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    Wyświetlanie 1-11 z 11
    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:
    Reflection of waves in initially stressed transversely isotropic fibre-reinforced thermoelastic medium
    Autorzy:
    Gupta, R. R.
    Powiązania:
    https://bibliotekanauki.pl/articles/264883.pdf
    Data publikacji:
    2013
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    odbicie
    termoelastyczność
    odbicie fali
    reflection
    initially stressed
    fiber-reinforced
    transversely isotropic
    Opis:
    The present investigation deals with the reflection of plane periodic waves incident at the surface of a homogeneous initially stressed transversely isotropic fibrereinforced thermoelastic medium. The wave equations are solved by imposing proper conditions on displacements, stresses and temperature distribution. Numerically simulated results have been depicted graphically for different angles of incidence with respect to frequency. Some special cases of interest have also been deduced from the present investigation.
    Źródło:
    International Journal of Applied Mechanics and Engineering; 2013, 18, 3; 671-685
    1734-4492
    2353-9003
    Pojawia się w:
    International Journal of Applied Mechanics and Engineering
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Scattering of interface wave by bottom undulations in the presence of thin submerged vertical wall with a gap
    Autorzy:
    Dolai, P.
    Powiązania:
    https://bibliotekanauki.pl/articles/265016.pdf
    Data publikacji:
    2016
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    dyfrakcja fal
    fala powierzchniowa
    fala grawitacyjna
    submerged vertical wall
    perturbation analysis
    interface wave scattering
    sinusoidal bottom
    Galerkin approximations
    zero-order reflection coefficient
    first-order reflection coefficient
    Opis:
    In this paper, the problem of interface wave scattering by bottom undulations in the presence of a thin submerged vertical wall with a gap is investigated. The thin vertical wall with a gap is submerged in a lower fluid of finite depth with bottom undulations and the upper fluid is of infinite height separated by a common interface. In the method of solution, we use a simplified perturbation analysis and suitable applications of Green’s integral theorem in the two fluid regions produce first-order reflection and transmission coefficients in terms of integrals involving the shape function describing the bottom undulations and solution of the scattering problem involving a submerged vertical wall present in the lower fluid of uniform finite depth. For sinusoidal bottom undulations, the first-order transmission coefficient vanishes identically. The corresponding first-order reflection coefficient is computed numerically by solving the zero-order reflection coefficient and a suitable application of multi-term Galerkin approximations. The numerical results of the zero-order and first-order reflection coefficients are depicted graphically against the wave number in a number of figures. An oscillatory nature is observed of first-order reflection coefficient due to multiple interactions of the incident wave with bottom undulations, the edges of the submerged wall and the interface. The first-order reflection coefficient has a peak value for some particular value of the ratio of the incident wavelength and the bottom wavelength. The presence of the upper fluid has some significant effect on the reflection coefficients.
    Źródło:
    International Journal of Applied Mechanics and Engineering; 2016, 21, 2; 303-322
    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:
    Reflection at free surface in micropolar thermoelastic solid with two temperatures
    Autorzy:
    Sharma, K.
    Powiązania:
    https://bibliotekanauki.pl/articles/266249.pdf
    Data publikacji:
    2013
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    termoelastyczność
    fale sprężyste
    współczynnik odbicia dźwięku
    micropolar thermoelastic solid
    conductive and thermodynamic temperatures
    elastic waves
    reflection coefficient
    Opis:
    The present investigation is concerned with the effect of two temperatures on reflection coefficients in a micropolar thermoelastic solid half space. With two relaxation times, reflection of plane waves impinging obliquely at a plane interface of the micropolar generalized thermoelastic solid half space with two temperatures is investigated. The incident wave is assumed to be striking at the plane surface after propagating through the micropolar generalized thermoelastic solid with two temperatures. Amplitude ratios of the various reflected waves are obtained in closed form and it is found that these are functions of angle of incidence, frequency and are affected by the elastic properties of the media. The effect of two temperatures is shown on these amplitude ratios for a specific model.
