Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Phase-Field Model for the Simulation of Brittle-Anisotropic and Ductile Crack Propagation in Composite Materials

Version 1 : Received: 26 July 2021 / Approved: 28 July 2021 / Online: 28 July 2021 (12:16:13 CEST)

A peer-reviewed article of this Preprint also exists.

Herrmann, C.; Schneider, D.; Schoof, E.; Schwab, F.; Nestler, B. Phase-Field Model for the Simulation of Brittle-Anisotropic and Ductile Crack Propagation in Composite Materials. Materials 2021, 14, 4956. Herrmann, C.; Schneider, D.; Schoof, E.; Schwab, F.; Nestler, B. Phase-Field Model for the Simulation of Brittle-Anisotropic and Ductile Crack Propagation in Composite Materials. Materials 2021, 14, 4956.

Journal reference: Materials 2021, 14, 4956
DOI: 10.3390/ma14174956

Abstract

In this work, a small-strain phase-field model is presented, which is able to predict crack propagation in systems with anisotropic brittle and ductile constituents. To model the anisotropic brittle crack propagation, an anisotropic critical energy release rate is used. The brittle constituents behave linear-elastically, in a transversely isotropic manner. Ductile crack growth is realised by a special crack degradation function, depending on the accumulated plastic strain, which is calculated by following the J2-plasticity theory. The mechanical jump conditions are applied in solid-solid phase transition regions. The influence of the relevant model parameters on a crack, propagating through a planar brittle-ductile interface, and furthermore a crack developing in a domain with a single anisotropic brittle ellipsoid, embedded in a ductile matrix, is investigated. We demonstrate that important properties, concerning the mechanical behaviour of grey cast iron, such as the favoured growth of cracks along the graphite lamellae and the tension-compression load asymmetry of the stress-strain response, are covered by the model. The behaviour is analysed on basis of a simulation domain consisting of three differently oriented elliptical inclusions, embedded in a ductile matrix, which is subjected to tensile and compressive load. The used material parameters correspond to graphite lamellae and pearlite.

Keywords

phase-field; multiphase-field; grey cast iron; brittle fracture; ductile fracture; anisotropic fracture

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