Dynamic fracture analysis in quasi-brittle materials via a finite element approach based on the combination of the ALE formulation and M−integral method

• A novel modeling approach to simulate dynamic crack growth phenomena is proposed. The method adopts a Moving Mesh strategy based on the ALE reproduce growth. formulation of M−integral implemented in numerical model. used extract mixed-mode Dynamic Stress Intensity Factors. Comparisons with experimental data and results assess reliability. This work proposes an efficient FE-based for reproducing propagation quasi-brittle materials. proposed model uses technique Arbitrary Lagrangian-Eulerian (ALE) adapt computational mesh consistently geometry variations caused by dynamically growing cracks. Specifically, motion nodes occurs according Fracture Mechanics criteria, which provide suitable conditions regarding direction velocity tip. These usually depend Factors (DSIFs) at front. For extracting DIFSs moving tip, this introduces M −integral as key novelty. offers advantage performing integration procedures deforming finite elements without losing accuracy. validity has been assessed through comparisons reported literature.