Gradient Elastodamage Model for Quasi-Brittle Materials with an Evolving Internal Length
Publication: Journal of Engineering Mechanics
Volume 141, Issue 4
Abstract
The article presents a new approach based on a strain gradient damage constitutive law for modeling quasi-brittle materials such as concrete. The authors use a weak type nonlocal formulation of the problem, relying on Mindlin’s Form II strain gradient elasticity theory. Gibbs free energy is used and the influence of the positive and negative principal strains to damage evolution is separated. Additional energy dissipation due to the gradient of the positive principal strains is introduced. The model requires an internal length, which is treated as an internal variable dependent on the level of damage. The study shows that the internal length increases with damage, corroborating available experimental results. Calibration of the gradient internal length evolution with damage is established through experimental data from two independent tests: a uniaxial tension or compression test to establish the evolution of damage, and a four-point bending (loading-unloading) test to relate the variation of the internal length with the accumulated level of damage. A numerical analysis of the response of a concrete beam specimen under four-point bending is presented to describe the calibration procedure.
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Acknowledgments
This work is part of the Herakleitos II project of the Greek Ministry of National Education for basic research on the size effect phenomena of concrete and is cofinanced by the European Union [European Social Fund (ESF)] and Greek National funds through the Education and Lifelong Learning operational program of the National Strategic Reference Framework (NSRF). The experimental work presented here was performed in the Reinforced Concrete Technology and Structures Laboratory of the Civil Engineering Department at the University of Thessaly.
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Published In
Journal of Engineering Mechanics
Volume 141 • Issue 4 • April 2015
Copyright
© 2014 American Society of Civil Engineers.
History
Received: May 11, 2014
Accepted: Jul 25, 2014
Published online: Sep 8, 2014
Published in print: Apr 1, 2015
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