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CONTENTS
Volume 10, Number 2, April 2021
 


Abstract
The present research deals with the investigation of the effect of hall current in an orthotropic magnetothermoelastic medium with two temperature in the context of multi-phase-lag heat transfer due to thermomechanical sources. The bounding surface is subjected to linearly distributed and concentrated loads(mechanical and thermal source).Laplace and Fourier transform techniques are used to solve the problem. The expressions for displacement components, stress components and conductive temperature are derived in transformed domain and further in physical domain with the help of numerical inversion techniques. The effect of rotation and hall parameter has shown with the help of graphs.

Key Words
orthotropic; hall current; rotation; multi-dual-phase-lag; two temperature; laplace transform; fourier transform; concentrated and linearly distributed loads

Address
Parveen Lata and Himanshi: Department of Basic and Applied Sciences, Punjabi University Patiala, Punjab, India

Abstract
The paper deals with the study of the dispersion of quasi-Lamb waves in a hydro-elastic system consisting of an elastic plate, barotropic compressible inviscid fluid, and rigid wall. The motion of the plate is described using the exact equations of elastodynamics, however, the flow of the fluid using the linearized equations and relations of the Navier-Stokes equations. The corresponding dispersion equation is obtained and this equation is solved numerically, as a result of which the corresponding dispersion curves are constructed. The main attention is focused on the effect of the presence of the fluid and the effect of the fluid layer thickness (i.e., the fluid depth) on the dispersion curves. The influence of the problem parameters on the dispersion curves related to the quasi-Scholte wave is also considered. As a result of the analyses of the numerical results, concrete conclusions are made about the influence of the fluid depth, the rigid wall restriction on the fluid motion, and the material properties of the constituents on the dispersion curves. During the analyses, the zeroth and the first four modes of the propagating waves are considered.

Key Words
quasi-lamb waves; wave dispersion; quasi-Scholte waves; elastic layer; hydro-elastic system; compressible inviscid fluid

Address
Surkay D. Akbarov: Department of Mechanical Engineering, Yildiz Technical University, Istanbul, Turkey; Institute of Mathematics and Mechanics of the Azerbaijan National Academy of Sciences, Baku, Azerbaijan
Masoud Negin: Department of Civil Engineering, Bahcesehir University, Istanbul, Turkey

Abstract
The theory of generalized thermo-magneto-electroelasticity is employed to obtain the plane wave solutions in an unbounded, homogeneous and transversely isotropic medium. Reflection phenomena of plane waves is considered at a stress free and thermally insulated surface. For incidence of a plane wave, the expressions of reflection coefficients and energy ratios for reflected waves are derived. To explore the characteristics of reflection coefficients and energy ratios, a quantitative example is set up. The half-space of the thermo-magneto-electroelastic medium is assumed to be made out of lithium niobate. The dependence of reflection coefficients and energy ratios on the angle of incidence is illustrated graphically for different values of electric, magnetic and thermal parameters.

Key Words
thermo-magneto-electroelasticity; plane waves; reflection coefficients; energy ratios

Address
Baljeet Singh: Department of Mathematics, Post Graduate Government College, Sector-11, Chandigarh - 160 011, India
Aarti Singh: Department of Mathematics, Maharishi Markandeshwar University, Mullana, Haryana, India

Abstract
Strengthening of reinforced concrete beams with externally bonded fiber reinforced polymer plates/sheets technique has become widespread in the last two decades. Although a great deal of research has been conducted on simply supported RC beams, a few studies have been carried out on continuous beams strengthened with FRP composites. This paper presents a simple uniaxial nonlinear analytical model that is able to accurately estimate the load carrying capacity and the behaviour of damaged RC continuous beams flexural strengthened with externally bonded prestressed composite plates on both of the upper and lower fibers, taking into account the thermal load. The model is based on equilibrium and deformations compatibility requirements in and all parts of the strengthened beam, i.e., the damaged concrete beam, the FRP plate and the adhesive layer. The flexural analysis results and analytical predictions for the prestressed composite strengthened damaged RC continuous beams were compared and showed very good agreement in terms of the debonding load, yield load, and ultimate load. The use of composite materials increased the ultimate load capacity compared with the non strengthened beams. The major objective of the current model is to help engineers' model FRP strengthened RC continuous beams in a simple manner. Finally, this research is helpful for the understanding on mechanical behaviour of the interface and design of the FRP-damaged RC hybrid structures.

Key Words
composite plate; interfacial stresses; damaged RC continuous beam; strengthening, shear lag effect

Address
Hassaine Daouadji Tahar, Rabahi Abderezak, Benferhat Rabia: Civil Engineering Department, University of Tiaret, Algeria;
Laboratory of Geomatics and Sustainable Development, University of Tiaret, Algeria
Abdelouahed Tounsi: YFL (Yonsei Frontier Lab), Yonsei University, Seoul, Korea; LMH Laboratory, Civil Engineering Department, University of Sidi Bel Abbes, Algeria; Department of Civil and Environmental Engineering, King Fahd University Saudi Arabia

Abstract
An analytical model is consider to scrutinize axisymmetric wave propagation in multiferroic hollow cylinder with rotating and initial stressed forces, where a piezomagnetic (PM) material layer is bonded to a piezoelectric (PE) cylinder together by Linear elastic materials with voids. Both distinct material combos are taken into account. Three displacement potential functions are introduced to uncouple the equations of motion, electric and magnetic induction. The numerical calculations are carried out for the non-dimensional frequency by fixing wave number and thickness. The arrived outputs are plotted as the dispersion curves for different layers. The results obtained in this paper can offer significance to the application of PE/PM composite hollow cylinder via LEMV and CFRP layers for the acoustic wave and microwave technologies.

Key Words
multiferroic material; LEMV/CFRP; initial stressed; rotating cylinders; dispersion relation

Address
R. Selvamani: Department of Mathematics, Karunya Institute of Technology and Sciences, Coimbatore, 641114, India
S. Mahesh: Department of Mathematics, Karunya Institute of Technology and Sciences, Coimbatore, 641114, India; Department of Mathematics, V.S.B. Engineering College Karur, 639111, India
F. Ebrahimi: Department of Mechanical Engineering, Imam Khomieni International University, Qazvin, Iran


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