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Computers and Concrete Volume 4, Number 5, October 2007 , pages 377-402 DOI: https://doi.org/10.12989/cac.2007.4.5.377 |
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Simulations of spacing of localized zones in reinforced concrete beams using elasto-plasticity and damage mechanics with non-local softening |
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I. Marzec, J. Bobinski and J. Tejchman
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Abstract | ||
The paper presents quasi-static plane strain FE-simulations of strain localization in reinforced concrete beams without stirrups. The material was modeled with two different isotropic continuum crack models: an elasto-plastic and a damage one. In case of elasto-plasticity, linear Drucker-Prager criterion with a non-associated flow rule was defined in the compressive regime and a Rankine criterion with an associated flow rule was adopted in the tensile regime. In the case of a damage model, the degradation of the material due to micro-cracking was described with a single scalar damage parameter. To ensure the mesh-independence and to capture size effects, both criteria were enhanced in a softening regime by nonlocal terms. Thus, a characteristic length of micro-structure was included. The effect of a characteristic length, reinforcement ratio, bond-slip stiffness, fracture energy and beam size on strain localization was investigated. The numerical results with reinforced concrete beams were quantitatively compared with corresponding laboratory tests by Walraven (1978). | ||
Key Words | ||
bond-slip; concrete; characteristic length; damage mechanics; elasto-plasticity; nonlocal theory; reinforcement; strain localization. | ||
Address | ||
I. Marzec, J. Bobinski and J. Tejchman; Gdansk University of Technology Faculty of Civil and Environmental Engineering 80-952 Gdansk, Poland | ||