Innovations of advanced materials have been at the core of most engineering technologies,
devices and systems. Composite laminates in particular have been extensively employed in …

Fracture is one of the most commonly encountered failure modes of engineering materials
and structures. Prevention of cracking-induced failure is, therefore, a major concern in …

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 …

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 …

A new phase method for predicting crack propagation path and mechanical response of
fiber reinforced composite laminate is proposed. A new three-dimensional (3D) crack …

Phase-field crack approximation relies on the proper definition of the crack driving strain
energy density to govern the crack evolution and a realistic model for the modified stresses …

Irreversible evolution is one of the central concepts as well as implementation challenges of
both the variational approach to fracture by Francfort and Marigo (1998) and its regularized …

A new multi-phase-field method is developed for modeling the fracture of polycrystals at the
microstructural level. Inter and transgranular cracking, as well as anisotropic effects of both …

Fracture of composites consisting of isotropic matrix and anisotropic fibers is an essential
problem in many engineering applications. The computational simulation of such a fracture …

Fiber reinforced composites have very excellent mechanical properties due to their sophistic
microstructures. At the same time these microstructures can induce complex failure …