A numerical model for reinforced concrete structures

Rabczuk, Timon; Akkermann, Jan; Eibl, J.

doi:10.1016/j.ijsolstr.2004.07.019

Cited by 155 publications

(59 citation statements)

References 29 publications

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“…This tendency was captured by a numerical simulation. We note that we were not able to capture this failure mechanism in earlier studies in a 2D-setting [45]. We also were able to capture load-deflection curves.…”

Section: Summary and Discussionmentioning

confidence: 73%

A geometrically non-linear three-dimensional cohesive crack method for reinforced concrete structures

Rabczuk

Bordas

et al. 2008

Engineering Fracture Mechanics

287

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A three dimensional meshfree method for modeling arbitrary crack initiation and crack growth in reinforced concrete structure is presented. This meshfree method is based on a partition of unity concept and formulated for geometrically nonlinear problems. The crack kinematics are obtained by enriching the solution space in order to capture the correct crack kinematics. A cohesive zone model is used after crack initiation. The reinforcement modeled by truss or beam elements is connected by a bond model to the concrete. We applied the method to model the fracture of several reinforced concrete structures and compared the results to experimental data.

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Section: Summary and Discussionmentioning

confidence: 73%

A geometrically non-linear three-dimensional cohesive crack method for reinforced concrete structures

Rabczuk

Bordas

et al. 2008

Engineering Fracture Mechanics

287

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“…Then, the crack orientation is fixed. Other interesting contributions can be found, for example, in [17,[61][62][63][64][65].…”

Section: Smeared Crack Modelsmentioning

confidence: 98%

“…Some models combine the rotating and fixed smeared crack approach [61]. Up to a certain crack opening, the crack is allowed to rotate.…”

Section: Smeared Crack Modelsmentioning

confidence: 99%

Computational Methods for Fracture in Brittle and Quasi-Brittle Solids: State-of-the-Art Review and Future Perspectives

Rabczuk

2013

ISRN Applied Mathematics

162

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An overview of computational methods to model fracture in brittle and quasi-brittle materials is given. The overview focuses on continuum models for fracture. First, numerical difficulties related to modelling fracture for quasi-brittle materials will be discussed. Different techniques to eliminate or circumvent those difficulties will be described subsequently. In that context, regularization techniques such as nonlocal models, gradient enhanced models, viscous models, cohesive zone models, and smeared crack models will be discussed. The main focus of this paper will be on computational methods for discrete fracture (discrete cracks). Element erosion technques, inter-element separation methods, the embedded finite element method (EFEM), the extended finite element method (XFEM), meshfree methods (MMs), boundary elements (BEMs), isogeometric analysis, and the variational approach to fracture will be reviewed elucidating advantages and drawbacks of each approach. As tracking the crack path is of major concern in computational methods that preserve crack path continuity, one section will discuss different crack tracking techniques. Finally, cracking criteria will be reviewed before the paper ends with future research perspectives.

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“…Since only one particle is used over the thickness, fracture occurs over the entire thickness. The Rankine criterion is used to detect the onset of fracture [46][47][48][49][50][51][52] although more-complex criteria, such as loss of stability, might be studied in the future [53,54]. We do not use cohesive-zone models after a discrete crack is introduced which will be a subject for future study as well.…”

Section: Constitutive Model and Fracture Criterionmentioning

confidence: 99%

Meshless study of dynamic failure in shells

Liu

2010

J Eng Math

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The dynamic fracture of a thin-walled structure that is mainly due to impact and explosive loading is studied. Use is made of a meshless SPH shell formulation based on Mindlin-Reissner's theory. The formulation is an extension of the continuum-corrected and stabilized SPH method allowing a thin structure to be modelled using only one particle characterizing the mean position of the shell surface. Fracture is based on an effective criterion similar to that of the visibility method. Four numerical examples are studied among which tearing of pre-notched plates, fracture due to impact loading and dynamic fracture of cylindrical shells.

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A numerical model for reinforced concrete structures

Cited by 155 publications

References 29 publications

A geometrically non-linear three-dimensional cohesive crack method for reinforced concrete structures

A geometrically non-linear three-dimensional cohesive crack method for reinforced concrete structures

Computational Methods for Fracture in Brittle and Quasi-Brittle Solids: State-of-the-Art Review and Future Perspectives

Meshless study of dynamic failure in shells

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