Abstract
In recent years the use of the Mohr-Coulomb type fracture criteria has become popular in ductile fracture prediction. In ductile fracture prediction, fracture criteria are often transformed into the mixed stress strain space formulation and applied to numerical simulations in this formulation. This paper will investigate the shape of the Mohr Coulomb fracture criterion in the mixed stress strain space as a function of the used hardening curve formulation, in particular the hardening curve exponent n that determines the slope of the hardening curve approximation for large strains. It is found that the shape of the fracture criterion significantly depends on the slope of the hardening curve. This makes a correct extrapolation of the hardening curve for large strain values essential for a correct ductile fracture prediction using the Mohr-Coulomb fracture model in its mixed stress strain space formulation.
Highlights
Recent studies have shown good accuracy of Mohr Coulomb type of fracture criteria in ductile fracture prediction [1,2,3,4]
This paper will investigate the shape of the Mohr Coulomb fracture criterion in the mixed stress strain space as a function of the used hardening curve formulation, in particular the hardening curve exponent n that determines the slope of the hardening curve approximation for large strains
This makes a correct extrapolation of the hardening curve for large strain values essential for a correct ductile fracture prediction using the Mohr-Coulomb fracture model in its mixed stress strain space formulation
Summary
Recent studies have shown good accuracy of Mohr Coulomb type of fracture criteria in ductile fracture prediction [1,2,3,4]. In order to account for non-constant stress-states that are dominant in almost every forming process, usually a damage accumulation rule is assumed (equation (1)). In this equation εf (η, θ) is the current fracture strain predicted by the Mohr-Coulomb fracture criterion. In order to calculate it, the criterion is usually expressed in its mixed stress-strain space formulation
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