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  1. 15 International Journal of Applied Mechanics and Engineering
  2. 15 Journal of Theoretical and Applied Mechanics
  3. 10 Mechanics and Mechanical Engineering
  4. 7 Archives of Mechanics
  5. 6 Computational Methods in Science and Technology
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  1. 9 Kumar R.
  2. 5 Ailawalia P.
  3. 5 Zenkour A. M.
  4. 4 Abo-Dahab S. M.
  5. 4 Abouelregal A. E.
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  1. 1 2023
  2. 3 2022
  3. 1 2021
  4. 7 2020
  5. 11 2019
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1
Content available remote Generalized thermoelastic heat conduction model involving three different fractional operators
Saidi Anouar, Yahya Ahmed M. H, Abouelregal Ahmed E., Dargail Husam E., Ahmed Ibrahim-Elkhalil, Ali Elsiddeg, Mohammed F. A.
Advances in Materials Science
|
2023
|
Vol. 23, nr 2(76)
25--44
EN
The purpose of this paper is to introduce a new time-fractional heat conduction model with three-phase-lags and three distinct fractional-order derivatives. We investigate the introduced model in the situation of an isotropic and homogeneous solid sphere. The exterior of the sphere is exposed to a thermal shock and a decaying heat generation rate. We recuperate some earlier thermoelasticity models as particular cases from the proposed model. Moreover, the effects of different fractional thermoelastic models and the effect of instant time on the physical variables of the medium are studied. We obtain the numerical solutions for the various physical fields using a numerical Laplace inversion technique. We represent the obtained results graphically and discuss them. Physical views presented in this article may be useful for the design of new materials, bio-heat transfer mechanisms between tissues and other scientific domains.
2
Content available Multiobjective optimiaztion of microstructure parameters in a thermoelastic porous material by means of differential evolution and elements of game theory
Długosz Adam, Schlieter Tomasz
Computer Methods in Materials Science
|
2022
|
Vol. 22, No. 3
117--124
EN
The paper is devoted to the optimization of the microstructure parameters of a porous medium under thermo-mechanical loading. Four different criteria related to the properties of the porous material have been proposed and numerically implemented. To solve a multiobjective problem, a novel method based on the coupling of differential evolution and elements of game theory is used. The proposed algorithm features an appropriate balance between exploration and exploitation of objective space, which is necessary for the successful optimization of these types of tasks with the use of numerical simulations. The model of the thermo-elastic porous material is composed of two-scale direct analysis based on a numerical homogenization. Direct thermoelastic analysis with representative volume element (RVE) and finite element method (FEM) is performed. Numerical example of the optimization illustrating the usefulness of the proposed method is included.
3
Content available remote The Theory of Thermoelasticity with Double Porosity and Microtemperatures
Kansal Tarun
Computational Methods in Science and Technology
|
2022
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Vol. 28, No. 3
87--107
EN
The aim of the paper is to establish the basic governing equations for anisotropic thermoelastic medium with double porosity and microtemperatures and to construct the fundamental solution of a system of equations in cases of steady, pseudo-, quasi-static oscillations and equilibrium.
4
Content available remote Fundamental Solutions in the Theory of Micromorphic Thermoelastic Diffusion Materials with Microtemperatures and Microconcentrations
Kansal Tarun
Computational Methods in Science and Technology
|
2022
|
Vol. 28, No. 1
11--25
EN
The main purpose of this paper is to construct the fundamental solutions of a system of equations of isotropic micromorphic thermoelastic diffusion materials with microtemperatures and microconcentrations in case of steady oscillations in terms of elementary functions. In a particular case, the fundamental solutions of the system of equations of equilibrium theory of isotropic micromorphic thermoelastic diffusion materials with microtemperatures and microconcentrations are also established.
5
Content available The comparison of results obtained from the continuous and discontinuous Galerkin Method for the thermoelasticity problem
Węgrzyn-Skrzypczak Ewa
Journal of Applied Mathematics and Computational Mechanics
|
2021
|
Vol. 20, nr 3
77--88
EN
The presented paper is focused on the comparison of the Continuous and Discontinuous Galerkin Methods in terms of thermoelasticity for a cubic element. For this purpose, a numerical model of the phenomenon was built using both methods together with the Finite Element Method (FEM). The comparison of the results of numerical simulation obtained with the use of an original computer program based on the derived final set of FEM equations for both methods is presented.
