A review of the recent studies on the generalized thermoelasticity theories and their
associated modified models is presented. The aim is to outline an overview of the utilization …

This book primarily concerns quasilinear and semilinear elliptic and parabolic partial
differential equations, inequalities, and systems. The exposition leads the reader through the …

There are some materials in nature that experience deformations that are not elastic.
Viscoelastic materials are some of them. We come across many such materials in our daily …

The current investigation explores the behavior of pre-stressed viscoelastic Timoshenko
nanobeams under the influence of surface effects and a longitudinal magnetic field. Utilizing …

Mesoscale simulation techniques are becoming increasingly important due to the interest in
complex mechanical problems involving nanomaterials. We propose applying the …

We investigate the pure bending of an elastic prismatic beam, but unlike in the classical
setting we assume that the material parameters are density-dependent. The corresponding …

In this work, existence results on nonlinear first order as well as doubly nonlinear second-
order evolution equations involving the fractional-Laplacian are presented. The proofs do …

We introduce a one-dimensional stress-rate type nonlinear viscoelastic model for solids that
obey the assumptions of the strain-limiting theory. Unlike the classical viscoelasticity theory …

The Boussinesq problem, namely the indentation of a flat-ended cylindrical punch into a
viscoelastic half-space is studied. We assume a linear viscoelastic model wherein the …

An output power imbalance usually occurs in the driving motor of pipe belt conveyor due to
the load disturbance and a variety of environmental interferences. This paper focuses on the …