Article
Mathematics
Ashraf M. Zenkour, Tareq Saeed, Khadijah M. Alnefaie
Summary: Based on the Green-Lindsay generalized thermoelasticity theory, this paper proposes a new refined higher-order time-derivative thermoelasticity model. The model considers a thinner one-dimensional skin tissue with its inner surface free of traction and without any temperature increase. The heating of the skin tissue's bounding surface follows a ramp-type heating. The governing equations of the proposed model are derived, and the problem is solved using the Laplace transform and the inverse Laplace transform with Tzuo's method. Numerical results are obtained for the field quantities, and the current model is compared with two different theories of thermoelasticity to analyze the effects of various parameters on thermomechanical waves through the skin tissue.
Article
Mechanics
Wael W. Mohammed, Ahmed E. Abouelregal, M. I. A. Othman, A. E. Hamza, F. E. Mansour, R. Kumar
Summary: This article presents a mathematical model that utilizes Eringen's nonlocal elasticity theory to describe the free vibratory motion of rotating nanoscale beams. The system of equations for rotating thermoelastic nanobeams is derived using the Euler-Bernoulli beam theory, Eringen's nonlocal elasticity theory, and generalized thermoelasticity with phase-lags. Numerical results and graphical displays of the physical fields under investigation are provided, and the impacts of various factors are studied and analyzed.
ARCHIVE OF APPLIED MECHANICS
(2022)
Article
Mathematics, Applied
Karel Van Bockstal, Liviu Marin
Summary: This paper investigates the inverse source problems in thermoelasticity system and proposes numerical algorithms for their solutions. The convergence and stability of the algorithms are validated through numerical examples.
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
(2022)
Article
Mathematics
Mohsen Fayik, Sharifah E. E. Alhazmi, Mohamed A. A. Abdou, Emad Awad
Summary: The present study estimates the thermal stress distribution and displacement vector inside a nano-thick infinite plate subjected to exponential boundary heating on the front surface. Three different models of thermal transport were considered, and their main features were analyzed. The derived expressions for thermal and mechanical wave speeds show that the modified hyperbolic dual-phase-lag model has the fastest thermal wave speed, while the Lord-Shulman model has the slowest thermal wave speed.
Article
Mechanics
Nagesh Dhore, Lalsingh Khalsa, Vinod Varghese
Summary: This study investigates the effects of coupled temperature and moisture in a non-simple nano-beam subjected to hygrothermal loading using a two-temperature hygrothermoelastic model. The hygrothermal distribution of an Euler-Bernoulli beam with a rectangular cross-section is analyzed. A closed-form solution for temperature, moisture, displacement, and hygrothermal stresses is obtained using decoupling and integral transform methods. A numerical example is calculated to illustrate the effect of the ramping time parameter in the hygrothermal field with porous composite material at the picoseconds scale. The study examines the relevance of various characteristics and provides appropriate discussions and conclusions.
ARCHIVE OF APPLIED MECHANICS
(2023)
Article
Polymer Science
Andrii Kondratiev, Vaclav Pistek, Oleksii Vambol, Pavel Kucera
Summary: This paper discusses the development of a method to predict the residual stress-strain behavior of composite materials. The method establishes the relationship between molding process parameters and the distribution of the temperature field, stresses, and strains in the molded product. Experimental studies show that the heating rate affects the amount of residual deformation, with higher heating rates resulting in larger deflections.
Article
Construction & Building Technology
Yaohuan Wu, Jun Li
Summary: A three-dimensional nonlinear finite element model was developed to predict the thermal and mechanical behaviors of RC T-beam under different temperature-time curves. Numerical results showed that the temperature and stress of the T-beam varied under different temperature-time curves.
JOURNAL OF BUILDING ENGINEERING
(2022)
Article
Thermodynamics
Farshad Shakeriaski, Maryam Ghodrat
Summary: This article presents an algorithm for studying the nonlinear transient response of an elastic body with temperature-dependent material features. The algorithm uses a finite strain theory to model the temperature and strain rate dependencies and solves the coupled equations of energy and motion using a finite element technique. The results show that the temperature dependency of the material features has a significant influence on the thermoelastic transient response.