6
Modelowanie stanów termiczno-mechanicznych z zastosowaniem MES – zagadnienia wybrane. Część I
Jachimowicz Jerzy, Osiński Jerzy, Szot Andrzej
Przegląd Mechaniczny
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2020
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nr 4
38--42
PL
Stałe lub zmienne w czasie (stacjonarne lub niestacjonarne) obciążenia cieplne wywołują w konstrukcji ustalone lub nieustalone pola temperatury. Te z kolei są źródłem naprężeń, które mają szczególne znaczenie w przypadkach urządzeń pracujących w warunkach dużych zakresów temperatur i ich częstej zmienności w czasie. W niniejszym opracowaniu przedstawiono przykłady zastosowania programów MSC.Patran (budowa modeli i analiza wyników obliczeń) i MSC.Nastran (obliczenia) w zakresie termosprężystości niesprzężonej, czyli z pominięciem ciepła wytwarzanego na skutek odkształcania materiału.
EN
Fixed or time-varying (fixed or non-fixed) heat loads cause in the structure fixed or transient temperature fields. These, in turn, are a source of stresses which are particularly important for equipment operating in large temperature ranges and their frequent variability over time. The paper presents examples of application of MSC.Patran (construction of models and analysis of calculation results) and MSC.Nastran (calculations) in the range of uncoupled thermal resilience, i.e. excluding the heat produced by material deformation.
7
Modelowanie stanów termiczno-mechanicznych z zastosowaniem MES – zagadnienia wybrane. Cz. 2
Jachimowicz Jerzy, Osiński Jerzy, Szot Andrzej
Przegląd Mechaniczny
|
2020
|
nr 5
28--36
PL
Stałe lub zmienne w czasie (stacjonarne lub niestacjonarne) obciążenia cieplne wywołują w konstrukcji ustalone lub nieustalone pola temperatury. Te z kolei są źródłem naprężeń, które mają szczególne znaczenie w przypadkach urządzeń pracujących w warunkach dużych zakresów temperatur i ich częstej zmienności w czasie. W niniejszym opracowaniu przedstawiono przykłady zastosowania programów MSC.Patran (budowa modeli i analiza wyników obliczeń) i MSC.Nastran (obliczenia) w zakresie termosprężystości niesprzężonej, czyli z pominięciem ciepła wytwarzanego na skutek odkształcania materiału. W tej części artykułu zamieszczono przykładowe zadania modelowania naprężeń termomechanicznych.
EN
Fixed or time-varying (fixed or non-fixed) heat loads cause in the structure fixed or transient temperature fields. These, in turn, are a source of stresses which are particularly important for equipment operating in large temperature ranges and their frequent variability over time. The paper presents examples of application of MSC.Patran (construction of models and analysis of calculation results) and MSC.Nastran (calculations) in the range of uncoupled thermal resilience, i.e. excluding the heat produced by material deformation. This part of the paper provides examples of tasks for modelling thermomechanical stresses.
8
Content available Evolutionary identification of microstructure parameters in the thermoelastic porous material
Długosz Adam, Schlieter Tomasz
Journal of Theoretical and Applied Mechanics
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2020
|
Vol. 58 nr 2
373--384
EN
The work is devoted to the identification of microstructure parameters of a porous body under thermal and mechanical loads. The goal of the identification is to determine the parameters of the microstructure on the basis of measurements of displacements and temperatures at the macro level. A two-scale 3D coupled thermomechanical model of porous aluminum is considered. The representative volume element (RVE) concept modeled with periodical boundary conditions is assumed. Boundary-value problems for RVEs (micro-scale) are solved by means of the finite element method (FEM). An evolutionary algorithm (EA) is used for the identification as the optimization technique.
9
Content available Analysis of the three-dimensional thermoelasticity problem with the use of the continuous Galerkin method
Węgrzyn-Skrzypczak Ewa
Journal of Applied Mathematics and Computational Mechanics
|
2020
|
Vol. 19, nr 3
111--121
EN
The paper focuses on the mathematical and numerical modelling of the thermoelasticity problem in the three-dimensional region. The governing equations of the mathematical model are a set of equilibrium equations. The numerical model uses continuous Galerkin formulation together with the Finite Element Method (FEM). Both models are discussed in detail. The final set of FEM equations is derived. The example of numerical calculations obtained with the use of an original computer program is presented. The main goal of presented paper is to develop the alternative model to the one based on the Discontinuous Galerkin Method (DGM).
