Article
Engineering, Civil
Hamid Sharifi
Summary: This research studies the thermoelastic response of an orthotropic hollow cylinder under thermal shock using generalized thermoelasticity. The governing equations are derived and an analytical solution is presented using Finite Hankel transformation. The results are validated by comparing with known data in the literature.
THIN-WALLED STRUCTURES
(2023)
Article
Mechanics
Mehdi Karimipour Dehkordi, Yaser Kiani
Summary: The current investigation focuses on the response of a hollow cylinder within the framework of generalized magneto-thermoelasticity. The results show the propagation and reflection of thermal, electrical, mechanical and magnetic waves. It is verified that temperature propagates with a finite speed.
Article
Mathematics, Interdisciplinary Applications
Eman A. N. Al-Lehaibi
Summary: This work presents a new thermoelastic model for an isotropic and homogeneous annular cylinder. The inner surface of the cylinder is subjected to thermal shock, while the outer surface remains with no change in temperature and volumetric strain. The governing equations of the model, based on the hyperbolic two-temperature generalized thermoelasticity with fractional-order strain theory, have been derived. Numerical solutions are used to illustrate the effects of fractional-order and two-temperature parameters on the thermal and mechanical waves, including the distributions of temperature, displacement, strain, and stress.
FRACTAL AND FRACTIONAL
(2023)
Article
Physics, Multidisciplinary
Hany Sherief, A. Abd El-Latief
Summary: In this study, the generalized thermoelastic theory was applied to solve a 2D problem of a long circular cylinder made of realistic material. Numerical methods were used to obtain the distributions of temperature, displacement, and stresses, and a comparison was made between the cases of variable and constant thermal conductivity.
WAVES IN RANDOM AND COMPLEX MEDIA
(2022)
Article
Multidisciplinary Sciences
Merfat H. Raddadi, Kh. Lotfy, A. El-Bary, N. Anwer, R. S. Tantawi
Summary: A novel model in photo-thermoelasticity theory with microstretch properties is studied, where plasma-elastic-thermal plane waves are propagated in a linear isotropic generalized photo-thermo-microstretch elastic semiconductor solid medium. The analytical solution of main physical fields can be obtained using harmonic wave techniques.
JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE
(2021)
Article
Thermodynamics
Shilpa Chaudhary, Sunita Deswal, Sandeep Singh Sheoran
Summary: This study analyzes the behavior of plane waves within a nonlocal transversely isotropic visco-thermoelastic medium with variable thermal conductivity. Numerical computations are used to determine the amplitude ratios, phase speeds, and energy partition. The results demonstrate that the amplitude ratios are significantly influenced by variable thermal conductivity, nonlocal parameters, and viscosity, and the phase speeds depend on the angle of incidence.
INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW
(2023)
Article
Mechanics
Ahmed E. Abouelregal, Doaa Atta, Hamid M. Sedighi
Summary: This study presents a theoretical framework for analyzing a nonlocal thermoelastic model with a general kernel function and two time delays. The model aims to study the thermomechanical response of size-dependent nanobeams. The problem is formulated using nonlocal elasticity theory and a generalized heat conduction model with phase delays. The model considers a linear variation of thermal conductivity with temperature and applies a variable harmonic heat source as excitation with time-dependent exponential decaying load. Semi-analytical solutions for displacements, temperature, and bending moment are examined using Laplace transform method. The effects of the nonlocal parameter and various loading conditions are investigated and discussed. The study also demonstrates how the linear variation of thermal conductivity can affect the system's performance.
ARCHIVE OF APPLIED MECHANICS
(2023)
Article
Mathematics, Applied
Abdelmooty M. Abd-Alla, Sayed M. Abo-Dahab, Araby A. Kilany
Summary: This article estimates the impact of rotation on a generalized thermoelasticity model for an annular cylinder with temperature-dependent properties. Numerical results demonstrate the influence of various parameters and compare the current findings with previous studies that neglect certain parameters.
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
(2021)
Article
Construction & Building Technology
Aatef D. Hobiny, Ibrahim A. Abbas, C. Alaa A. El-Bary
Summary: This article explores the issue of semiconductors half-space comprised of materials with varying thermal conductivity. The problem is studied within the framework of the generalized thermoelastic model under one thermal relaxation time. Numerical solutions are obtained using the finite element method, and the analytical solution is found using the eigenvalue approach and Laplace transform. Comparisons between numerical findings and analytical solutions are used to examine the accuracy of the proposed approach.
STEEL AND COMPOSITE STRUCTURES
(2023)
Article
Physics, Applied
Ahmed E. Abouelregal, Hijaz Ahmad, Taher A. Nofal, Hanaa Abu-Zinadah
Summary: This paper analyzes the thermoelastic dynamic behavior of simply supported viscoelastic nanobeams of fractional derivative type due to a dynamic strength load, using numerical calculations and comparing results of different viscoelastic models.
MODERN PHYSICS LETTERS B
(2021)
Article
Mathematics
Aatef Hobiny, Ibrahim Abbas
Summary: This article addresses a thermoelastic problem in an orthotropic material with spherical cavities, studying the effects of varying thermal conductivity and the use of Kirchhoff's transformation. Numerical solutions are derived using the finite element technique, with and without Kirchhoff's transformation. The results show that solving the nonlinear problem without Kirchhoff's transformation is challenging, while using Kirchhoff's transformation in a linear example provides a solution through Laplace transform and eigenvalues technique. The effects of variable thermal conductivity with and without Kirchhoff's transformation are compared and graphically represented, showing a limited speed for the propagations of mechanical and thermal waves.
Article
Mathematics, Applied
Komal Jangid, Santwana Mukhopadhyay
Summary: This study presents a numerical method based on Legendre Wavelet for the thermo-mechanical coupling analysis of poroelastic material. The proposed method linearizes the nonlinear terms in the governing equations due to variable thermal conductivity using the Kirchhoff mapping. It discretizes the time domain using a finite-difference approach and approximates the space domain with Legendre wavelets.
COMPUTERS & MATHEMATICS WITH APPLICATIONS
(2023)
Article
Physics, Multidisciplinary
G. Kumaran, R. Sivaraj, V. Ramachandra Prasad, O. Anwar Beg, Ram Prakash Sharma
Summary: This study analyzes the impact of thermal conductivity variation and thermal radiation on the flow of reacting nanofluid over a cylinder. Mathematical models are developed to study the variations in thermophysical properties in industrial thermal systems and their effects on transport characteristics. The results show that amplifying thermal conductivity variation increases fluid velocity and temperature, while magnifying radiation weakens heat transfer and increases mass transfer.
Article
Physics, Multidisciplinary
Ahmed E. Abouelregal, Hijaz Ahmad, Ahmed M. H. Yahya, Anouar Saidi, Husam Alfadil
Summary: Understanding thermal diffusion through elastic materials is important for linking temperature, strain, and mass diffusion. Traditional models have flaws, so a new model is proposed with extended equations for heat conduction and mass diffusion. The model is applied to investigate thermoelastic diffusion in solid materials, and numerical results are used to show the thermodiffusion fields.
CHINESE JOURNAL OF PHYSICS
(2022)
Article
Mechanics
Sushant Shekhar
Summary: The study focuses on numerically investigating the deformation in a thermoelastic material with voids and a single relaxation time, considering the dependence of modulus of elasticity and thermal conductivity on reference temperature. Two cases of linear and quadratic dependency have been studied, using the finite element method with isoparametric finite elements. The comparison between finite element method and Laplace/Fourier transformation shows the former's advantage in predicting deformation accurately. The impact of thermal relaxation time on various results is observed and discussed.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
(2022)