    Źródło:
    International Journal of Applied Mechanics and Engineering; 2013, 18, 1; 217-234
    1734-4492
    2353-9003
    Pojawia się w:
    International Journal of Applied Mechanics and Engineering
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Oblique water wave diffraction by a step
    Autorzy:
    Dolai, P.
    Powiązania:
    https://bibliotekanauki.pl/articles/264885.pdf
    Data publikacji:
    2017
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    finite step
    Havelock expansion
    Galerkin approximation
    Gegenbauer polynomial
    reflection and transmission coefficients
    aproksymacja Galerkina
    wielomian Gegenbauera
    odbicie
    Opis:
    This paper is concerned with the problem of diffraction of an obliquely incident surface water wave train on an obstacle in the form of a finite step. Havelock expansions of water wave potentials are used in the mathematical analysis to obtain the physical parameters reflection and transmission coefficients in terms of integrals. Appropriate multi-term Galerkin approximations involving ultraspherical Gegenbauer polynomials are utilized to obtain a very accurate numerical estimate for reflection and transmission coefficients which are depicted graphically. From these figures various interesting results are discussed.
    Źródło:
    International Journal of Applied Mechanics and Engineering; 2017, 22, 1; 35-47
    1734-4492
    2353-9003
    Pojawia się w:
    International Journal of Applied Mechanics and Engineering
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Reflection-refraction coefficients and energy ratios in couple stress micropolar thermoviscous elastic solid
    Autorzy:
    Sahrawat, Ravinder Kumar
    Poonam, -
    Powiązania:
    https://bibliotekanauki.pl/articles/1839830.pdf
    Data publikacji:
    2021
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    prędkość fazowa
    współczynnik odbicia
    współczynnik załamania
    micropolar
    thermoviscous
    phase speed
    energy ratio
    reflection coefficient
    refraction coefficient
    couple stress
    Opis:
    The reflection and refraction phenomenon of propagation of waves in couple stress micropolar thermoviscous elastic solid media with independent viscoelastic and micropolar properties have been studied. The structure of the model has been taken such that the plane interface is divides the given media into two half spaces in perfect contact. Here, we find that there are five waves, one of them is propagating independently while others are set of two coupled waves travelling with different speeds. Energy ratios, reflection and refraction coefficients relative to numerous reflected and refracted waves have been investigated when set of two coupled longitudinal waves and set of two coupled transverse waves strike at the interface through the solid medium. The inequality of energy ratios, refraction coefficients and reflection coefficients are evaluated numerically and presented graphically under three theories of thermoelasticity, namely, Green-Lindsay theory (GL), Lord-Shulman theory (LS), Coupled theory (CT) versus angular frequency and angle of incidence.
    Źródło:
    International Journal of Applied Mechanics and Engineering; 2021, 26, 2; 47-69
    1734-4492
    2353-9003
    Pojawia się w:
    International Journal of Applied Mechanics and Engineering
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Scattering of oblique water waves by an infinite step
    Autorzy:
    Dolai, P.
    Dolai, D. P.
    Powiązania:
    https://bibliotekanauki.pl/articles/265749.pdf
    Data publikacji:
    2018
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    aproksymacja Galerkina
    wielomian Gegenbauera
    współczynnik transmisji
    infinite step
    Havelock expansion
    Galerkin approximation
    Gegenbauer polynomial
    reflection and transmission coefficients
    Opis:
    The present paper is concerned with the problem of scattering of obliquely incident surface water wave train passing over a step bottom between the regions of finite and infinite depth. Havelock expansions of water wave potentials are used in the mathematical analysis to obtain the physical parameters reflection and transmission coefficients in terms of integrals. Appropriate multi-term Galerkin approximations involving ultra spherical Gegenbauer polynomials are utilized to obtain very accurate numerical estimates for reflection and transmission coefficients. The numerical results are illustrated in tables.
    Źródło:
    International Journal of Applied Mechanics and Engineering; 2018, 23, 2; 327-338
    1734-4492
    2353-9003
    Pojawia się w:
    International Journal of Applied Mechanics and Engineering
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Response of corrugated interface on incident qSV-wave in monoclinic elastic half-spaces
    Autorzy:
    Singh, S. S.