JOURNAL OF THERMAL ANALYSIS AND CALORIMETRY
(2022)
Article
Mechanics
Shreen El-Sapa, Mohamed S. Mohamed, Kh Lotfy, A. M. S. Mahdy, A. El-Bary
Summary: This work introduces a novel model that describes the elastic-mechanical-thermodiffusion waves of semiconductor material. The model considers the interaction between holes and electrons when the material is exposed to laser pulses. The thermal conductivity is chosen as a function of temperature. The photothermal effect is obtained based on the temperature gradient. The one-dimensional deformation is used to explain the main governing equations. The solution of the fields is obtained algebraically using the Laplace transform, and the inversion of the transform is used to obtain solutions in real space-time domain. Numerical results and graphical comparisons are used to analyze the impact of laser pulses, variable thermal conductivity, and thermal memories.
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
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)
Article
Multidisciplinary Sciences
I. De Schoenmacker, J. Archibald, J. L. K. Kramer, M. Hubli
Summary: Contact heat evoked potentials (CHEPs) are an important measure for investigating the integrity of the nociceptive neuraxis. This study suggests that faster heating ramps can improve the acquisition of CHEPs and potentially reduce false negative results in clinical diagnosis.
SCIENTIFIC REPORTS
(2022)
Article
Physics, Particles & Fields
Luciano M. Abreu, Felipe J. Llanes-Estrada
Summary: Triangle singularities of hadron spectroscopy can be strongly affected in heavy ion collisions, particularly under finite temperature conditions in the terminal hadron phase. When the flight-time of the intermediate hadron state is comparable to the equilibrated fireball's lifetime and medium effects on the triangle-loop particle mass or width are significant, the singularity can be quickly reduced by the medium, acting as a spectroscopic filter.
EUROPEAN PHYSICAL JOURNAL C
(2021)
Article
Chemistry, Physical
Mohammed Sobhy, Ashraf M. Zenkour
Summary: This article presents a mathematical model of thermoelastic skin tissue based on a refined Lord-Shulman heat conduction theory. Laplace transform techniques are applied to calculate numerical outcomes and graphically represent the significant impacts on temperature, dilatation, displacement, and stress distributions.
Article
Construction & Building Technology
Deju Zhu, Sai Liu, Md Zillur Rahman, Shuaicheng Guo, Zhaohui (Joey) Yang
Summary: A new design for a floor electrical heating system using commercially available carbon fiber tape as the heating source embedded in cement mortar was proposed. Experimental and numerical analysis showed stable heating performance and high heating flux. Optimization of the system effectively reduced energy consumption and improved heating efficiency.
JOURNAL OF BUILDING ENGINEERING
(2022)
Article
Mechanics
Tareq Saeed, Ibrahim Abbas
Summary: This study investigates the transient phenomena in a spherical tissue caused by a laser heat source using mathematical models based on the non-linear dual phase lag model. The finite element method is adopted to obtain the solutions of this problem due to the nonlinearity of the basic equations. The numerical results obtained by the finite element method are compared with experimental data to verify their accuracy, and the comparison demonstrates the effectiveness of the existing mathematical model in estimating the bio-heat model in spherical biological tissues.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
(2022)
Article
Materials Science, Multidisciplinary
Hamdy M. Youssef, A. A. El-Bary
Summary: This paper introduces a new mathematical model of a thermoelastic semiconducting solid sphere based on the Green-Naghdi theories to study photothermal interaction. Damage and rotation have significant effects on all studied functions, especially when the bounding surface of the sphere is thermally loaded.
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES
(2022)
Article
Physics, Multidisciplinary
Tareq Saeed, Ibrahim Abbas
Summary: This article utilizes the generalized model for thermoelastic waves to compute the temperature increment, displacement components, changes in volume fraction field, and stress components in a two-dimensional porous medium. Analytical solutions are obtained using Fourier-Laplace transforms with the eigenvalue approach. The method is validated through numerical results and graphical representation. The effects of thermal relaxation time on the physical quantities are depicted graphically.
WAVES IN RANDOM AND COMPLEX MEDIA
(2022)
Article
Chemistry, Multidisciplinary
Aatef Hobiny, Ibrahim Abbas, Hashim Alshehri, Sorin Vlase, Marin Marin
Summary: The main aim of this paper is to study the impact of delay times in a poro-elastic medium using the finite element approach and the three-phase lag thermo-elastic theory. The governing equations were obtained for a three-phase lag model with six delay times. Consideration was given to a one-dimensional application of a poro-elastic half-space. The numerical results were presented in graphical form and compared the differences between the three-phase delay (TPL) and the Green-Naghdi with and without energy dissipation (GNIII) models.
