an exact elastodynamic solution for func-tionally graded thick-walled cylinders subjected to dynamic pressures
Authors
abstract
in the present paper, an exact solution for transient response of an infinitely long functionally graded thick-walled cylinder subjected to dynamic pressures at the boundary surfaces is presented for arbitrary initial conditions. the cylinder is assumed to have a plane-strain condition and the dynamic pressures are assumed to be imposed uniformly and axisymmetrically on the boundary surfaces. material properties of the cylinder are assumed to vary through the thickness according to a power law function. in contrast to many previous researches, the fgm cylinder is not divided into isotropic sub-cylinders. a solution approach associated with the expansion of the transient wave functions in terms of a series of the eigen functions is employed. the dynamic radial displacement expression is divided into quasi-static and dynamic parts and for each part, an analytical solution is presented. by this method, radial displacement and stress distributions in the functionally graded thick-walled cylinders are obtained for various values of the exponent of the power law function, various radius ratios, and various dynamic loads. finally, advantages of the proposed method are discussed.
similar resources
An Exact Elastodynamic Solution for Func-tionally Graded Thick-Walled Cylinders Subjected to Dynamic Pressures
In the present paper, an exact solution for transient response of an infinitely long functionally graded thick-walled cylinder subjected to dynamic pressures at the boundary surfaces is presented for arbitrary initial conditions. The cylinder is assumed to have a plane-strain condition and the dynamic pressures are assumed to be imposed uniformly and axis...
full textDetermination of Residual Stress for Single and Double Autofrettage of Thick-walled FG Cylinders Subjected to Dynamic Loading
In the present article a numerical procedure is developed for dynamic analysis of single and double autofrettage of thick–walled FG cylinders under transient loading. The governing differential equations are discretized and presented in explicit Lagrangian formalism. The explicit transient solution of discrete equations are obtained on the meshed region and results for stress and strain distrib...
full texta thermoelasticity solution for thick cylinders subjected to thermo-mechanical loads under various boundary conditions
in this paper, a thermoelasticity solution for steady state response of thick cylinders which are subjected to pressure and external heat flux in inner surface is presented. displacement field obeys the kinematics of the first order shear deformation theory (fsdt). it is assumed that the temperature varies both along the length and the thickness. the variation of the temperature occurs linearly...
full textAn Elasticity Solution for Static Analysis of Functionally Graded Curved Beam Subjected to a Shear Force
In this paper, using 2-D theory of elasticity, a closed-form solution is presented for stressdistributions and displacements of a FG curved beam under shear force at its free end. The materialproperties are assumed to vary continuously through the radial direction based on a simple power lawmodel and Poisson’s ratio is supposed to be constant. In order to verify the solution, it is shown that a...
full textThermal Creep Analysis of Functionally Graded Thick-Walled Cylinder Subjected to Torsion and Internal and External Pressure
Safety analysis has been done for the torsion of a functionally graded thick-walled circular cylinder under internal and external pressure subjected to thermal loading. In order to determine stresses the concept of Seth’s transition theory based on generalized principal strain measure has been used. This theory simplifies the set of mechanical equations by mentioning the order of the measure of...
full textElasto-plastic solution for thick-walled spherical vessels with an inner FGM layer
Purely elastic, partially and fully plastic stress states in a thick-walled spherical pressure vessel with an inner functionally graded material (FG) coating subjected to internal and external pressures are developed analytically in this paper. The modulus of elasticity and the uniaxial yield limit of the FG coating layer are considered to vary nonlinearly through the thickness. Using Tresca’s ...
full textMy Resources
Save resource for easier access later
Journal title:
iranian journal of mechanical engineering transactions of the ismeجلد ۱۰، شماره ۱، صفحات ۵۶-۷۵
Hosted on Doprax cloud platform doprax.com
copyright © 2015-2023