Hygrothermal wave characteristic of nanobeam-type inhomogeneous materials with porosity under magnetic field

Karami, Behrouz; Shahsavari, Davood; Karami, Moein; Li, Li

doi:10.1177/0954406218781680

Cited by 22 publications

(5 citation statements)

References 70 publications

(123 reference statements)

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“…Mathematically, inhomogeneity can be expressed in the form of trigonometric, linear, parabolic or exponential spatial functions. Karami et al (2019) investigated the hygrothermal wave characteristic of nanobeam-type inhomogeneous materials with porosity. Alam et al (2019) contemplated the dispersion and attenuation characteristics of Love-type waves in a fiber-reinforced layer laid on an inhomogeneous viscoelastic half-space.…”

Section: Nomenclaturementioning

confidence: 99%

Attenuation and dispersion phenomena of shear waves in anelastic and elastic porous strips

Alam

Jena

Badruddin

et al. 2021

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Purpose This paper aims to study the attenuation and dispersion phenomena of shear waves in anelastic and elastic porous strips. Numerical investigations are performed for the phase and damped velocity profiles of the wave. For numerical computation purposes, water-saturated limestone and kerosene oil saturated sandstone for the first and second porous strips, respectively. Some other peculiarities have been observed and discussed. Design/methodology/approach Dispersion and attenuation characteristic of the shear wave propagations have been studied in an inhomogeneous poro-anelastic strip of finite thickness, which is clamped between an inhomogeneous poroelastic strip of finite thickness and an elastic half-space. Both the strips are initially stressed and the half-space is self-weighted. Analytical methods are used to calculate the interior deformations of the model with the involvement of special functions. The determination of the frequency equation, which includes the Bessel’s and Whittaker functions, has been obtained using the prescribed boundary conditions. Findings Impacts of attenuation coefficient, dissipation factor, inhomogeneities, initial stresses, Biot’s gravity, porosity and thickness ratio parameters on the velocity profile of the wave have been demonstrated through the graphical visuals. These parameters are playing an important role and working as a catalyst in affecting the propagation behaviour of the wave. Originality/value Inclusion of the concept of doubly layered initially stressed inhomogeneous porous structure of elastic and anelastic medium bedded over a self-weighted half-space medium brings a novelty to the existing literature related to the study of shear wave. It may be helpful to geologists, seismologists and structural engineers in the development of theoretical and practical studies.

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Section: Nomenclaturementioning

confidence: 99%

Attenuation and dispersion phenomena of shear waves in anelastic and elastic porous strips

Alam

Jena

Badruddin

et al. 2021

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“…Moreover, the variation of the kinetic energy obtains δK=true∬R∫−h2h2ρuiδuidV=true∫0a∫0btrue∫−trueh2trueh2ρ∂ui∂tδ∂ui∂tdzdαdβ For more details, see Appendix B. The external work related to the applied forces can be defined as:δW=true∫0L[fhygrothermal]dα where the hygrothermal forces fhygrothermal are expressed as [82,83,84]:fhygrothermal=false(fthermal+fhygrofalse)δ∇2w Including both the temperature …”

Section: Theory and Formulationmentioning

confidence: 99%

Wave Propagation of Porous Nanoshells

et al. 2018

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This study aims at investigating the wave propagation of porous nanoshells. The Bi-Helmholtz non-local strain gradient theory is employed in conjunction with a higher-order shear deformation shell theory, in order to include the size-dependent effects. The nanoshells are made of a porous functionally graded material (P-FGM), whose properties vary continuously along the thickness direction. A variational approach is here applied to handle the governing equations of the problem, which are solved analytically to compute the wave frequencies and phase velocities as function of the wave numbers. The sensitivity of the wave response is analyzed for a varying porosity volume fraction, material properties, non-local parameters, strain gradient length scales, temperature, humidity, and wave numbers. Based on the results, it is verified that the size-dependence of the response is almost the same to the one of plates, beams and tubes.

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“…[61][62][63][64][65] Few researchers emphasized the influence of porosity on stress, electric field, bending, bifurcation buckling, linear, and nonlinear vibrations of nano-beams. [66][67][68][69][70][71][72] Recently, Rahmani et al 73 studied the vibration characteristics of porous nano-beams in rotational motion, and Rastehkenari et al 74 studied the nonlinear random vibrations of FGMs porous nano-beams. Zhao et al 75 studied the effects of porosity on the bending and free vibration analysis of axially graded flexoelectric nano-beams.…”

Section: Introductionmentioning

confidence: 99%

Stochastic thermo-elastic vibration characteristics of functionally graded porous nano-beams using first-order perturbation-based nonlocal finite element model

Chandel

Talha

2022

Proceedings of the Institution of Mechanical Engineers, Part C:

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This paper emphasized the size-dependent thermo-elastic vibration characteristics of uncertain functionally graded (FG) porous nano-beams by employing the first-order perturbation theory (FOPT) with the finite element method. An isoparametric quadratic beam element having three nodes is used for the finite element analysis of the nano-beams with variation in degree of uncertainty in material properties, geometric configuration, and thermal environment. The power-law model is employed to obtain the effective material properties of the considered beams. The governing equations are presented according to Eringen’s elasticity theory and Reddy’s beam theory using the minimum potential energy. The computed FOPT results for the vibration statistics are assessed with the help of Monte Carlo simulation (MCS) and a well agreement is found. Further, results are presented by analyzing the effects of degree of source uncertainty, size-dependent parameter, volume fraction indices, porosity distribution, porosity index, thermal environment, and aspect ratios on the fundamental frequency of the FGM nano-beams. The numerical results revealed the significant influence of thermal environment and porosity on the vibration statistics of the nano-beams and provided guidance for the precise and reliable design of nano-devices for the application in thermal environment.

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Hygrothermal wave characteristic of nanobeam-type inhomogeneous materials with porosity under magnetic field

Cited by 22 publications

References 70 publications

Attenuation and dispersion phenomena of shear waves in anelastic and elastic porous strips

Attenuation and dispersion phenomena of shear waves in anelastic and elastic porous strips

Wave Propagation of Porous Nanoshells

Stochastic thermo-elastic vibration characteristics of functionally graded porous nano-beams using first-order perturbation-based nonlocal finite element model

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