Phase field fracture models have seen widespread application in the last decade. Among these applications, its use to model evolution of fatigue cracks has attracted particular interest, as damage behaviour can be predicted for arbitrary loading histories, dimensions and complexity cracking phenomena at play. However, while cycle-by-cycle calculations are remarkably flexible, they also computat...

Nowadays, the technology intends to use materials such as magnesium alloys due to their high strength to weight ratio in engine components. As usual, engine cylinder heads and blocks has made of various types of cast irons and aluminum alloys. However, magnesium alloys has physical and mechanical properties near to aluminum alloys and reduce the weight up to 40 percents. In this article, a new ...