Nonlocal theory of thermoelastic materials with voids and fractional derivative heat transfer

M Bachher, N Sarkar - Waves in Random and Complex Media, 2019 - Taylor & Francis
ABSTRACT A new nonlocal theory of generalized thermoelastic materials with voids based
on Eringen's nonlocal elasticity and Caputo fractional derivative is established. The one …

[HTML][HTML] Optimal decay for a porous elasticity system with memory

B Feng, TA Apalara - Journal of Mathematical Analysis and Applications, 2019 - Elsevier
In this paper, we consider a one-dimensional linear porous system with finite memory
effective on the equilibrated stress vector. By assuming minimal conditions on the relaxation …

[HTML][HTML] General decay of solutions in one-dimensional porous-elastic system with memory

TA Apalara - Journal of Mathematical Analysis and Applications, 2019 - Elsevier
In this work we consider a one-dimensional porous-elastic system with memory effects. It is
well-known that porous-elastic system with a single dissipation mechanism lacks …

On the decay of solutions for porous-elastic systems with history

PX Pamplona, JEM Rivera, R Quintanilla - Journal of mathematical analysis …, 2011 - Elsevier
In this paper we study the asymptotic behavior to an one-dimensional porous-elasticity
problem with history. We show the lack of exponential stability when the porous dissipation …

Decay of solutions for a one-dimensional porous elasticity system with memory: the case of non-equal wave speeds

B Feng, M Yin - Mathematics and Mechanics of Solids, 2019 - journals.sagepub.com
In previous work, Apalara considered a one-dimensional porous elasticity system with
memory and established a general decay of energy for the system in the case of equal …

Exponential decay in one-dimensional porous dissipation elasticity

TA Apalara - The Quarterly Journal of Mechanics and Applied …, 2017 - academic.oup.com
Of concern in this work is a linear one-dimensional porous-elastic system with dissipation
only on the porous equation. It is well-known in the literature that the system with such …

A general decay for a weakly nonlinearly damped porous system

TA Apalara - Journal of Dynamical and Control Systems, 2019 - Springer
In this paper, we consider a one-dimensional porous system damped with a single weakly
nonlinear feedback. Without imposing any restrictive growth assumption near the origin on …

On the stability of porous-elastic system with microtemparatures

TA Apalara - Journal of Thermal Stresses, 2019 - Taylor & Francis
In this article, we investigate a porous-elastic system with dissipation due to only
microtemperatures. It is well-known that such a system with a single damping term lacks …

On porous-elastic system with localized damping

ML Santos, DS Almeida Junior - Zeitschrift für angewandte Mathematik und …, 2016 - Springer
In this article, we are considering the one-dimensional equations of an homogeneous and
isotropic porous elastic solid, where the localized damping involves the sum of displacement …

On the stabilization of linear porous elastic materials by microtemperature effect and porous damping

H Dridi, A Djebabla - ANNALI DELL'UNIVERSITA'DI FERRARA, 2020 - Springer
In this paper, we study the asymptotic behavior of solutions for the porous thermoelastic
system with temperatures and microtemperatures effects. Our main result is to prove the …