Double-Layered Piezothermoelastic Hollow Cylinder under Thermal Loading

2006 ◽  
pp. 684-692
Author(s):  
Ying Chen ◽  
Zhi Fei Shi
Keyword(s):  
Hollow Cylinder ◽  
Thermal Loading

Analytical Solution for the Creep Problem of a Rotating Functionally Graded Magneto–Electro–Elastic Hollow Cylinder in Thermal Environment

2019 ◽  
Vol 11 (06) ◽  
pp. 1950053 ◽  
Author(s):  
M. Saadatfar
Keyword(s):  
Differential Equation ◽  
Hollow Cylinder ◽  
Thermal Loading ◽  
Thermal Environment ◽  
Functionally Graded ◽  
Time Dependent ◽  
Creep Stress ◽  
Creep Analysis ◽  
Magnetic Potentials ◽  
Creep Strains

In this paper, an analytical method is presented for the problem of the time-dependent response of a functionally graded magneto–electro–elastic (FGMEE) rotating hollow cylinder in thermal environment. The material properties of FGMEE are supposed to be power-law functions of radius. Applying the equations of equilibrium and electrostatic and magnetostatic equations, a differential equation which includes creep strains is achieved. At first, an exact solution for the primitive stresses, electric and magnetic potentials are achieved by eliminating creep strains in the mentioned differential equation. Then, Prandtl–Reuss equations, as well as Norton’s law, are employed for the FGMEE. Now, creep stress rates can be achieved by considering only creep strains in the mentioned differential equation. As a final step, time-dependent creep stress, electric potential and magnetic potential redistributions at any time can be achieved using an iterative method. Numerical examples are presented to disclose the influence of creep evolution, thermal loading, angular velocity and grading index on the primitive and creep response of the FGMEE hollow cylinder. Results show that the enhancement in tensile hoop stress during the creep evolution must be considered in designing. So, the creep analysis is vital to have more reliable and accurate aerospace smart structures.

Double-Layered Piezothermoelastic Hollow Cylinder under Thermal Loading

2006 ◽  
Vol 302-303 ◽  
pp. 684-692 ◽  
Author(s):  
Ying Chen ◽  
Zhifei Shi
Keyword(s):  
Temperature Change ◽  
Hollow Cylinder ◽  
Thermal Loading ◽  
Theory Of Elasticity ◽  
Numerical Results ◽  
Mechanical Responses ◽  
Thermal Fields

In the present paper, a long thick-walled piezothermoelastic hollow cylinder under a symmetric thermal loading is studied. Based on the theory of elasticity, the mechanical and electrical as well as the thermal fields of the cylinder are obtained. Besides, the effects of both temperature change and the material difference between two layers on the mechanical responses and electric output of the cylinder are investigated in detail. For comparison, some discussions of numerical results are addressed at the end of this paper.

Analytical solution for thermal stresses in a hollow cylinder under periodic thermal loading

2011 ◽  
Vol 226 (7) ◽  
pp. 1705-1724 ◽  
Author(s):  
Hamid Mahmoudi ◽  
Gholamali Atefi
Keyword(s):  
Temperature Field ◽  
Fourier Series ◽  
Temperature Distribution ◽  
Analytical Solution ◽  
Hollow Cylinder ◽  
Constant Temperature ◽  
Excellent Agreement ◽  
Thermal Loading ◽  
Thermal Stresses ◽  
Time Varying

The aim of this article is to obtain a comprehensive analytical solution for thermal stresses in a hollow cylinder, subjected to periodic time-varying thermal loading on the inner circular and insulated outer circular surfaces, where both lateral surfaces are kept at constant temperature. Temperature distribution as a function of time, and radial, and longitudinal directions is analytically solved using Fourier series and the resulting thermal stresses are obtained. The proposed method is very comprehensive and covers many theoretical and practical problems. The results for both temperature field and thermal stresses have been compared with those obtained in the former works and show excellent agreement for the same conditions.