    Lalvohbika, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/264383.pdf
    Data publikacji:
    2018
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    współczynnik odbicia
    współczynnik transmisji
    prędkość fazowa
    qSV and qP-waves
    reflection and transmission coefficients
    monoclinic medium
    corrugated interface
    phase velocity
    Opis:
    This paper is concerned with the problem of reflection and transmission of elastic waves due to an incident plane qSV-wave at a corrugated interface between two dissimilar monoclinic elastic half-spaces. Due to the corrugated nature of the interface, there exist regularly and irregularly reflected and transmitted elastic waves. Using Rayleigh’s method of approximation, the reflection and transmission coefficients of regular and irregular waves are obtained for the first order of approximation. We have found that these coefficients are functions of the angle of incidence, elastic constants, corrugation and the frequency parameter. These coefficients are obtained for a special type of interface, z =dcos py. We have computed these coefficients for a particular model and discussed the effects of corrugation and frequency parameter.
    Źródło:
    International Journal of Applied Mechanics and Engineering; 2018, 23, 3; 727-750
    1734-4492
    2353-9003
    Pojawia się w:
    International Journal of Applied Mechanics and Engineering
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Reflection and transmission at the boundary surface of modified couple stress thermoelastic media
    Autorzy:
    Kumar, R.
    Kumar, K.
    Powiązania:
    https://bibliotekanauki.pl/articles/264443.pdf
    Data publikacji:
    2016
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    termoelastyczność
    fala podłużna
    fala poprzeczna
    wskaźniki amplitudy
    modified couple stress thermoelastic solid
    longitudinal wave
    transverse wave
    reflection
    transmission
    amplitude ratios
    Opis:
    In this paper the reflection and transmission at a plane interface in modified couple stress generalized thermoelastic solid half spaces in the context of Loard-Shulman (LS) and Green-Lindsay (GL) theories in welded contact are investigated. Amplitude ratios of various reflected and transmitted waves are obtained due to incidence of a set of coupled longitudinal waves and coupled transverse waves. It is found that the amplitude ratios of various reflected and transmitted waves are functions of the angle of incidence, frequency and are affected by the couple stress properties of the media. Some special cases are deduced from the present formulation.
    Źródło:
    International Journal of Applied Mechanics and Engineering; 2016, 21, 1; 61-81
    1734-4492
    2353-9003
    Pojawia się w:
    International Journal of Applied Mechanics and Engineering
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Water wave scattering by an infinite step in the presence of an ice-cover
    Autorzy:
    Ray, S.
    De, S.
    Mandal, B. N.
    Powiązania:
    https://bibliotekanauki.pl/articles/265982.pdf
    Data publikacji:
    2019
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    fala wodna
    pokrywa lodowa
    aproksymacja Galerkina
    water wave scattering
    ice cover
    infinite step
    integral equation
    Galerkin approximation
    reflection and transmission coefficients
    Opis:
    The classical problem of water wave scattering by an infinite step in deep water with a free surface is extended here with an ice-cover modelled as a thin uniform elastic plate. The step exists between regions of finie and infinite depths and waves are incident either from the infinite or from the finite depth water region. Each problem is reduced to an integral equation involving the horizontal component of velocity across the cut above the step. The integral equation is solved numerically using the Galerkin approximation in terms of simple polynomial multiplied by an appropriate weight function whose form is dictated by the behaviour of the fluid velocity near the edge of the step. The reflection and transmission coefficients are obtained approximately and their numerical estimates are seen to satisfy the energy identity. These are also depicted graphically against thenon-dimensional frequency parameter for various ice-cover parameters in a number of figures. In the absencje of ice-cover, the results for the free surface are recovered.
    Źródło:
    International Journal of Applied Mechanics and Engineering; 2019, 24, 4; 157-168
    1734-4492
    2353-9003
    Pojawia się w:
    International Journal of Applied Mechanics and Engineering
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
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