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In this contribution, a Phase-Field-Based Crack Propagation Model for Simulating Crack Propagation in a Heterogeneous Multiphase System is presented and employed to study crack propagation in a system consisting of brittle, porous and elastic phases. The crack formation in non-homogenous brittle materials is investigated. The phase-field approach is combined with a multiphase-field model that satisfies the phase-jump conditions in diffuse interfaces. The stress and strain fields of the individual phases are evaluated from the internal variables. The validity of the proposed model is shown in comparison with sharp-interface finite element solutions. The influence of different material parameters on the crack propagation behaviour is investigated. To show the applicability of the model, crack propagation in a heterogeneous multiphase domain with brittle and elasto-plastic materials is simulated and compared with experimental data from the literature.

The long-term behaviour of heterogeneous laser-welded Ti-6Al-4V specimens is investigated. The specimens consist of an austenitic base metal and a bainitic filler metal. The specimens are welded with a laser, and the entire volume is heated to the solidification temperature simultaneously. The austenitic base metal and the bainitic filler material are subjected to different cooling rates, which results in different microstructural and tensile properties of the laser-welded specimens. The failure mechanisms of the specimens are investigated using microstructural analysis and tensile tests. The plastic deformation and crack propagation of the laser-welded Ti-6Al-4V specimens are simulated using a Phase-Field-Based Crack Propagation Model based on an elasto-plastic constitutive model that simulates the plastic deformation of the austenitic and bainitic phases. The simulations yield the brittle or softening fracture of the base material on the micro- as well as on the macro-scale. The crack formation and crack propagation in the austenitic base material are simulated for different cooling rates and cooling time to compare with the experimental results. The simulations show that the failure of the specimens is caused by the simultaneous crack formation and propagation in the base material and the bainitic filler material. The simulations show that the failure of the laser-welded Ti-6Al-4V specimens is caused by two mechanisms: the austenite crack formation and the softening of the austenitic base material.

Błażej Bukowski is a professor in the Institute of Materials Science and Engineering (WII) in Warsaw, Poland. He graduated from the Faculty of Material Science and Civil Engineering, the University of Warsaw, Poland, in 2002. Since then, he has been working in Warsaw, where he earned his PhD degree in 2008. In 2011, he joined the Department of Mechanics of Materials at the Faculty of Civil Engineering, University of Zagreb, Croatia. His research interests include fracture mechanics and modeling of materials failure. Currently, he is working in the area of multiphase materials and their properties. His most important achievements include:

Development of an elasto-plastic constitutive model incorporating crack interaction and crack end-effects to study crack propagation in porous materials;

Development of a multiphase-field crack propagation model for complex material fields with arbitrary topology (originally developed as a research tool for studying crack propagation in multiphase materials);

Creation of a multiphase-field approach for brittle and elasto-plastic crack propagation in geological systems consisting of different regions of brittle and ductile materials. 827ec27edc