Calibration of nonlocal models for tensile fracture in quasi-brittle heterogeneous materials

A new calibration strategy for integral-type nonlocal damage models for quasi-brittle materials is proposed. It is based on the assumption that in the fracture process zone in quasi-brittle materials the large majority of energy is dissipated in a localised rough crack. Measuring the roughness of th...

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Published inJournal of the mechanics and physics of solids Vol. 82; pp. 48 - 60
Main Authors Xenos, Dimitrios, Grégoire, David, Morel, Stéphane, Grassl, Peter
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.09.2015
Elsevier
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Abstract A new calibration strategy for integral-type nonlocal damage models for quasi-brittle materials is proposed. It is based on the assumption that in the fracture process zone in quasi-brittle materials the large majority of energy is dissipated in a localised rough crack. Measuring the roughness of the fracture surface allows for calibrating the interaction radius of nonlocal models by matching experimental and numerical standard deviations of spatial distributions of dissipated energy densities. Firstly, fracture analyses with a lattice model with random fields for strength and fracture energy are used to support the assumptions of the calibration process. Then, the calibration strategy is applied to an integral-type nonlocal damage model for the case of a fracture surface of a three-point bending test.
AbstractList A new calibration strategy for integral-type nonlocal damage models for quasi-brittle materials is proposed. It is based on the assumption that in the fracture process zone in quasi-brittle materials the large majority of energy is dissipated in a localised rough crack. Measuring the roughness of the fracture surface allows for calibrating the interaction radius of nonlocal models by matching experimental and numerical standard deviations of spatial distributions of dissipated energy densities. Firstly, fracture analyses with a lattice model with random fields for strength and fracture energy are used to support the assumptions of the calibration process. Then, the calibration strategy is applied to an integral-type nonlocal damage model for the case of a fracture surface of a three-point bending test.
Author Grégoire, David
Morel, Stéphane
Grassl, Peter
Xenos, Dimitrios
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  givenname: Peter
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  surname: Grassl
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Keywords Damage mechanics
Fracture
Nonlocal model
Calibration
Quasi-brittle materials
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Snippet A new calibration strategy for integral-type nonlocal damage models for quasi-brittle materials is proposed. It is based on the assumption that in the fracture...
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SubjectTerms Calibration
Civil Engineering
Damage assessment
Damage mechanics
Dissipation
Engineering Sciences
Fracture
Fracture mechanics
Fracture surfaces
Fracture toughness
Mathematical models
Mechanics
Nonlocal model
Quasi-brittle materials
Strategy
Title Calibration of nonlocal models for tensile fracture in quasi-brittle heterogeneous materials
URI https://dx.doi.org/10.1016/j.jmps.2015.05.019
https://search.proquest.com/docview/1825477736
https://hal.science/hal-01157972
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