Phase field approaches have been developed to analyze the failure behavior of ductile
materials. In the previous phase field models, a constant critical energy or strain threshold is …

Abstract Insulated Gate Bipolar Transistor (IGBT) is a key device in power system. During its
service, due to the mismatch of thermal expansion coefficients, cracking of the solder layer …

In this work, we present a nonlocal phase field model for damage in brittle materials. We
define a non-conservative order parameter for representing the damage. The Helmholtz free …

The objective of the current study is to introduce a coupled thermo-mechanical phase field
model to elucidate shear ductile fracture under varying strain rates and temperatures. Both …

In this paper, an anisotropic ductile fracture is studied using a phase-field model. This model
is on the basis of the energy principle in which a scalar field is added as a phase-field …

The phase field fracture model has gained significant usage due to its superior capability for
capturing intricate fracture phenomena such as crack nucleation, propagation, and …