• Title/Summary/Keyword: Domain-inversion

Search Result 176, Processing Time 0.022 seconds

Dynamical behavior of generalized thermoelastic diffusion with two relaxation times in frequency domain

  • Sharma, Nidhi;Kumar, Rajneesh;Ram, Paras
    • Structural Engineering and Mechanics
    • /
    • v.28 no.1
    • /
    • pp.19-38
    • /
    • 2008
  • A general solution to the field equations of homogeneous isotropic generalized thermoelastic diffusion with two relaxation times (Green and Lindsay theory) has been obtained using the Fourier transform. Assuming the disturbances to be harmonically time.dependent, the transformed solution is obtained in the frequency domain. The application of a time harmonic concentrated and distributed loads have been considered to show the utility of the solution obtained. The transformed components of displacement, stress, temperature distribution and chemical potential distribution are inverted numerically, using a numerical inversion technique. Effect of diffusion on the resulting expressions have been depicted graphically for Green and Lindsay (G-L) and coupled (C-T) theories of thermoelasticity.

Effect of thermal laser pulse in transversely isotropic Magneto-thermoelastic solid due to Time-Harmonic sources

  • Lata, Parveen;Kaur, Iqbal;Singh, Kulvinder
    • Coupled systems mechanics
    • /
    • v.9 no.4
    • /
    • pp.343-358
    • /
    • 2020
  • The present research deals with the time-harmonic deformation in transversely isotropic magneto thermoelastic solid with two temperature (2T), rotation due to inclined load and laser pulse. Generalized theory of thermoelasticity has been formulated for this mathematical model. The entire thermo-elastic medium is rotating with uniform angular velocity and subjected to thermally insulated and isothermal boundaries. The inclined load is supposed to be a linear combination of a normal load and a tangential load. The Fourier transform techniques have been used to find the solution to the problem. The displacement components, stress components, and conductive temperature distribution with the horizontal distance are computed in the transformed domain and further calculated in the physical domain using numerical inversion techniques. The effect of angle of inclination of normal and tangential load for Green Lindsay Model and time-harmonic source for Lord Shulman model is depicted graphically on the resulting quantities.

Effect of two temperature on isotropic modified couple stress thermoelastic medium with and without energy dissipation

  • Lata, Parveen;Kaur, Harpreet
    • Geomechanics and Engineering
    • /
    • v.21 no.5
    • /
    • pp.461-469
    • /
    • 2020
  • The objective of this paper is to study the deformation in a homogeneous isotropic modified couple stress thermoelastic medium with and without energy dissipation and with two temperatures due to thermal source and mechanical force. Laplace and Fourier transform techniques are applied to obtain the solutions of the governing equations. The displacement components, stress components, conductive temperature and couple stress are obtained in the transformed domain. Isothermal boundary and insulated boundary conditions are used to investigate the problem.The effect of two temperature and GN theory of type-II and type-III has been depicted graphically on the various components. Numerical inversion technique has been used to obtain the solutions in the physical domain. Some special cases of interest are also deduced.

Inverse Scattering Method Using the Moment Method in the Angular Spectral Domain (각스펙트럼 영역에서 모멘트 방법을 이용한 역산란 방법)

  • 이경수;김세윤;나정웅
    • The Proceeding of the Korean Institute of Electromagnetic Engineering and Science
    • /
    • v.3 no.2
    • /
    • pp.46-55
    • /
    • 1992
  • In this paper, A spectral inversion scheme in cylinderical coordinates, appling the moment method procedure is suggested to reconstruct permittivity profiles of inhomogeneous dielectric objects. Angular spectral domain reconstruction is shown to be less sensitive to the ill-posedness due to the noise in the scattered field then the configuration reconstruction

  • PDF

Influence of various sources in micropolar thermoelastic medium with voids

  • Kumar, Rajneesh;Ailawalia, Praveen
    • Structural Engineering and Mechanics
    • /
    • v.31 no.6
    • /
    • pp.717-735
    • /
    • 2009
  • The present problem is concerned with the study of deformation of micropolar thermoelastic medium with voids under the influence of various sources acting on the plane surface. The analytic expressions of displacement components, force stress, couple stress, change in volume fraction field and temperature distribution are obtained in the transformed domain for Lord-Shulman (L-S) theory of thermoelasticity after applying the integral transforms. A numerical inversion technique has been applied to obtain the solution in the physical domain. The numerical results are presented graphically. Some useful particular cases have also been deduced.