10
Content available A study on fractional order thermoelastic half space
Roy Sourov, Lahiri Abhijit
International Journal of Applied Mechanics and Engineering
|
2020
|
Vol. 25, no. 4
191--202
EN
In this paper, we consider a one dimensional problem on a fractional order generalized thermoelasticity in half space subjected to an instantaneous heat source. The Laplace transform as well as eigen value approach techniques are applied to solve the governing equations of motion and heat conduction. Closed form solutions for displacement, temperature and stress are obtained and presented graphically.
11
Content available Two-temperature theory for a heated semi-infinite solid by a pulsed laser radiation
Zenkour Ashraf M., Abouelregal Ahmed E.
Archives of Thermodynamics
|
2020
|
Vol. 41, no 2
85--101
EN
In this paper, the two-temperature thermoelasticity model is proposed to a specific problem of a thermoelastic semi-infinite solid. The bounding plane surface of the semi-infinite solid is considered to be under a non-Gaussian laser pulse. Generalized thermoelasticity analysis with dual-phase-lags is taken into account to solve the present problem. Laplace transform and its inversion techniques are applied and an analytical solution as well as its numerical outputs of the field variables are obtained. The coupled theory and other generalized theory with one relaxation time may be derived as special cases. Comparison examples have been made to show the effect of dual-phase-lags, temperature discrepancy, laser-pulse and laser intensity parameters on all felids. An additional comparison is also made with the theory of thermoelasticity at a single temperature.
12
Content available Generalized thermal microstretch elastic solid with harmonic wave for mode-I crack problem
Lotfy Khaled, El-Bary Alaa Abd, Allan Mohamed, Ahmed Marwa H.
Archives of Thermodynamics
|
2020
|
Vol. 41, no 2
147--168
EN
A general model of the equations of generalized thermo-microstretch for an infinite space weakened by a finite linear opening mode-I crack is solved. Considered material is the homogeneous isotropic elastic half space. The crack is subjected to a prescribed temperature and stress distribution. The formulation is applied to generalized thermoelasticity theories, using mathematical analysis with the purview of the Lord-Şhulman (involving one relaxation time) and Green-Lindsay (includes two relaxation times) theories with respect to the classical dynamical coupled theory (CD). The harmonic wave method has been used to obtain the exact expression for normal displacement, normal stress force, coupled stresses, microstress and temperature distribution. Variations of the considered fields with the horizontal distance are explained graphically. A comparison is also made between the three theories and for different depths for the case of copper crystal.
13
Content available remote Response of thermoelastic microbeam with double porosity structure due to pulsed laser heating
Kumar Rajneesh, Vohra Richa
Mechanics and Mechanical Engineering
|
2019
|
Vol. 23, nr 1
76--85
EN
The present investigation is concerned with vibration phenomenon of a homogeneous, isotropic thermoelastic microbeam with double porosity (TDP) structure induced by pulsed laser heating, in the context of Lord-Shulman theory of thermoelasticity with one relaxation time. Laplace transform technique has been applied to obtain the expressions for lateral deflection, axial stress, axial displacement, volume fraction field, and temperature distribution. The resulting quantities are recovered in the physical domain by a numerical inversion technique. Variations of axial displacement, axial stress, lateral deflection, volume fraction field, and temperature distribution with axial distance are depicted graphically to show the effect of porosity and laser intensity parameter. Some particular cases are also deduced.
14
Content available remote A thermoelastic microelongated layer immersed in an infinite fluid and subjected to laser pulse heating
Ailawalia Praveen, Singla Amit
Mechanics and Mechanical Engineering
|
2019
|
Vol. 23, nr 1
233--240
EN
The present investigation deals with the twodimensional deformation because of laser pulse heating in a thermoelastic microelongated layer with a thickness of 2d, which is immersed in an infinite nonviscous fluid. Normal mode analysis technique is applied to obtain the analytic expressions for displacement component, force stress, temperature distribution, and microelongation. The effect of elongation and laser pulse rise time on the derived components have been depicted graphically.
