Crack initiation in brittle materials is not covered by classical fracture mechanics that deals
only with the growth of pre-existing cracks. In order to overcome this deficiency, the Finite …

We present a phase-field model for fracture in Kirchoff–Love thin shells using the local
maximum-entropy (LME) meshfree method. Since the crack is a natural outcome of the …

In this article, we focus on the validation of Francfort and Marigo's variational approach to
fracture based on some classical fracture experiments. We show that this approach can be …

Magnetostrictive alloys are usually brittle materials with micromagnetic structures. Their
structural reliability and durability depend on the complex micromagnetic-mechanical …

We present a family of phase-field models for fracture in piezoelectric and ferroelectric
materials. These models couple a variational formulation of brittle fracture with …

Phase-field modeling is emerging as a promising tool for the treatment of problems with
interfaces. The classical description of interface problems requires the numerical solution of …

A phase field theory incorporating both fracture and deformation twinning behaviors in
crystalline solids is described and implemented in finite element calculations. A variational …

This paper presents for the first time an approach to the problem of electromechanical
fracture and crack propagation in piezoelectric solids with peridynamics. Fracture in …

The mechanical behaviors of polymer composites exhibit strong time-dependent
nonlinearities, and the tensile and compressive strengths can be vastly different. Such a …

Piezoelectrics and ferroelectrics have been widely used in modern industries because of
their peculiar electromechanical coupling properties, quick response, and compact size. In …