We investigate phase-field modeling of brittle fracture in a one-dimensional bar featuring continuous variation elastic and/or properties along its axis. Our main goal is to quantitatively assess how the heterogeneity and material influences observed behavior bar, as obtained from approach. The results clarify limit stress, peak stress toughness heterogeneous relate those reference homogeneous ...

In recent years, the phase-field method has attracted a lot of attention and emerged as one most efficient tools for modeling fracture phase transformation. The is based on regularization discontinuities which allows resolution complex problems using classical numerical methods. A multiphase-field model essential describing crack propagation in non-static heterogeneous materials still missing. ...

A series of earthquake events give impetus to research on the ductile fracture behavior steel materials. In last decades, many models have been developed and utilized in mechanical or aerospace engineering. Nevertheless, very little application structural members used construction industry has made due lack a suitable model for constructional steel. This paper presents experimental finite eleme...