Fiber-reinforced Medium Research Articles

The Influence of Fiber Volume and Corrugation on Wave Propagation Between Two Loosely Bonded PMFRC and Fiber-Reinforced Media

The Influence of Fiber Volume and Corrugation on Wave Propagation Between Two Loosely Bonded PMFRC and Fiber-Reinforced Media

Magnetic effects on surface waves in a rotating non-homogeneous half-space with grooved and impedance boundary characteristics

Investigation on the Mathematical modeling of waves in a rotating grooved and impedance boundary of a non-homogeneous fibre-reinforced solid half‐space under the influence of magnetic field and mechanical force is envisaged. We derived analytically, the dynamical equations for the rotating grooved and impedance boundary of the non-homogeneous fibre-reinforced solid under the influence of magnetic fields and mechanical force. Harmonic solution method of wave analysis is utilized. This is such that the component of displacements and stresses are developed and studied after employing dimensionless parameters in the equations of motion. Numerical computations are presented in graphical form by using Mathematica Software for a particular chosen material. We observed that the combined grooved, magnetic fields, impedance boundary etc. physical parameters, have remarkable effects on the material. A decrease in horizontal impedance yielded maximum amplitudes of displacements and stresses of the waves on the fibre-reinforced medium. The mechanical force and rotation of the medium induced increased behaviors to the amplitudes of displacement and stress components of the wave on the solid medium. Thus, this work should be of great importance in studies involving seismology and seismic Mechatronics solution for stress-wave generation in non-homogeneous materials.

Nonlocal fiber-reinforced double porous material structure under fractional-order heat and mass transfer

PurposeThe purpose of this study is to analyze the thermo-diffusion process in a semi-infinite nonlocal fiber-reinforced double porous thermoelastic diffusive material with voids (FRDPTDMWV) in light of the fractional-order Lord–Shulman thermo-elasto-diffusion (LSTED) model. By virtue of Eringen’s nonlocal elasticity theory, the governing equations for the considered material are developed. The free surface of the substrate is governed by the inclined mechanical load and thermal and chemical shocks.Design/methodology/approachWith the aid of the normal mode technique, the solutions of the nondimensional coupled governing equations have been obtained.FindingsThe expressions of field variables are obtained analytically. By using MATHEMATICA software, various graphical implementations are presented to describe the impacts of angle of inclination, fractional-order and nonlocality parameters. The present model is also validated on the basis of some comparative studies with some preestablished cases.Originality/valueAs observed from the literature survey, many different studies have been carried out by taking into account the deformation analysis in nonlocal double porous thermoelastic material structures and thermo-mechanical interaction in fiber-reinforced medium under fractional-order thermoelasticity theories. However, to the best of the authors’ knowledge, no research emphasizing the thermo-elasto-diffusive interactions in a nonlocal FRDPTDMWV has been carried out. Moreover, the effect of fractional-order LSTED theory on fiber-reinforced thermoelastic diffusive half-space with double porosity has not been illuminated till now, which significantly defines the novelty of the conducted research.

Behavior of Love-Wave Fields Due to the Reinforcement, Porosity Distributions, Non-Local Elasticity and Irregular Boundary Surfaces

Investigations are carried out to predict the characteristic behavior of Love-wave fields propagating in a non-local elastic model under the effects of irregular boundary surfaces, reinforcement, and porosity distributions. The model includes an anisotropic fiber-reinforced medium lying over an anisotropic porous half-space. Two different porosity distributions are investigated within the porous half-space, namely uniform porosity and asymmetrical porosity. Analytical solutions to the displacement fields for both the upper layer and the lower porous half-space are calculated. Solutions to the latter porosity distribution are obtained by using the asymptotic expansions of the Kummer hypergeometric functions of the second kind. Both the interface and the upper surface of the two-layered media are subjected to irregular boundary conditions, which leads to a complex form of the dispersion relation. We analyze the phase velocity and damped velocity behavior of the traveling Love-wave fields separately by using the real and imaginary components of the velocity dispersion relation. The calculated phase velocity curves obtained at the same parameters have been compared to demonstrate the accuracy of the established model. The effects of corrugation parameters, porosity distributions, non-local elasticity, and reinforcement on the phase velocity and the damped velocity curves are analyzed in detail using MATLAB software.