15
Content available Heating a thermoelastic half space with a surface absorption pulsed laser using fractional order theory of thermoelasticity
Tayel Ismail M., Hassan Amin F.
Journal of Theoretical and Applied Mechanics
|
2019
|
Vol. 57 nr 2
489--500
EN
In this work, the problem of illuminating a thermoelastic half space by a laser beam is solved by utilizing the fractional order theory of thermoelasticity. The assumptions that the illuminated surface is exposed to a cooling effect and free from traction are considered. The problem is solved using Laplace transform techniques. The inverse Laplace transform has been calculated in numerical fashion. The obtained results are presented graphically.
16
Content available Forced vibrations of a thermoelastic double porous microbeam subjected to a moving load
Kumar Rajneesh, Vohra Richa
Journal of Theoretical and Applied Mechanics
|
2019
|
Vol. 57 nr 1
155--166
EN
The present paper deals with forced vibrations of a homogeneous, isotropic thermoelastic double porous microbeam subjected to moving load, in context of Lord-Shulman theory of thermoelasticity with one relaxation time. The Laplace transform has been applied to obtain expressions for the axial displacement, lateral deflection, volume fraction field and temperature distribution. A numerical inversion technique has been used to recover the resulting quantities in the physical domain. Effects of velocity and time parameters are shown graphically by plotting axial displacement, lateral deflection, volume fraction field and temperature distribution against distance. Some particular cases are also deduced.
17
Content available A generalized thermoelastic medium subjected to pulsed laser heating via a two-temperature model
Abouelregal Ahmed E., Zenkour Ashraf M.
Journal of Theoretical and Applied Mechanics
|
2019
|
Vol. 57 nr 3
631--639
EN
This article investigates stress and induced temperature in an isotropic, homogeneous, thermoelastic half-space using a two-temperature generalized thermoelasticity model. The bounding plane surface of the present half-space continuum is subjected to a non-Gaussian laser pulse. Laplace’s transform space is considered to deduce a closed-form solution to the problem. In addition, the inversions of Laplace’s transformations have been carried numerically to obtain field quantities in the transient state. The effects of parameters of two-temperature, laser-pulse and laser intensity are investigated. A concluding remark for the graphical forms of the derived expressions is presented.
18
Content available Discontinuous Galerkin method for the three-dimensional problem of thermoelasticity
Węgrzyn-Skrzypczak Ewa
Journal of Applied Mathematics and Computational Mechanics
|
2019
|
Vol. 18, nr 4
115--126
EN
The paper is focused on the mathematical and numerical approaches for the thermoelasticity problem in the three-dimensional domain. The mathematical description of considered problem is based on the second order differential equations of elasticity with the term describing thermal deformations. The numerical model uses the discontinuous Galerkin method which is widely used to solve the problems of hydrodynamics. The presented paper shows the possibility of using the mentioned method to solve the problem of thermomechanics.
19
Content available remote Deformation of modified couple stress thermoelastic diffusion in a thick circular plate due to heat sources
Kumar R., Devi S.
Computational Methods in Science and Technology
|
2019
|
Vol. 25, No. 4
167--176
EN
The aim of this study is to present a mathematical model for predicting the results for displacements, stress components, temperature change and chemical potential with considering independently a particular type of heat source. The general solution for the two-dimensional problem of a thick circular plate with heat sources in modified couple stress thermoelastic diffusion has been obtained in the context of one and two relaxation times. Laplace and Hankel transforms technique is applied to obtain the solutions of the governing equations. Resulting quantities are obtained in the transformed domain. The numerical inversion technique has been used to obtain the solutions in the physical domain. Effects of time on the resulting quantities are shown graphically.
20
Content available A two dimensional problem on laser pulse heating in thermoelastic microelongated solid
Ailawalia Praveen, Sachdeva Sunil Kumar, Pathania Devinder Singh
Archives of Thermodynamics
|
2019
|
Vol. 40, no 2
69--85
EN
In the present discussion, the plane strain deformation due to laser pulse heating in a thermoelastic microelongated solid has been discussed. The analytic expressions for displacement component, force stress, temperature distribution and micro-elongation have been derived. The effect of pulse rise time and micro-elongation on the derived components have been depicted graphically.
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