The prediction of crack initiation and propagation in ductile failure processes are
challenging tasks for the design and fabrication of metallic materials and structures on a …

This work provides a framework for predicting fracture of catalyst coated membrane (CCM)
due to coupled electro-chemo-mechanical degradation processes in proton exchange …

A probabilistic approach to phase-field brittle and ductile fracture with random material and
geometric properties is proposed within this work. In the macroscopic failure mechanics …

Most field theories for active matter neglect effects of memory and inertia. However, recent
experiments have found inertial delay to be important for the motion of self-propelled …

We present a fast evolution numerical algorithm for solving the Allen–Cahn (AC) equations.
One of efficient computational techniques for the AC equation is the operator splitting …

In this paper, we consider efficient and energy-stable numerical schemes for solving a
modified phase-field crystal model with a strong nonlinear vacancy potential. By combining …

In this study, we present a novel conservative Allen–Cahn (CAC) equation and its maximum
principle preserving and unconditionally stable numerical method. There have been many …

The development of refrigeration systems using thermo-acoustic technology is a novel
solution for achieving environmentally friendly refrigerators. A full transient CFD method is …

Purpose The purpose of this study is to develop a new numerical algorithm to simulate the
phase-field model. Design/methodology/approach First, the derivative of the temporal …

In this paper, we introduce second-order numerical schemes for the modified phase field
crystal (MPFC) model that are decoupled, linear, positivity-preserving, and unconditionally …