Plane wave propagation in a fiber-reinforced thermoelastic rotating medium with variable thermal conductivity under modified Green–Lindsay model

The present investigation is concerned with the reflection of thermoelastic plane waves in an anisotropic, rotating, fiber-reinforced medium having variable thermal conductivity. Modified Green–Lindsay theory (MGL) is used to formulate the problem. It is shown that there exist three kinds of coupled quasi-waves, namely, (quasi longitudinal displacement), (quasi thermal) and (quasi transverse displacement). Using appropriate boundary conditions, the reflection coefficients, phase velocities and energy ratios of these reflected waves have been calculated numerically and shown graphically to exhibit the effects of rotational and fiber-reinforcement parameters. The characteristics of MGL model are discussed by comparing the numerical results procured for the present model with those procured in the case of Green–Lindsay (GL) model. It has been shown that during reflection phenomenon, the sum of energy ratios is equal to unity at each angle of the incident.

Generalized thermoelastic in a fiber-reinforced medium with cylindrical cavity under G-N theory

The present paper is aimed at studying the wave propagation for a problem of cylindrical cavity. The material is assumed to be fiber-reinforced with increased stiffness, strength and load bearing capacity. Using generalized thermoelasticity theory, Green and Nagdhi, with and without energy dissipation. Laplace transform techniques are used to derive the solution in the Laplace transform domain. The inversion process is carried out using a numerical method based on Fourier series expansions. The results obtained are displayed by graphs to clear the phenomena physical meaning and compeer with generalized thermoelasticity theories.

The effect of magnetic field on the propagation of Rayleigh waves in fiber-reinforced viscoelastic media

The propagation of harmonic plane waves is considered in a linear viscoelastic solid reinforced by two families of fibers. These families are orthogonal, and a composite material is orthotropous to wave motion. The impact of a magnetic field and fiber parameters in a linear magneto-viscoelastic model considers the propagation of harmonic plane waves. . In this scattered medium, propagation of the Rayleigh wave is governed by a complex, irrational equation. The implicit radicals in this complex equation are rationalized by squaring. The resulting cubic equation is solved to define three complex velocities. Each complex velocity represents an inhomogeneous wave that decays while traveling across the medium. Thus, qualified, complex velocity is resolved to determine a Rayleigh wave’s phase velocity and attenuation coefficient. Consequently, there may be more than one Rayleigh wave in this fiber-reinforced viscoelastic medium. The corresponding particle motion at any given position in the medium is ccalculated using the Rayleigh wave’s complex velocity. The influence of fibers and magnetic fields on the velocity, attenuation, and polarization of Rayleigh waves is investigated using a numerical example.

Reflection of an inhomogeneous wave at the plane boundary of initially stressed fiber-reinforced viscoelastic medium

The reflection phenomenon of attenuated waves is considered at the stress-free boundary of an initially stressed fiber-reinforced medium. An arbitrary arrangement of fibers is taken into account. The slowness vectors of reflected waves are associated with the incident wave slowness vector by generalized Snell’s law. The associated slowness vector of a particular reflected wave is resolved to yield its properties, i.e., phase velocity, attenuation angle, propagation direction and attenuation coefficient. A 4 × 4 energy matrix represents the energy fluxes of reflected waves and interaction energy. The effect of inhomogeneity and incidence angle on reflected wave characteristics are analyzed by a numerical example.

Fiber-reinforced magneto-thermoelastic composite material with hyperbolic two-temperature, fractional-order three-phase lag and new modified couple stress theory

The paper aims to study the new modified couple stress theory in fiber-reinforced magneto-thermoelastic medium (FrMTM) with Hall current, rotation and with hyperbolic two-temperature (H2T) due to ramp-type heat. The Fourier’s law of heat conduction with fractional-order (Fo) three-phase lag (TPL) derivative is used to form the model of the problem. Laplace and Fourier’s transforms are used to solve this mathematical model. The displacement components, temperature change, couple stress and axial stress components are calculated in the transformed domain and have been converted in the physical domain with the numerical inversion technique. These physical quantities are drawn graphically using the MATLAB software to show the effects of the FoTPL theory for different values of fractional-order parameter α and different theories of thermoelasticity, namely, the FoTPL theory, the FoGN-III theory, the FoGN-II theory and the FoTPLGN-II theory.

