Abstract

We have developed a constitutive model and fracture criteria which can capture the competition between the ductile mechanism of inelastic deformation by “shear-yielding” and eventual ductile tearing, typically observed in polycarbonate under states of low triaxial tension, and the brittle cracking phenomenon that is observed in states of high triaxial tension. We have implemented the constitutive model in a finite element computer program which permits the modelling of failure, when user-specified fracture criteria are met, by an element removal technique. We show that our theory, when suitably implemented and calibrated, is able to quantitatively predict the experimentally-observed ductile failure response of blunt-notched beams, as well as the competition between the brittle and ductile mechanisms in more sharply-notched beams of polycarbonate in bending.

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