Journal ArticleDOI
Effects of SH waves in a functionally graded plate
Xu Han,Gui-Rong Liu +1 more
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In this article, a computational method is presented to investigate SH waves in functionally graded material (FGM) plates, in which the material properties are assumed as a quadratic function in the thickness direction, and a general solution for the equation of motion governing the QLE has been derived.About:
This article is published in Mechanics Research Communications.The article was published on 2002-09-01. It has received 73 citations till now. The article focuses on the topics: Functionally graded material & Bessel function.read more
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Study of the surface wave vibrations in a functionally graded material layered structure: a WKB method:
Shishir Gupta,Neelima Bhengra +1 more
TL;DR: In this paper, a theoretical investigation of the propagation behavior of Love-type waves in a functionally graded material layered structure is described, where the Wentzel-Kramers-Brillouin (WKB) meth is considered.
Journal ArticleDOI
Wave propagation analysis of functionally graded nanoplates using nonlocal higher-order shear deformation theory with spatial variation of the nonlocal parameters
TL;DR: In this article , an efficient higher-order shear deformation theory is proposed and applied in conjunction with nonlocal elasticity theory to analyze the wave propagation of infinite functionally graded (FG) nanoplates.
Journal ArticleDOI
A Meshfree Approach for Transient Heat Conduction Analysis of Nonlinear Functionally Graded Materials
TL;DR: In this paper, an alternative mesh-free approach is presented for transient heat conduction analysis of nonlinear functionally graded materials (FGMs), which combines the favorable properties of B-spline basis functions in having arbitrary degree for better resolution of solution.
Journal ArticleDOI
An exact analysis of surface acoustic waves in a plate of functionally graded materials
TL;DR: The Frobenius method is employed as the only available method for a detailed analysis of SAW in materials with property variations in a linear pattern and the effect of FGM on changes of surface displacements in SAW propagation.
Journal ArticleDOI
Coupling Magneto-Electro-Elastic node-based smoothed radial point interpolation method for free vibration and transient analysis of Functionally Graded Magneto-Electro-Elastic structures
TL;DR: In this paper, a Coupling Magneto-Electro-Elastic (MEE) Node-based Smoothed Radial Point Interpolation Method (CM-NS-RPIM) was proposed to solve the free vibration and transient responses of Functionally Graded magneto-electro-elastic (FGMEE) structures.
References
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Book
Handbook of Exact Solutions for Ordinary Differential Equations
A. D. Poli︠a︡nin,V. F. Zaĭt︠s︡ev +1 more
Abstract: Annotation Foreward Some Remarks and Notation First Order Differential Equations Simplest Equations with Arbitrary Functions Integrable in a Closed Form Riccati Equations: g(y)y'x = f2(x)y2 + f1(x)y + f0(x) Abel Equations of the Second Kind Equations Containing Polynomial Functions of y Nonlinear Equations of the Form f(x,y)y'x = g(x,y) Containing Arbitrary Parameters Equations Not Solved for Derivative Equations of the Form F(x,y)y'x = G(x,y) Containing Arbitrary Functions Equations of the Form F(x,y,y'x) = 0 Not Solved for the Derivative and Containing Arbitrary Functions Second Order Differential Equations Linear Equations Autonomous Equations y"xx = F(y,y'x) Emden-Fowler Equation y"xx = Axnym Equations of the Form y"xx = A1xn1ym1 + A2xn2ym2 Generalized Emden-Fowler Equation y"xx = Axnym(y'x)l Equations of the Form y"xx = A1xn1ym1(y'x)l1 + A2xn2ym2(y'x)l2 Equations of the Form y"xx = f(x)g(y)h(y'x) Some Nonlinear Equations with Arbitrary Parameters Equations Containing Arbitrary Functions Third Order Differential Equations Linear Equations Equations of the Form y'"xxx = Axayss(y'x)g(y"xx)d Equations of the Form y'"xxx = f(y)g(y'x)h(y"xx) Some Nonlinear Equations with Arbitrary Parameters Nonlinear Equations Containing Arbitrary Functions Fourth Order Differential Equations Linear Equations Nonlinear Equations Higher Order Differential Equations Linear Equations Nonlinear Equations Supplement 1. Some Elementary Functions and Their Properties Trigonometric Functions Hyperbolic Functions Inverse Trigonometric Functions Inverse Hyperbolic Functions Some Conventional Symbols Supplement 2. Some Special Functions Gamma-Function Bessel Functions Jn and Yn Modified Bessel Functions In and Kn Degenerate Hypergeometric Functions Legendre Functions The Weierstrass Function References Index
Journal ArticleDOI
Surface Waves in Functionally Gradient Piezoelectric Plates
Gui-Rong Liu,Junji Tani +1 more
TL;DR: In this paper, a hybrid numerical method for wave propagation analysis in anisotropic laminated plates is extended for functionally gradient piezoelectric material (FGPM) plates.
Journal ArticleDOI
Stress waves in functionally gradient materials and its use for material characterization
Gui-Rong Liu,Xu Han,K.Y. Lam +2 more
TL;DR: In this paper, a method was presented to investigate elastic waves in functionally gradient material (FGM) plates excited by plane pressure wavelets, where the FGM plate was first divided into linearly inhomogeneous elements (LIEs) and a general solution for the equation of motion governing the LIE was derived.
Journal ArticleDOI
Coulomb and Bessel functions of complex arguments and order
I J Thompson,A R Barnett +1 more
TL;DR: In this paper, the coulomb wavefunctions, originally constructed for real ϱ > 0, real η and integer λ ⪖ 0, are defined for ϱ, η, and λ all complex.