Reflection and transmission of three-dimensional plane wave between distinct fiber-reinforced medium under initial stress

The present concept is related to reflection and refraction phenomena of a three-dimensional plane quasi-P wave incident at the interface between distinct fiber-reinforced medium under the influence of initial stress. The expressions of all the phase velocities of reflected and transmitted quasi-P (qP), and quasi shear waves (qS1 and qS2) are derived analytically. The amplitude ratios of reflected and transmitted quasi waves are also obtained in compact form. The expressions are computed numerically to show the effect of initial stress and the reinforcement parameter on the reflection and refraction coefficients. Also, the variations of reflection and transmission coefficients and the energy coefficients with the incidence angle have been shown by plotting two-dimensional graphs.

A Mode-I crack for a rotational fibre-reinforced thermoelastic medium with thermal relaxation time

A general model of the equations with coupled theory (CD) and Lord-Shulman (L-S) theory with one relaxation time is applied to study the influence of reinforcement on the total deformation for an infinite space weakened by a finite linear opening Mode-I Crack is solving. We study the influence of reinforcement on the total deformation of rotating thermoelastic half-space and the interaction with each other. The material is homogeneous isotropic elastic half space. The crack is subjected to prescribed temperature and stress distribution. The normal mode analysis is used to obtain the exact expressions for the displacement components, force stresses and temperature. The variations of the considered variables with the horizontal distance are illustrated graphically. Comparisons are made with the results in two theories in the presence and absence of rotation. A comparison also is made between the two theories for different depths.

Effect of gravity on 2-D electromagneto-thermoelastic problem under fractional-order theory of thermoelasticity

In this paper, the fractional generalized thermoelastic theory is introduced to obtain the dynamic response of two-dimensional electromagnetic-thermoelastic fiber-reinforced media under thermal shock. The general expressions of temperature, displacement and stress are obtained by means of normal modal analysis. Considering the influence of magnetic field and gravity field, the effects of different fractional parameters on related physical quantities are analyzed and compared. The results show that these parameters have a significant effect on the distribution of the variables considered.

Effect of magnetic field and gravity on 2D fiber-reinforced medium under fractional order theory of thermoelasticity

In this work, the fractional order theory of thermoelasticity is introduced to study a two-dimensional fiber-reinforced problem in a half-space. The governing equations are formulated by considering the effect of the magnetic field, gravity, and moving heat source on a fiber-reinforced linearly thermoelastic isotropic medium. These equations are then transformed into non-dimensional forms. The normal mode analysis is used to solve this problem to obtain the exact expressions of the non-dimensional temperature, displacement components, and stress. The distributions of these considered variables are obtained and illustrated graphically. Comparisons are taken with the results in the presence and absence of the magnetic field, gravity and heat source under the fractional order theory of thermoelasticity. The results show that the existence of the magnetic field, gravity, and heat source have significant influence on the distributions of the considered variables.

Fractional-Order Thermoelastic Wave Assessment in a Two-Dimensional Fiber-Reinforced Anisotropic Material

The present work is aimed at studying the effect of fractional order and thermal relaxation time on an unbounded fiber-reinforced medium. In the context of generalized thermoelasticity theory, the fractional time derivative and the thermal relaxation times are employed to study the thermophysical quantities. The techniques of Fourier and Laplace transformations are used to present the problem exact solutions in the transformed domain by the eigenvalue approach. The inversions of the Fourier-Laplace transforms hold analytical and numerically. The numerical outcomes for the fiber-reinforced material are presented and graphically depicted. A comparison of the results for different theories under the fractional time derivative is presented. The properties of the fiber-reinforced material with the fractional derivative act to reduce the magnitudes of the variables considered, which can be significant in some practical applications and can be easily considered and accurately evaluated.

