This paper presents an overview of the theories and computer implementation aspects of
phase field models (PFM) of fracture. The advantage of PFM over discontinuous approaches …

Motivated by the successful implementation of the phase-field method (PFM) to simulate
complicated fracture patterns at moderate computational costs in solid materials, many …

Compressive-shear fracture is commonly observed in rock-like materials. However, this
fracture type cannot be captured by current phase field models (PFMs), which have been …

Computational modeling of the initiation and propagation of complex fracture is central to the
discipline of engineering fracture mechanics. This review focuses on two promising …

Under a pure tensile loading, cracks in brittle, isotropic, and homogeneous materials often
propagate such that pure mode I kinematics are maintained at the crack tip. However …

Cracking of rocks and rock-like materials exhibits a rich variety of patterns where tensile
(mode I) and shear (mode II) fractures are often interwoven. These mixed-mode fractures are …

We investigate three aspects of material behavior in this ninth installment of the Cam-Clay
series, namely, anisotropy, heterogeneity, and viscoplasticity. The main focus of the paper is …

The development of an elasto-plastic phase-field model is presented which is able to predict
nonlinear behavior of high performance concrete (HPC) during low-cycle fatigue. An elasto …

We present a new phase-field formulation for the formation and propagation of a compaction
band in high-porosity rocks. Novel features of the proposed formulation include (a) the …

Variationally consistent phase-field methods have been well established in the recent
decade. A wide range of applications to brittle and ductile fracture problems could already …