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Tytuł:
Propagation of waves in the layer of a thermo-viscoelastic transversely isotropic medium
Autorzy:
Gupta, R. R.
Powiązania:
https://bibliotekanauki.pl/articles/265026.pdf
Data publikacji:
2016
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
lepkosprężystość
termosprężystość
prędkość fazowa
viscoelastic
thermoelasticity
phase velocity transversely isotropic
Opis:
The article is presented to enhance our knowledge about the propagation of Lamb waves in the layer of a viscoelastic transversely isotropic medium in the context of thermoelasticity with GN theory of type-II and III. Secular equations for symmetric and skew-symmetric modes of wave propagation in completely separate terms are derived. The amplitudes of displacements and temperature distribution were also obtained. Finally, the numerical solution was carried out for cobalt and the dispersion curves, amplitudes of displacements and temperature distribution for symmetric and skew-symmetric wave modes are presented to evince the effect of anisotropy. Some particular cases are also deduced.
Źródło:
International Journal of Applied Mechanics and Engineering; 2016, 21, 1; 21-35
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Plane strain deformation in a thermoelastic microelongated solid with internal heat source
Autorzy:
Ailawalia, P.
Sachdeva, S. K.
Pathania, D. S.
Powiązania:
https://bibliotekanauki.pl/articles/265041.pdf
Data publikacji:
2015
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
thermoelasticity
microelongation
heat source
normal mode analysis
termosprężystość
źródło ciepła
odkształcenie
Opis:
The purpose of this paper is to study the two dimensional deformation due to an internal heat source in a thermoelastic microelongated solid. A mechanical force is applied along an overlaying elastic layer of thickness h. The normal mode analysis has been applied to obtain the exact expressions for the displacement component, force stress, temperature distribution and microelongation. The effect of the internal heat source on the displacement component, force stress, temperature distribution and microelongation has been depicted graphically for Green-Lindsay (GL) theory of thermoelasticity.
Źródło:
International Journal of Applied Mechanics and Engineering; 2015, 20, 4; 717-731
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Eigen value approach to two dimensional problem in generalized magneto micropolar thermoelastic medium with rotation effect
Autorzy:
Singh, R.
Kumar, V.
Powiązania:
https://bibliotekanauki.pl/articles/265881.pdf
Data publikacji:
2016
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
termosprężystość
elastyczność
transformacje całkowe
magneto micropolar
thermoelasticity
eigenvalue
elasticity
integral transforms
Opis:
In this study an eigen value approach has been employed to examine the mechanical force applied along with a transverse magnetic field in a two dimensional generalized magneto micropolar thermoelastic infinite space. Results have been obtained by treating rotational velocity to be invariant. Integral transforms have been applied to solve the system of partial differential equations. Components of displacement, normal stress, tangential couple stress, temperature distribution, electric field and magnetic field have been obtained in the transformed domain. Finally numerical inversion technique has been used to invert the result in the physical domain. Graphical analysis has been done to described the study.
Źródło:
International Journal of Applied Mechanics and Engineering; 2016, 21, 1; 205-219
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Propagation of plane waves in a rotating transversely isotropic two temperature generalized thermoelastic solid half-space with voids
Autorzy:
Bijarnia, R.
Singh, B.
Powiązania:
https://bibliotekanauki.pl/articles/265710.pdf
Data publikacji:
2016
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
anizotropia
termosprężystość
odbicie
anisotropy
generalized thermoelasticity
voids
plane waves
reflection
reflection coefficient
Opis:
The paper is concerned with the propagation of plane waves in a transversely isotropic two temperature generalized thermoelastic solid half-space with voids and rotation. The governing equations are modified in the context of Lord and Shulman theory of generalized thermoelasticity and solved to show the existence of four plane waves in the x – z plane. Reflection of these plane waves from thermally insulated stress free surface is also studied to obtain a system of four non-homogeneous equations. For numerical computations of speed and reflection coefficients, a particular material is modelled as transversely isotropic generalized thermoelastic solid half-space. The speeds of plane waves are computed against the angle of propagation to observe the effects of two temperature and rotation. Reflection coefficients of various reflected waves are also computed against the angle of incidence to observe the effects of various parameters.
Źródło:
International Journal of Applied Mechanics and Engineering; 2016, 21, 2; 285-301
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Fundamental solution in micropolar viscothermoelastic solids with void
Autorzy:
Kumar, R.
Sharma, K. D.
Garg, S. K.
Powiązania:
https://bibliotekanauki.pl/articles/265845.pdf
Data publikacji:
2015
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
micropolar thermodiffusion
steady oscillations
visothemoelastic
micropolar with void
drgania
termosprężystość
funkcje elementarne
Opis:
In the present article, we construct the fundamental solution to a system of differential equations in micropolar viscothermoelastic solids with voids in case of steady oscillations in terms of elementary functions. Some basic properties of the fundamental solution are also established.
