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FE calculations of a deterministic and statistical size effect in concrete under bending within stochastic elasto-plasticity and non-local softening
Highlights ► We investigate a deterministic and statistical size effect in concrete beams. ► We use stochastic elasto-plasticity with nonlocal softening in FE analyses. ► We assume the tensile strength spatially correlated. ► We compare numerical results with the size effect laws by Bazant and Carpinteri.
Abstract The numerical FE investigations of a deterministic and statistical size effect in unnotched concrete beams of similar geometry under quasi-static three point bending were performed within elasto-plasticity with non-local softening. The FE analyses were carried out with four different beam sizes. Deterministic calculations were performed with the uniform distribution of a tensile strength. In turn, in statistical calculations, the tensile strength took the form of spatially correlated random fields described by a truncated Gaussian distribution. In order to reduce the number of statistical realizations without losing the calculation correctness, Latin hypercube sampling was applied. The numerical outcomes showed a strong coupled deterministic and stochastic size effect which was compared with the size effect laws by Bazant and by Carpinteri.
FE calculations of a deterministic and statistical size effect in concrete under bending within stochastic elasto-plasticity and non-local softening
Highlights ► We investigate a deterministic and statistical size effect in concrete beams. ► We use stochastic elasto-plasticity with nonlocal softening in FE analyses. ► We assume the tensile strength spatially correlated. ► We compare numerical results with the size effect laws by Bazant and Carpinteri.
Abstract The numerical FE investigations of a deterministic and statistical size effect in unnotched concrete beams of similar geometry under quasi-static three point bending were performed within elasto-plasticity with non-local softening. The FE analyses were carried out with four different beam sizes. Deterministic calculations were performed with the uniform distribution of a tensile strength. In turn, in statistical calculations, the tensile strength took the form of spatially correlated random fields described by a truncated Gaussian distribution. In order to reduce the number of statistical realizations without losing the calculation correctness, Latin hypercube sampling was applied. The numerical outcomes showed a strong coupled deterministic and stochastic size effect which was compared with the size effect laws by Bazant and by Carpinteri.
FE calculations of a deterministic and statistical size effect in concrete under bending within stochastic elasto-plasticity and non-local softening
Syroka-Korol, E. (author) / Tejchman, J. (author) / Mróz, Z. (author)
Engineering Structures ; 48 ; 205-219
2012-09-13
15 pages
Article (Journal)
Electronic Resource
English
Modelling of size effects in concrete using elasto-plasticity with non-local softening
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