Document Details

Document Type : Article In Journal 
Document Title :
Elastic and viscoelastic solutions to rotating functionally graded hollow and solid cylinders
Elastic and viscoelastic solutions to rotating functionally graded hollow and solid cylinders
 
Subject : Mthematics 
Document Language : English 
Abstract : Analytical solutions to rotating functionally graded hollow and solid long cylinders are developed. Young's modulus and material density of the cylinder are assumed to vary exponentially in the radial direction, and Poisson's ratio is assumed to be constant. A unified governing equation is derived from the equilibrium equations, compatibility equation, deformation theory of elasticity and the stress-strain relationship. The governing second-order differential equation is solved in terms of a hypergeometric function for the elastic deformation of rotating functionally graded cylinders. Dependence of stresses in the cylinder on the inhomogeneous parameters, geometry and boundary conditions is examined and discussed. The proposed solution is validated by comparing the results for rotating functionally graded hollow and solid cylinders with the results for rotating homogeneous isotropic cylinders. In addition, a viscoelastic solution to the rotating viscoelastic cylinder is presented, and dependence of stresses in hollow and solid cylinders on the time parameter is examined. © 2008 Shanghai University and Springer-Verlag GmbH. 
ISSN : 0253-4827 
Journal Name : Applied Mathematics and Mechanics (English Edition), 29 (12), pp. 1601-1616 
Volume : 29 
Issue Number : 12 
Publishing Year : 2008 AH
2008 AD 
Number Of Pages : 16 
Article Type : Article 
Added Date : Thursday, October 15, 2009 

Researchers

Researcher Name (Arabic)Researcher Name (English)Researcher TypeDr GradeEmail
أشرف مبارز نقورAshraf M ZenkourResearcherDoctoratezenkour@gmail.com
داود سليمان محمد مشاطDaoud Suleiman MashatResearcherDoctoratedmashat@kau.edu.sa
Elsibai, K.AElsibai, K.AResearcherDoctorate 

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