Size effect on fracture energy induced by non‐locality

Jirásek, Milan; Rolshoven, Simon; Grassl, Peter

doi:10.1002/nag.364

Cited by 78 publications

(55 citation statements)

References 15 publications

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“…Such results, showing a great sensitivity of the mechanical response of specimens to the weight function, have already been pointed out, e.g. by Jirasek and coworkers [13].…”

Section: Size Effect On Notched Specimenssupporting

confidence: 64%

Boundary effect on weight function in nonlocal damage model

Krayani

Pijaudier‐Cabot

Dufour

2009

Engineering Fracture Mechanics

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Some insights on boundary effects in nonlocal damage modelling are addressed. Interaction stresses that are at the origin of nonlocality are expected to vanish at the boundary of a solid, in the normal direction to this boundary. Existing models do not account for such an effect. We introduce tentative modifications of the classical nonlocal damage model aimed at accounting for this boundary layer effect in a continuum modelling setting. Computations show that some nonnegligible differences may be observed between the classical and modified formulations. In a one dimensional spalling test, only the modified formulation provides a spall of finite nonzero thickness, whereas spalls smaller than the internal length cannot be obtained according to the original formulation. For the same set of model parameters, including the internal length, the fracture energy derived from the size effect test method is also very different according to both approaches. Parameters in the size effect laws for notched and unnotched specimens, obtained from computation of geometrically similar bending beams, are more consistent with the modified nonlocal model compared to the original nonlocal formulation.

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“…Such results, showing a great sensitivity of the mechanical response of specimens to the weight function, have already been pointed out, e.g. by Jirasek and coworkers [13].…”

Section: Size Effect On Notched Specimenssupporting

confidence: 64%

Boundary effect on weight function in nonlocal damage model

Krayani

Pijaudier‐Cabot

Dufour

2009

Engineering Fracture Mechanics

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“…As the first bracketed terms in (37) and (38) are positive when loading takes place, their elimination in the above expressions is straightforward. We can now rewrite the damage criteria in their final forms…”

Section: Damage Functionsmentioning

confidence: 98%

“…The calibration process for all model parameters is based on uniaxial tensile and compressive tests. This requirement has been widely accepted and adopted because of its simplicity (see [7,14,[34][35][36][37]). …”

Section: Introductionmentioning

confidence: 99%

A coupled damage–plasticity model for concrete based on thermodynamic principles: Part I: model formulation and parameter identification

Nguyen

Houlsby

2007

Num Anal Meth Geomechanics

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SUMMARYThe development of a coupled damage-plasticity constitutive model for concrete is presented. Emphasis is put on thermodynamic admissibility, rigour and consistency both in the formulation of the model, and in the identification of model parameters based on experimental tests. The key feature of the thermodynamic framework used in this study is that all behaviour of the model can be derived from two specified energy potentials, following procedures established beforehand. Based on this framework, a constitutive model featuring full coupling between damage and plasticity in both tension and compression is developed. Tensile and compressive responses of the material are captured using two separate damage criteria, and a yield criterion with a multiple hardening rule. A crucial part of this study is the identification of model parameters, with these all being shown to be identifiable and computable based on standard tests on concrete. Behaviour of the model is assessed against experimental data on concrete.

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“…These observations can see some similarities with the ones made by Figure 12: Crack field at 50% of the peak load for the original nonlocal method a) and the stress based nonlocal method b). (Jirásek et al 2004). Indeed, they observed that the better way to describe size effect on fracture energy for notched beams in an original nonlocal continuous framework was to replace the explicit description of the notch by a fully damage area.…”

Section: Crack Analysis At Failurementioning

confidence: 99%

“…Indeed, by introducing an internal length in the modeling, the size of the FPZ is explicitly defined. (Simone et al 2004) and (Jirásek et al 2004) for the description of size effect, have pointed out the problematic of the description of the nonlocal interactions in the vicinity of a notch tip. To address the description of size effect for notched beams under three-point bending loading, this problem is of main concern as the FPZ develop in this area at peak load.…”

Section: Introductionmentioning

confidence: 99%

Non-local model and global-local cracking analysis for the study of size effect

Giry¹,

Oliver-Leblond²,

Kishta³

2014

Computational Modelling of Concrete Structures

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The problematic of size effect for quasi-brittle materials and more particularly for concrete has been widely studied during the last decades. Several approaches have been proposed to describe and explain why the strength decreases as the size increases. Indeed, the capacity of a model to describe the size effect matters greatly when dealing with the modelling of structures. A study of size effect is proposed in this article by considering several notched concrete beams submitted to a three points bending test. To describe the nonlinear behavior of concrete, two different nonlocal regularization methods (the original method and a method proposed recently by one of the authors) are compared to analytical model and to experimental results available in the literature in order to assess their capacity to describe size effect at the global scale as well as at the local scale. More particularly, a quantification of the crack field is obtained by using a discrete elements reanalysis method proposed recently by two of the authors. This last analysis brings an additional element to discriminate or not model capacity to describe size effect of quasi-brittle materials.

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Size effect on fracture energy induced by non‐locality

Cited by 78 publications

References 15 publications

Boundary effect on weight function in nonlocal damage model

Boundary effect on weight function in nonlocal damage model

A coupled damage–plasticity model for concrete based on thermodynamic principles: Part I: model formulation and parameter identification

Non-local model and global-local cracking analysis for the study of size effect

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