Abstract
The evolution of the response of an elastic-plastic bar from the initial unstressed state to rupture is studied with a one-dimensional model based on incremental energy minimization. The model can reproduce both brittle and ductile fracture, as well as an intermediate fracture mode, called ductile–brittle, in which, due to an extreme localization of the plastic deformation, the bar suddenly breaks after a more or less protracted plastic regime. Numerical simulations obtained from the model’s implementation are compared with the results of tensile tests on bars made of steel and of non-reinforced concrete. With an accurate choice of the analytical shapes of the plastic strain energy, not only the overall behavior, but also many details of the experimental response can be captured.
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© 2016 Springer International Publishing Switzerland
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Del Piero, G. (2016). The Variational Approach to Fracture: A Theoretical Model and Some Numerical Results. In: Frediani, A., Mohammadi, B., Pironneau, O., Cipolla, V. (eds) Variational Analysis and Aerospace Engineering. Springer Optimization and Its Applications, vol 116. Springer, Cham. https://doi.org/10.1007/978-3-319-45680-5_7
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DOI: https://doi.org/10.1007/978-3-319-45680-5_7
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