Axisymmetric deformation in transversely isotropic thermoelastic medium using new modified couple stress theory

  • Lata, Parveen;Kaur, Harpreet
    • Coupled systems mechanics
    • /
    • v.8 no.6
    • /
    • pp.501-522
    • /
    • 2019
  • The present study is concerned with the thermoelastic interactions in a two dimensional axisymmetric problem in transversely isotropic thermoelastic solid using new modified couple stress theory without energy dissipation and with two temperatures. The Laplace and Hankel transforms have been employed to find the general solution to the field equations. Concentrated normal force, normal force over the circular region, concentrated thermal source and thermal source over the circular region have been taken to illustrate the application of the approach. The components of displacements, stress, couple stress and conductive temperature distribution are obtained in the transformed domain. The resulting quantities are obtained in the physical domain by using numerical inversion technique. The effect of two temperature varying by taking different values for the two temperature on the components of normal stress, tangential stress, conductive temperature and couple stress are depicted graphically.

Blue Light Generation in a Quasi-Phase-Matched $LiTaO_3$ Optical Waveguide (준위상정합된 리튬탄탈레이트 광도파로에서의 청색 광파 생성)

  • 이상윤;신상영;진용성
    • Journal of the Korean Institute of Telematics and Electronics A
    • /
    • v.32A no.12
    • /
    • pp.173-183
    • /
    • 1995
  • Blue light of 0.15mW at 417.6nm is generated in a quasi-phase-matched LITaO$_{3}$ optical waveguide. A new heat-treatment technique using a metal-oxide mask is proposed to fabricate the periodic domain-inverted grating with less degraded optical properties. The mask promotes the proton indiffusion by inhibition of the proton outdiffusion during the heat treatment. It reduces the amount of the initial proton exchange for the domain inversion and prevents the formation of crystal defects on the surface accompanied by the proton outdiffusion. Consequently, it minimizes the degradation of nonlinear coefficient and scattering loss caused by the initial proton exchange.

  • PDF

Theoretical analysis of transient wave propagation in the band gap of phononic system

  • Lin, Yi-Hsien;Ma, Chien-Ching
    • Interaction and multiscale mechanics
    • /
    • v.6 no.1
    • /
    • pp.15-29
    • /
    • 2013
  • Phononic system composed of periodical elastic structures exhibit band gap phenomenon, and all elastic wave cannot propagate within the band gap. In this article, we consider one-dimensional binary materials which are periodically arranged as a 20-layered medium instead of infinite layered system for phononic system. The layered medium with finite dimension is subjected to a uniformly distributed sinusoidal loading at the upper surface, and the bottom surface is assumed to be traction free. The transient wave propagation in the 20-layered medium is analyzed by Laplace transform technique. The analytical solutions are presented in the transform domain and the numerical Laplace inversion (Durbin's formula) is performed to obtain the transient response in time domain. The numerical results show that when a sinusoidal loading with a specific frequency within band gap is applied, stress response will be significantly decayed if the receiver is away from the source. However, when a sinusoidal force with frequency is out of band gap, the attenuation of the stress response is not obvious as that in the band gap.

Effect of length scale parameters on transversely isotropic thermoelastic medium using new modified couple stress theory

  • Lata, Parveen;Kaur, Harpreet
    • Structural Engineering and Mechanics
    • /
    • v.76 no.1
    • /
    • pp.17-26
    • /
    • 2020
  • The objective of this paper is to study the deformation in transversely isotropic thermoelastic solid using new modified couple stress theory subjected to ramp-type thermal source and without energy dissipation. This theory contains three material length scale parameters which can determine the size effects. The couple stress constitutive relationships are introduced for transversely isotropic thermoelastic solid, in which the curvature (rotation gradient) tensor is asymmetric and the couple stress moment tensor is symmetric. Laplace and Fourier transform technique is applied to obtain the solutions of the governing equations. The displacement components, stress components, temperature change and couple stress are obtained in the transformed domain. A numerical inversion technique has been used to obtain the solutions in the physical domain. The effects of length scale parameters are depicted graphically on the resulted quantities. Numerical results show that the proposed model can capture the scale effects of microstructures.