Źródło:
International Journal of Applied Mechanics and Engineering; 2015, 20, 1; 109-125
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Uniqueness, reciprocity theorems and plane wave propagation in different theories of thermoelasticy
Autorzy:
Kumar, R.
Gupta, V.
Powiązania:
https://bibliotekanauki.pl/articles/955280.pdf
Data publikacji:
2013
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
termoelastyczność
fala płaska
termosprężystość
isotropic
thermoelasticity
uniqueness theorem
reciprocity theorem
plane wave
Opis:
In this work, a compact form of different theories of thermoelasticity is considered. The governing equations for particle motion in a homogeneous isotropic thermoelastic medium are presented. Uniqueness and reciprocity theorems are proved. The plane wave propagation in a homogeneous isotropic thermoelastic medium is studied. For a three dimensional problem there exist four waves, namely a P-wave, two transverse waves (S1, S2) and a thermal wave (T). From the obtained results the different characteristics of waves such as the phase velocity and attenuation coefficient are computed numerically and presented graphically. Some special cases are also discussed.
Źródło:
International Journal of Applied Mechanics and Engineering; 2013, 18, 4; 1067-1086
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A general study of fundamental solutions in aniotropicthermoelastic media with mass diffusion and voids
Autorzy:
Chawla, Vijay
Kamboj, Deepmala
Powiązania:
https://bibliotekanauki.pl/articles/1839675.pdf
Data publikacji:
2020
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
termosprężystość
dyfuzja masy
źródło ciepła
general solution
fundamental solution
thermoelastic
voids
mass diffusion
Opis:
The present paper deals with the study of a fundamental solution in transversely isotropic thermoelastic media with mass diffusion and voids. For this purpose, a two-dimensional general solution in transversely isotropic thermoelastic media with mass diffusion and voids is derived first. On the basis of the obtained general solution, the fundamental solution for a steady point heat source on the surface of a semi-infinite transversely isotropic thermoelastic material with mass diffusion and voids is derived by nine newly introduced harmonic functions. The components of displacement, stress, temperature distribution, mass concentration and voids are expressed in terms of elementary functions and are convenient to use. From the present investigation, some special cases of interest are also deduced and compared with the previous results obtained, which prove the correctness of the present result.
Źródło:
International Journal of Applied Mechanics and Engineering; 2020, 25, 4; 22-41
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Wave propagation in a micropolar transversely isotropic generalized thermoelastic half-space
Autorzy:
Gupta, R. R.
Powiązania:
https://bibliotekanauki.pl/articles/955189.pdf
Data publikacji:
2014
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
termosprężystość
prędkość fazowa
współczynnik tłumienia drgań sprężystych
micropolar
transversely isotropic
generalized thermoelastic
amplitude ratios
Opis:
Rayleigh waves in a half-space exhibiting microplar transversely isotropic generalized thermoelastic properties based on the Lord-Shulman (L-S), Green and Lindsay (G-L) and Coupled thermoelasticty (C-T) theories are discussed. The phase velocity and attenuation coefficient in the previous three different theories have been obtained. A comparison is carried out of the phase velocity, attenuation coefficient and specific loss as calculated from the different theories of generalized thermoelasticity along with the comparison of anisotropy. The amplitudes of displacements, microrotation, stresses and temperature distribution were also obtained. The results obtained and the conclusions drawn are discussed numerically and illustrated graphically. Relevant results of previous investigations are deduced as special cases.
Źródło:
International Journal of Applied Mechanics and Engineering; 2014, 19, 2; 247-257
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Reflection of P-wave and SV-wave in a generalized two temperature thermoelastic half-space
Autorzy:
Santra, S.
Lahiri, A.
Das, N. C.
Powiązania:
https://bibliotekanauki.pl/articles/955250.pdf
Data publikacji:
2014
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
termosprężystość
izoterma
pole termiczne
P-wave
SV-wave
conductive temperature
dynamical temperature
second sound
Opis:
In this work the theory of two temperature generalized thermoelasticity has been used to investigate the problem of reflection of P-wave and SV-wave in a half space when the surface is i) thermally insulated or ii) isothermal. The ratios of the reflection coefficient to that of the incident coefficient for different cases are obtained for P-wave and SV-waves. The results for various cases for the conductive and dynamical temperature have been compared. The results arrived at in the absence of the thermal field (elastic case) have also been compared with those in the existing literature. Finally, the results for various cases have been analyzed and depicted in graphs.
Źródło:
International Journal of Applied Mechanics and Engineering; 2014, 19, 4; 735-754
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Reflection and transmission in non-local couple stress micropolar thermoelastic media
Autorzy:
Gupta, Deepa
Malik, Sangeeta
Kumar, Krishan
Sharma, Raj Kumar
Powiązania:
https://bibliotekanauki.pl/articles/2174196.pdf
Data publikacji:
2022
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
termosprężystość
liczba falowa
para
non-local
thermoelastic solid
amplitude ratios
reflection
transmission
couple stress
wave number
Opis:
We have studied the problem of homogenous, isotropic non-local couple stress micropolar thermoelastic solid in the absence of body forces, couple density and heat resources. The reflection and transmission of waves at the interface of two distinct media have been investigated. It is observed that amplitude ratios of various reflected and transmitted waves are functions of wave number of incident waves and are affected by the non-local parameter of thermoelastic solid.
