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 …

This review paper summarizes recent advances and challenges in the assessment of rock
behavior and performance in deep low-permeability and high-temperature geothermal …

Unlike the description of cracks as sharp surfaces which requires different criteria to predict
the onset of crack propagation, the direction of crack growth, possible crack branching, and …

We propose a discrete time model for dynamic fracture based on crack regularization. The
advantages of our approach are threefold: first, our regularization of the crack set has been …

This paper proposes a new 3D continuous-discontinuous heat conduction model to consider
the thermal resistance effect of cracks and dynamic crack propagation during heat transfer …

We test two peridynamic models and one phase field model against recent experimental
tests on dynamic fracture/crack branching in glass induced by impact. We find important …

A thermal–mechanical coupled phase field fracture model is developed to study the complex
dynamic crack propagation path in brittle material under thermal shock loading. By …

In strongly anisotropic materials the orientation-dependent fracture surface energy is a non-
convex function of the crack angle. In this context, the classical Griffith model becomes ill …

Fracture is a fundamental mechanism of materials failure. Propagating cracks can exhibit a
rich dynamical behavior controlled by a subtle interplay between microscopic failure …

Fascinating pattern formation by quasi-static crack growth in thin films has received
increasing interest in both interdisciplinary science and engineering applications. The paper …