Size effect on fracture energy induced by non-locality

Experimental results available in the literature indicate that the nominal fracture energy of concrete (defined as total work of fracture divided by the ligament area) depends on the size of the specimen. Theoretical modelling of the size effect on nominal fracture energy based on a non‐local consti...

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Bibliographic Details
Published in:International journal for numerical and analytical methods in geomechanics 2004-06, Vol.28 (7-8), p.653-670
Main Authors: Jirásek, M., Rolshoven, S., Grassl, P.
Format: Article
Language:English
Subjects:
Applied sciences
Buildings. Public works
compact tension test
Concretes. Mortars. Grouts
Exact sciences and technology
fracture energy
General (composition, classification, performance, standards, patents, etc.)
Materials
non-local damage
parameter identification
quasibrittle materials
scaling
Strength of materials (elasticity, plasticity, buckling, etc.)
Structural analysis. Stresses
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Summary:Experimental results available in the literature indicate that the nominal fracture energy of concrete (defined as total work of fracture divided by the ligament area) depends on the size of the specimen. Theoretical modelling of the size effect on nominal fracture energy based on a non‐local constitutive model is attempted in this paper. The influence of various details of the integral‐type non‐local formulation, e.g. of the specific form of non‐local averaging in the vicinity of a physical boundary, is studied and a physical explanation is provided. The numerical results are compared to experimental data for notched compact tension specimens, and conclusions are drawn for individual formulations. It is shown that the best agreement with experimentally observed trends is achieved if the notch is modelled as a layer of completely damaged material. Fitting of the size effects on both strength and fracture energy permits a unique identification of the model parameters. Copyright © 2004 John Wiley & Sons, Ltd.
ISSN:0363-9061
1096-9853
DOI:10.1002/nag.364