Źródło:
International Journal of Applied Mechanics and Engineering; 2022, 27, 2; 53--76
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On discontinuties in thermoelastic plane waves without energy dissipation due to a thermo-mechanical shock
Autorzy:
Sarkar, N.
Lahiri, A.
Powiązania:
https://bibliotekanauki.pl/articles/265406.pdf
Data publikacji:
2013
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
termosprężystość
natężenie Greena-Naghdiego
generalized thermoelasticity
Green-Naghdi model
thermoelastic half-space
pulse function
eigenvalue approach
Opis:
The present paper deals with the thermoelastic plane waves due to a thermo-mechanical shock in the form of pulse at the boundary of a homogeneous, isotropic thermoelastic half-space. The field equations of the Green- Naugdhi theory without energy dissipation for an thermoelastic solid in the generalized thermoelasticity theory are written in the form of a vector-matrix differential equation using Laplace transform techniques and then solved by an eigenvalue approach. Exact expressions for the considered field variables are obtained and presented graphically for copper-like material. The characteristic features of the present theory are analyzed by comparing these solutions with their counterparts in other generalized thcrmoelasticity theories.
Źródło:
International Journal of Applied Mechanics and Engineering; 2013, 18, 2; 503-519
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Interaction due to mechanical source in generalized thermo microstretch elastic medium
Autorzy:
Singh, R.
Kumar, V.
Powiązania:
https://bibliotekanauki.pl/articles/955155.pdf
Data publikacji:
2014
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
transformacja Laplace'a
termosprężystość
pole elektromagnetyczne
generalized thermo-microstretch
eigenvalue
Laplace transform
Hankel transform
mechanical source
Opis:
The eigen value approach, following the Laplace and Hankel transformation has been employed to find a general solution of the field equations in a generalized thermo microstretch elastic medium for an axisymmetric problem. An infinite space with the mechanical source has been applied to illustrate the utility of the approach. The integral transformations have been inverted by using a numerical inversion technique to obtain normal displacement, normal force stress, couple stress and microstress in the physical domain. Numerical results are shown graphically.
Źródło:
International Journal of Applied Mechanics and Engineering; 2014, 19, 2; 347-363
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Application of fractional order theory of thermoelasticity in an elliptical disk and associated thermal stresses
Autorzy:
Thakare, S.
Panke, Y.
Hadke, K.
Powiązania:
https://bibliotekanauki.pl/articles/1839826.pdf
Data publikacji:
2020
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
naprężenia termiczne
pochodna Caputo
termosprężystość
elliptical disk
fractional order theory
Caputo derivative
integral transform
thermal stresses
thermal deflection
Opis:
In this article, a time fractional-order theory of thermoelasticity is applied to an isotropic homogeneous elliptical disk. The lower and upper surfaces of the disk are maintained at zero temperature, whereas the sectional heat supply is applied on the outer curved surface. Thermal deflection and associated thermal stresses are obtained in terms of Mathieu function of the first kind of order 2n. Numerical evaluation is carried out for the temperature distribution, Thermal deflection and thermal stresses and results of the resulting quantities are depicted graphically.
Źródło:
International Journal of Applied Mechanics and Engineering; 2020, 25, 3; 169-180
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A study on fractional order thermoelastic half space
Autorzy:
Roy, Sourov
Lahiri, Abhijit
Powiązania:
https://bibliotekanauki.pl/articles/1839784.pdf
Data publikacji:
2020
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
termosprężystość
źródło ciepła
transformata Laplace'a
thermoelasticity
instantaneous heat source
fractional order
thermoelastic half space
eigen value approach
Opis:
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.
Źródło:
International Journal of Applied Mechanics and Engineering; 2020, 25, 4; 191-202
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Interactions due to moving heat sources in generalized thermoelastic half-space using L-S model
Autorzy:
Sarkar, N.
Lahiri, A.
Powiązania:
https://bibliotekanauki.pl/articles/265642.pdf
Data publikacji:
2013
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
termosprężystość
źródło ciepła
procedura Laplace'a
generalized thermoelasticity
L-S model
elastic half-space
moving heat sources
eigenvalue approach
Opis:
A one-dimensional problem for a homogeneous, isotropic and thermoelastic half-space subjected to a moving plane of heat source on the boundary of the space, which is traction free, is considered in the context of Lord- Shulaman model (L-S model) of thermoelasticity. The Laplace transform and eigenvalue approach techniques are used to solve the resulting non-dimensional coupled equations. Numerical results for the temperature, thermal stress, and displacement distributions are represented graphically and discussed.
Źródło:
International Journal of Applied Mechanics and Engineering; 2013, 18, 3; 815-831
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł

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