Generalized thermoelastic responses in an infinite solid cylinder under the thermoelastic-diffusion model with four lags

Article Physics, Multidisciplinary

An advanced model of thermoelasticity with higher-order memory-dependent derivatives and dual time-delay factors

Ahmed E. Abouelregal

Summary: This study introduces a memory-dependent heat conduction model and analyzes it, showing that various parameters can affect turbulence in the thermal fields.

WAVES IN RANDOM AND COMPLEX MEDIA (2022)

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Article Mechanics

Analysis of a magneto-thermoelastic problem in a piezoelastic medium using the non-local memory-dependent heat conduction theory involving three phase lags

Rakhi Tiwari et al.

Summary: The non-local heat conduction theory helps researchers capture microscopic effects at the macroscopic level with greater accuracy, and has significant applications in various physical fields. The study considers the effects of thermal waves with limited speeds, space non-locality, memory effect, and time delay, and provides computational results illustrating the influence of non-local correlation length parameter, kernel functions, and time delay on physical variables. The numerical results reveal significant differences in studied fields due to the non-locality effect, memory effect, and time delay.

MECHANICS OF TIME-DEPENDENT MATERIALS (2022)

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Article Mathematics, Applied

Magneto-photothermal interaction in a rotating solid cylinder of semiconductor silicone material with time dependent heat flow

A. E. Abouelregal

Summary: A mathematical model linking thermoelasticity to photothermal experiments was proposed, taking the photothermal effect into consideration. The analysis focused on photothermal, thermal, and elastic waves in a rotating solid cylinder of semiconductor material. Sensitivity of the physical fields for angular velocity, phase-lags, and thermal vibration parameters was investigated.

APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION (2021)

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Article Mechanics

Thermal shock fracture associated with a unified fractional heat conduction

ZhangNa Xue et al.

Summary: This study analyzes the thermal fracture problem of an elastic half-space and strip with an insulated Griffith crack based on a newly proposed unified fractional heat conduction model. Different fractional definitions have different memory effects on transient responses, and the effects of fractional definitions on the responses vary with parameter values.

EUROPEAN JOURNAL OF MECHANICS A-SOLIDS (2021)

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Article Mathematics, Interdisciplinary Applications

FRACTIONAL ORDER THERMOELASTICITY FOR PIEZOELECTRIC MATERIALS

Ya Jun Yu et al.

Summary: This study establishes a unified fractional thermoelastic model for piezoelectric structures and investigates the influence of different definitions on transient responses. Theoretical and numerical methods are used to reveal the impact of fractional heat conduction laws on material properties and study the transient responses of piezoelectric materials under thermal shock.

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY (2021)

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Article Physics, Multidisciplinary

Modelling of vibrations of rotating nanoscale beams surrounded by a magnetic field and subjected to a harmonic thermal field using a state-space approach

Ahmed E. Abouelregal et al.

Summary: A mathematical model for rotating thermal nanobeams is presented in this study, which describes the thermoelastic behavior of such beams using a system of equations derived from various theories. The problem is solved using Laplace transform and Fourier series expansion, and the impact of parameters such as rotational angular velocity, nonlocal parameter, temperature change, and magnetic field on nanobeam response is investigated. The results are verified with corresponding literature.

EUROPEAN PHYSICAL JOURNAL PLUS (2021)

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Article Materials Science, Multidisciplinary

A new insight into the interaction of thermoelasticity with mass diffusion for a half-space in the context of Moore-Gibson-Thompson thermodiffusion theory

Ahmed E. Abouelregal et al.

Summary: This research aims to develop a new model to study diffusion in thermoelastic solids and compare the distribution of different physical fields. The findings indicate that under specific conditions, the considered physical fields exist only in a limited area.

APPLIED PHYSICS A-MATERIALS SCIENCE & PROCESSING (2021)

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Article Mathematics

Solution of Moore-Gibson-Thompson Equation of an Unbounded Medium with a Cylindrical Hole

Ahmed E. Abouelregal et al.

Summary: This article discusses the equations governing elastic materials through thermodiffusion, using the Moore-Gibson-Thompson and Green-Naghdi Type III models, and applies Laplace transform techniques for analysis. By studying the interaction between temperature and mass diffusion, solutions are obtained and compared with other models.

MATHEMATICS (2021)

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Article Physics, Multidisciplinary