Vibrational analysis of Love waves in a viscoelastic composite multilayered structure

A unified procedure is presented to investigate the dispersion and damping behavior of Love waves in a double-layered structure. The double-layered structure is comprised of a viscoelastic fiber-reinforced medium (Medium I) embedded between a viscoelastic sandy layer (Medium II) and a viscoelastic porous semi-infinite medium (Medium III). The displacement vectors for the respective medium have been obtained using analytical techniques. Using the separation of variables method and admissible boundary conditions at the free surface and the interfaces, the complex frequency equation is obtained in closed form. The substantial impact of all material parameters involved in the considered model on the phase velocity as well as damped velocity has been observed numerically and shown by graphical illustrations. The outcomes from this analysis may serve as a dynamic tool in various fields including geophysics, geotechnical, and earthquake engineering.

Analysis of interfacial imperfections and electro-mechanical properties on elastic waves in porous piezo-composite bars

The main intention of this research work is to carry out an investigation regarding the mechanical and electrical characteristics of shear wave propagation in a porous piezoelectric material (PPEM) bounded by fiber-reinforced medium (FRM) and elastic half-space. The interface between two different media has been considered mechanically imperfect. The mechanical displacement and electric potential are obtained for respective medium by solving coupled electromechanical field equations. After that, the required expression of dispersion has been established using the relevant boundary conditions. For the purpose of validation, the obtained result is reduced to fairly match with the classical Love wave equation in an isotropic elastic layer and substrate (i.e., in the absence of upper surface, piezoelectricity, porosity, imperfection parameter) For the propose of numerical calculation, four sets of porous piezoelectric materials are considered namely, PZT-1, PZT-5H, PZT-7 and BaTiO3. Notable effects of various parameters involved in proposed structure such as piezoelectric, dielectric, reinforcement and interfacial imperfect on phase velocity with respect to frequency have been observed. In this regard, the numerical computation and graphical demonstration have been carried out. Moreover, first three different modes of SH-wave have also been reported.

Love Waves in a Pre-Stressed Fiber Reinforced Medium Rest upon a Monoclinic Half Space

Love waves in a pre-stressed fiber-reinforced medium lying above a monoclinic half-space have been investigated. Upper surface of fiber reinforced layer remains stress free and interface of half space and layer satisfies continuity conditions .The dispersion equation for Love waves propagation has been derived. Effect of anisotropy parameter of half space and initial stresses of reinforced layer on Love waves propagation have been observed from dispersion curves. Some particular cases have also been developed by using the dispersion equation. Further, the range of the existence of Love waves is calculated. The cut-off periods for three nodes of Love waves with variation of anisotropy parameter and compressive stress are presented in tabular form.

Propagation and reflection of magneto-elastic plane waves at the free surface of a rotating micropolar fibre-reinforced medium with voids

Propagation and reflection of magneto-elastic plane waves at the free surface of a rotating micropolar fibre-reinforced medium with voids

Love Wave Propagation in a Fiber-reinforced Layer with Corrugated Boundaries Overlying Heterogeneous Half-space

Love-type wave generation in a fiber-reinforced medium placed over an inhomogeneous orthotropic half-space is analysed. The upper and lower boundary surfaces of the fiber reinforced medium are periodically corrugated. Inhomogeneity of half-space is caused by variable density and variable shear modules. Displacement components for layer and half-space are derived by applying separable variable technique. Dispersion relation for Love wave is obtained in closed form. Numerical calculations for the achieved dispersion equation are performed. In the numerical examples, the main attention is focused on the effect of corrugation investigation, reinforced parameters and inhomogeneity on the relations between wave number and phase velocity.

Magneto-thermoelastic interaction in a reinforced medium with cylindrical cavity in the context of Caputo–Fabrizio heat transport law

This present work is devoted to the investigation of the transient phenomena for a fiber-reinforced medium with a cylindrical cavity in the context of the three-phase-lag model of generalized thermoelasticity with a new form of derivative of the Caputo–Fabrizio (CF) type in the heat transport equation, where the medium is under the action of an induced magnetic field. The Laplace transform is incorporated as a tool for the solution of the problem when the boundary of the cavity is exposed to harmonically varying heat with a constant angular frequency of thermal vibration. The numerical inversion of the Laplace transforms is computed using the Zakian method. Excellent predictive capability is demonstrated due to the presence of reinforcement, the angular frequencies on thermal vibrations, CF fractional parameter and magnetic field.