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CONTENTS
Volume 8, Number 3, June 2019
 

Abstract
This paper studies the forced vibration of the hydro-elastic system consisting of the anisotropic (orthotropic) plate, compressible viscous fluid and rigid wall within the scope of the exact equations and relations of elastodynamics for anisotropic bodies for describing of the plate motion, and with utilizing the linearized exact Navier-Stokes equations for describing of the fluid flow. For solution of the corresponding boundary value problem it is employed time-harmonic presentation of the sought values with respect to time and the Fourier transform with respect to the space coordinate on the coordinate axis directed along the plate length. Numerical results on the pressure acting on the interface plane between the plate and fluid are presented and discussed. The main aim in this discussion is focused on the study of the influence of the plate material anisotropy on the frequency response of the mentioned pressure. In particular, it is established that under fixed values of the shear modulus of the plate material a decrease in the values of the modulus of elasticity of the plate material in the direction of plate length causes to increase of the absolute values of the interface pressure. The numerical results are presented not only for the viscous fluid case but also for the inviscid fluid case.

Key Words
compressible viscous fluid; anisotropic plate; interface pressure; forced vibration; hydro-elastic system; fourier transform

Address
Surkay D. Akbarov: 1.) Department of Mechanical Engineering, Yildiz Technical University 34349, Besiktas, Istanbul, Turkey
2.)Institute of Mathematics and Mechanics of the National Academy of Sciences of Azerbaijan,
AZ1141, Baku, Azerbaijan

Tarana V. Huseynova: Ganja State University, Ganja, Azerbaijan

Abstract
The present research deals in two dimensional (2D) transversely isotropic magneto generalized thermoelastic solid without energy dissipation and with two temperatures due to time harmonic sources in Lord-Shulman (LS) theory of thermoelasticity. The Fourier transform has been used to find the solution of the problem. The displacement components, stress components and conductive temperature distribution with the horizontal distance are calculated in transformed domain and further calculated in the physical domain numerically. The effect of two temperature are depicted graphically on the resulting quantities.

Key Words
transversely isotropic Magneto thermoelastic; nechanical and thermal stresses; inclined load; time harmonic source

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

Abstract
Fee vibrational characteristics of porous steel double-coupled nanoplate system in thermo-elastic medium is studied via a refined plate model. Different pore dispersions called uniform, symmetric and asymmetric have been defined. Nonlocal strain gradient theory (NSGT) containing two scale parameters has been adopted to stablish size-dependent modeling of the system. Hamilton\'s principle has been adopted to stablish the governing equations. Obtained results from Galerkin\'s method are verified with those provided in the literature. The effects of nonlocal parameter, strain gradient, foundation parameters, porosity distributions and porosity coefficient on vibration frequencies of metal foam nanoscale plates have been examined.

Key Words
free vibration; refined plate theory; porous nanoplate; nonlocal elasticity; porosities

Address
Raad M. Fenjan, Ridha A. Ahmed, Abbas A. Alasadi and Nadhim M. Faleh: Al-Mustansiriah University, Engineering Collage P.O. Box 46049, Bab-Muadum, Baghdad 10001, Iraq

Abstract
This paper presents forced vibration analysis of sandwich deep beams made of functionally graded material (FGM) in face layers and a porous material in core layer. The FGM sandwich deep beam is subjected to a harmonic dynamic load. The FGM in the face layer is graded though the layer thickness. In order to get more realistic result for the deep beam problem, the plane solid continua is used in the modeling of The FGM sandwich deep beam. The equations of the problem are derived based the Hamilton procedure and solved by using the finite element method. The novelty in this paper is to investigate the dynamic responses of sandwich deep beams made of FGM and porous material by using the plane solid continua. In the numerical results, the effects of different material distributions, porosity coefficient, geometric and dynamic parameters on the dynamic responses of the FGM sandwich deep beam are investigated and discussed.

Key Words
sandwich composites; deep beam; forced vibration; porosity; functionally graded material

Address
Şeref D. Akbaş: Department of Civil Engineering, Bursa Technical University, Yildirim Campus, Yildirim, Bursa 16330, Turkey

Abstract
Elastoplastic analysis of an annular disc, being fully constrained on its outer rim and interacting with a purely elastic inclusion perfectly bonded with its inner rim, is conducted to study its plastic deformation and residual stress under thermal cycles. The system is termed the composite disc. Quasi-static plane-strain deformation is assumed, and the von Mises yield criterion with or without the Ludwik hardening rule is adopted in our finite element calculations. Effects of multiple material properties simultaneously being temperature dependent on the plastic behavior of the composite disc are considered. Residual stress is analyzed from a complete loading and unloading cycle. Results are discussed for various inclusion radii. It is found that when temperature dependent material properties are considered, the maximum residual stress may be greater than the maximum stress inside the disc at the temperature-loaded state due to lower temperature having larger yield stress. Temperature independent material properties overestimate stresses inside materials, as well as the elastic irreversible temperature and plastic collapse temperature.

Key Words
plasticity; residual stress; temperature-dependent material properties; finite element analysis; composite circular disc

Address
Somayeh Bagherinejad Zarandi, Hsiang-Wei Lai and Yun-Che Wang: Department of Civil Engineering, National Cheng Kung University, 1 University Road, Tainan 70101, Taiwan

Sergey M. Aizikovich: Research and Education Center \"Materials\", Don State Technical University and Vorovich Research Institute of Mechanics and Applied Mathematics, Southern Federation University, Rostov-on-Don, Russia


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