The effects of fractional time derivatives in porothermoelastic materials using finite element method

M Marin, A Hobiny, I Abbas - Mathematics, 2021 - mdpi.com
In this work, a new model for porothermoelastic waves under a fractional time derivative and
two time delays is utilized to study temperature increments, stress and the displacement …

A GL model on thermo-elastic interaction in a poroelastic material using finite element method

T Saeed, I Abbas, M Marin - Symmetry, 2020 - mdpi.com
The purpose of this study is to provide a method to investigate the effects of thermal
relaxation times in a poroelastic material by using the finite element method. The …

Thermoelastic interaction in a magneto-thermoelastic rod with memory-dependent derivative due to the presence of moving heat source

S Mondal, A Sur, D Bhattacharya, M Kanoria - Indian Journal of Physics, 2020 - Springer
Fractional derivative is a widely accepted theory to describe the physical phenomena and
the processes with memory effects which is defined in the form of convolution-type integrals …

Photo-thermo-elastic wave propagation in an orthotropic semiconductor with a spherical cavity and memory responses

S Mondal, A Sur - Waves in random and complex media, 2021 - Taylor & Francis
This article highlights on the study of coupled plasma, thermal and elastic waves within an
orthotropic infinite semiconducting medium in context of photothermal transport process …

Memory responses in a three-dimensional thermo-viscoelastic medium

A Sur - Waves in Random and Complex Media, 2022 - Taylor & Francis
Due to the shortcomings of power law distributions in the heat transfer laws of fractional
calculus, some other forms of derivatives with few other kernel functions have been …

Refined two-temperature multi-phase-lags theory for thermomechanical response of microbeams using the modified couple stress analysis

AM Zenkour - Acta Mechanica, 2018 - Springer
This article presents a refined two-temperature multi-phase-lags thermoelasticity theory for
the thermomechanical response of microbeams. The modified couple stress theory has …

Modeling of nonlocal Caputo–Fabrizio integral models in a nanoscale resonator

S Mondal, A Sur - … Methods in Engineering Science and Mechanics, 2024 - Taylor & Francis
In the present work, the nonlocal integral constitutive laws for application to nano-beams,
are investigated in a general setting. Evidence of boundary effects are enlightened by …

Transient response in a thermoelastic half-space solid due to a laser pulse under three theories with memory-dependent derivative

S Mondal, P Pal, M Kanoria - Acta Mechanica, 2019 - Springer
Enlightened by the Caputo fractional derivative, the present study deals with a novel
mathematical model of generalized thermoelasticity to investigate the transient phenomena …

Transient heating within skin tissue due to time-dependent thermal therapy in the context of memory dependent heat transport law

S Mondal, A Sur, M Kanoria - Mechanics Based Design of …, 2021 - Taylor & Francis
In the present analysis, the bio-heat equation has been studied in the context of memory
responses which is defined in the form of convolution having kernels as power functions …

Influence of moving heat source on skin tissue in the context of two-temperature memory-dependent heat transport law

A Sur, S Mondal, M Kanoria - Journal of Thermal Stresses, 2020 - Taylor & Francis
Modeling and understanding heat transport and temperature variations within biological
tissues and body organs are key issues in medical thermal therapeutic applications, such as …