinuous fracture by means of enriched nodal and element techniques and interface elements

et al. 2009

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“…Damage formulations can be fitted into nonlinear finite element algorithms and implemented in simulation codes with relative ease and they did not seem to require the special discretisation and remeshing techniques which are necessary in numerical analyses using discrete cracks and/or cohesive surfaces (e.g., Hillerborg et al, 1976;Ingraffea and Saouma, 1985;Camacho and Ortiz, 1996). It has since been found, however, that finite element solutions of standard damage problems often do not seem to converge upon mesh refinement.…”

Section: Introductionmentioning

confidence: 99%

Localisation issues in local and nonlocal continuum approaches to fracture

Peerlings

Borst

Brekelmans

et al. 2002

European Journal of Mechanics - A/Solids

132

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Continuum approaches to fracture regard crack initiation and growth as the ultimate consequences of a gradual, local loss of material integrity. The material models which are traditionally used to describe the degradation process, however, may predict premature crack initiation and instantaneous, perfectly brittle crack growth. This nonphysical response is caused by localisation instabilities due to loss of ellipticity of the governing equations and-more importantly-singularity of the damage rate at the crack tip. It is argued that this singularity results in instantaneous failure in a vanishing volume, even if ellipticity is not first lost. Adding strong nonlocality to the modelling is shown to preclude localisation instabilities and remove damage rate singularities. As a result, premature crack initiation is avoided and crack growth rates remain finite. Weak nonlocality, as provided by explicit gradient models, does not suffice for this purpose. In implementing the enhanced modelling, the crack must be excluded from the equilibrium problem and the nonlocal interactions in order to avoid unrealistic damage growth.  2002 Éditions scientifiques et médicales Elsevier SAS. All rights reserved.

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“…For strain-based damage models, the total stress-strain relation, Equation (2), is complemented by a damage loading function…”

Section: Damage Modelsmentioning

confidence: 99%

“…by modifying the geometry of the original, intact structure, are perhaps intuitively the most appealing approach to fracture, and have been pursued since the late 1960s [1]. Developments such as remeshing [2,3], or the eXtended Finite Element Method [4,5,6,7,8] have provided ways to decouple the crack path from the underlying discretisation. Also, isogeometric finite element analysis behold promise to flexibly model propagating cracks [9].…”

Section: Introductionmentioning

confidence: 99%

Gradient damage vs phase-field approaches for fracture: Similarities and differences

Borst

Verhoosel

2016

Computer Methods in Applied Mechanics and Engineering

258

122

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Numerical modeling of discrete crack propagation in reinforced and plain concrete

Cited by 119 publications

References 24 publications

A comparative study on the modelling of discontinuous fracture by means of enriched nodal and element techniques and interface elements

A comparative study on the modelling of discontinuous fracture by means of enriched nodal and element techniques and interface elements

Localisation issues in local and nonlocal continuum approaches to fracture

Gradient damage vs phase-field approaches for fracture: Similarities and differences

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