The transient coupled thermo-piezoelectric response of a functionally graded piezoelectric hollow cylinder to dynamic loadings

2009 ◽  
Vol 466 (2116) ◽  
pp. 1077-1091 ◽  
Author(s):  
M. H. Babaei ◽  
Z. T. Chen
Keyword(s):  
Relaxation Time ◽  
Hollow Cylinder ◽  
Electric Fields ◽  
Thermal Loading ◽  
Volume Fraction ◽  
Thermal Relaxation ◽  
Functionally Graded ◽  
Thermal Relaxation Time ◽  
Piezoelectric Response ◽  
Loading Effects

The transient, coupled thermo-piezoelectric response of a functionally graded, radially polarized hollow cylinder under dynamic axisymmetric loadings was investigated in the present paper. To take into account the simultaneous coupling of displacement, temperature and electric fields as well as non-Fourier heat conduction effect, the Chandrasekharaiah theory of generalized thermo-piezoelectricity was employed. Except thermal relaxation time which was taken to be constant, profiles of all other material properties follow a volume-fraction-based rule with different non-homogeneity indices for each property. To solve three governing coupled partial differential equations, the Galerkin finite-element method was used in the Laplace domain. To restore time, a numerical scheme was employed for the Laplace inversion. When the cylinder was exposed to a highly transient thermal loading, effects of the non-homogeneity index and thermal relaxation time on the results were investigated.

scholarly journals Semi-Analytical Solution of Functionally Graded Circular Short Hollow Cylinder Subject to Transient Thermal Loading

2014 ◽  
Vol 61 (3) ◽  
pp. 409-432 ◽  
Author(s):  
Jafar Eskandari Jam ◽  
Y. Rahmati Nezhad
Keyword(s):  
Analytical Solution ◽  
Hollow Cylinder ◽  
Thermal Loading ◽  
Thermal Stresses ◽  
Functionally Graded ◽  
Thermal Boundary Conditions ◽  
Numerical Laplace Inversion ◽  
Time Variations ◽  
Hollow Cylinders ◽  
Transient Thermal

Abstract In this paper, by using a semi-analytical solution based on multi-layered approach, the authors present the solutions of temperature, displacements, and transient thermal stresses in functionally graded circular hollow cylinders subjected to transient thermal boundary conditions. The cylinder has finite length and is subjected to axisymmetric thermal loads. It is assumed that the functionally graded circular hollow cylinder is composed of N fictitious layers and the properties of each layer are assumed to be homogeneous and isotropic. Time variations of the temperature, displacements, and stresses are obtained by employing series solving method for ordinary differential equation, Laplace transform techniques and a numerical Laplace inversion.

Radial mass analysis of unstained STEM images of molluscan hemocyanins

1990 ◽  
Vol 48 (3) ◽  
pp. 810-811
Author(s):  
M.G. Hamilton ◽  
T.T. Herskovits ◽  
J.S. Wall
Keyword(s):  
Image Analysis ◽  
Hollow Cylinder ◽  
Electron Micrographs ◽  
Side View ◽  
Mass Analysis ◽  
Mass Measurements ◽  
Electron Microscopic ◽  
Transmission Electron ◽  
Transmission Electron Microscopic ◽  
Microscopic Studies

The hemocyanins of molluscs are aggregates of a cylindrical decameric subparticle that assembles into di-, tri-, tetra-, penta-, and larger multi-decameric particles with masses that are multiples of the 4.4 Md decamer. Electron micrographs of these hemocyanins typically show the particles with two profiles: circular representing the cylinder viewed from the end and rectangular representing the side-view of the hollow cylinder.The model proposed by Mellema and Klug from image analysis of a didecameric hemocyanin with the two decamers facing one another with collar (closed) ends outward fits the appearance of side-views of the negatively-stained cylinders. These authors also suggested that there might be caps at the ends. In one of a series of transmission electron microscopic studies of molluscan hemocyanins, Siezen and Van Bruggen supported the Mellema-Klug model, but stated that they had never observed a cap component. With STEM we have tested the end cap hypothesis by direct mass measurements across the end-views of unstained particles.

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