APPLIED SCIENCES-BASEL
(2022)
Article
Mathematics
Ibrahim Abbas, Aatef Hobiny, Sorin Vlase, Marin Marin
Summary: In this study, the nonlocal thermoelastic theory is used to investigate wave propagation in unbounded thermoelastic materials. The model, which includes relaxation time in thermal conduction formulation and equations of motion, is developed based on Lord and Shulman's generalized thermoelastic model using Eringen's nonlocal continuum theory. Analytical solutions for thermal stress, displacement, and temperature distribution are obtained using Laplace transform methods and integral transforms. The effects of nonlocal parameters and relaxation time on the wave propagation distributions in the material are visually demonstrated and explored.
Article
Mathematics
Aatef Hobiny, Ibrahim Abbas
Summary: The purpose of this study is to investigate the transient thermo-diffusion responses for a half-space with variable thermal conductivity and diffusivity using the finite element technique. The results of this study can help researchers better understand the interaction between thermo-mechanical fields in real materials.
Article
Engineering, Mechanical
Hamdy M. Youssef, Eman An Al-Lehaibi
Summary: In this study, an analytical mathematical model for calculating the vibration in a viscothermoelastic nano-resonator is proposed, and the effects of parameters on the resonator performance are studied.
JOURNAL OF STRAIN ANALYSIS FOR ENGINEERING DESIGN
(2023)
Article
Multidisciplinary Sciences
Ibrahim Abbas, Marin Marin, Aatef Hobiny, Sorin Vlase
Summary: This study investigates an interesting feature in the thermoelastic interaction in an orthotropic material containing cylindrical cavities. The Finite Element Method is used to analyze a generalized thermoelasticity theory with a relaxation time, considering a thermal conductivity dependent on the temperature of the medium. The results demonstrate how changing thermal conductivity affects all physical values.
Editorial Material
Multidisciplinary Sciences
Marin Marin, Sorin Vlase, Ibrahim A. Abbas
Article
Thermodynamics
Hamdy M. Youssef, Eman A. N. Al-Lehaibi
Summary: The research aims to establish a new theory of generalized thermoelasticity for thermomass gas flow with low velocity and linear resistance based on the general non-Fourier law of heat conduction. The resistance effect has been included in the general heat conduction equation, which is based on the total derivative of the thermomass gas velocity. Two numerical applications of homogeneous, isotropic, and thermoelastic one-dimensional rods were solved using the Laplace transform and numerical inversion methods. The latest findings illustrate the contrasts between the Lord-Shulman model and the present revolutionary thermoelasticity model in terms of thermal and mechanical wave distributions.
JOURNAL OF THERMAL ANALYSIS AND CALORIMETRY
(2023)
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, Interdisciplinary Applications
Aatef Hobiny, Ibrahim Abbas
Summary: This article investigates the impact of fractional time derivatives on thermo-mechanical interactions in living tissue during hyperthermia treatment using the eigenvalues approach. Understanding the heat transfer mechanism and its interactions with living tissues is crucial for effective thermal treatment. The study applies Laplace transforms and the eigenvalue approach to analyze the bio-thermo-elastic model, providing analytical solutions. Graphical representations are presented for temperature, displacement, and thermal stress. Additionally, a parametric study is conducted to identify the best method for selecting design parameters that enhance the precision of hyperthermia therapies.
FRACTAL AND FRACTIONAL
(2023)
Article
Engineering, Mechanical
Hamdy M. Youssef, Alaa A. El-Bary
Summary: The main objective of this work is to analyze the viscothermoelastic behavior of homogeneous and isotropic nanobeams under mechanical damage. A Green-Naghdi type-II model of thermoelasticity is developed under simply supported conditions, and the Laplace transforms are used for solving the governing differential equations. The numerical results demonstrate the significant influence of mechanical damage, mechanical relaxation times, and ramp-time heat on the studied functions and thermomechanical waves of a silicon nitride rectangular nanobeam under thermal loading and simple support.
JOURNAL OF STRAIN ANALYSIS FOR ENGINEERING DESIGN
(2023)
Article
Biology
A. Hobiny, I. Abbas
Summary: This study utilizes a generalized biothermoelastic model to analyze thermo-mechanical interactions within living tissues. Through graphical illustrations, the influence of key parameters on temperature distribution, displacement, and thermal strain is elucidated. A parametric analysis is conducted to guide optimal design factor selection for hyperthermia treatments.
JOURNAL OF THERMAL BIOLOGY
(2023)
Article
Mathematics
Ibrahim A. Abbas, Hamdy M. Youssef, Alaa A. El-Bary
Summary: In this study, a mathematical model was created to evaluate the thermal reaction in the human head exposed to electromagnetic waves. The research found that the impact of electromagnetic waves emitted by cellular devices is more detrimental to the bones of children's heads than they are to the bones of adults' heads.
