A Multi-Scale Numerical Method for the Study of Size-Scale Effects in Ductile Fracture
AbstractThe use of a stress-strain constitutive relation for the undamaged material and a traction-separation cohesive crack model with softening for cracking has been demonstrated to be an effective strategy to predict and explain the size-scale effects on the mechanical response of quasi-brittle materials. In metals, where ductile fracture takes place, the situation is more complex due to the interplay between plasticity and fracture. In the present study, we propose a multi-scale numerical method where the shape of a global constitutive relation used at the macro-scale, the so-called hardening cohesive zone model, can be deduced from meso-scale numerical simulations of polycrystalline metals in tension. The shape of this constitutive relation, characterized by an almost linear initial branch followed by a plastic plateau with hardening and finally by softening, is in fact the result of the interplay between two basic forms of nonlinearities: elasto-plasticity inside the grains and classic cohesive cracking for the grain boundaries. View Full-Text
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Corrado, M.; Paggi, M.; Carpinteri, A. A Multi-Scale Numerical Method for the Study of Size-Scale Effects in Ductile Fracture. Metals 2014, 4, 428-444.
Corrado M, Paggi M, Carpinteri A. A Multi-Scale Numerical Method for the Study of Size-Scale Effects in Ductile Fracture. Metals. 2014; 4(3):428-444.Chicago/Turabian Style
Corrado, Mauro; Paggi, Marco; Carpinteri, Alberto. 2014. "A Multi-Scale Numerical Method for the Study of Size-Scale Effects in Ductile Fracture." Metals 4, no. 3: 428-444.