Modeling of phenomena such as anomalous transport via fractional-order differential
equations has been established as an effective alternative to partial differential equations …

In this article, our purpose is to study the existence and uniqueness of a solution to a
damped variable order fractional subdiffusion equation with time delay. Under weak …

The micropolar continuum explains the size effects in the materials with microstructures by
attaching micro-rotations to the material points, but it still encounters difficulties when …

This study presents the formulation of the variable-order continuum mechanics theory and its
application to the analysis of nonlocal heterogeneous solids. The variable-order continuum …

The fragmentation behavior of particle materials is widely observed in natural environments,
engineering applications, and other fields. It is an important factor contributing to natural …

This study presents a physically-consistent displacement-driven reformulation of the concept
of action-at-a-distance, which is at the foundation of nonlocal elasticity. In contrast to the …

As previous studies have neglected the effect of cracking on the deformation of hard and
brittle materials during processing, our interest lies in assessing how cracking affects the …

This work investigates the application of space–time fractional-order operators to the
simulation of linear elastic waves propagating in 1D periodic structures resting on a …

Battery aging is one of the key challenges that electrochemical energy storage faces.
Models for both cycling and calendar aging are valuable for quantitatively assessing their …

We propose a field-enriched finite element model to simulate the dynamic growth of moving
cracks in brittle solids. The paper introduces the dynamic model and verifies its accuracy by …