Document Details

Document Type : Article In Journal 
Document Title :
Benchmark trigonometric and 3-D elasticity solutions for an exponentially graded thick rectangular plate
Benchmark trigonometric and 3-D elasticity solutions for an exponentially graded thick rectangular plate
 
Document Language : Arabic 
Abstract : The bending problem of a transverse load acting on an isotropic inhomogeneous rectangular plate using both two-dimensional (2-D) trigonometric and three-dimensional (3-D) elasticity solutions is considered. In the present 2-D solution, trigonometric terms are used for the displacements in addition to the initial terms of a power series through the thickness. The effects due to transverse shear and normal deformations are both included. The form of the assumed 2-D displacements is simplified by enforcing traction-free boundary conditions at the faces of the plate. No transverse shear correction factors are needed because a correct representation of the transverse shearing strain is given. The plate material is exponentially graded, meaning that Lames coefficients vary exponentially in a given fixed direction (the thickness direction). A wide variety of results for the displacements and stresses of an exponentially graded rectangular plate are presented. The validity of the present 2-D trigonometric solution is demonstrated by comparison with the 3-D elasticity solution. The influence of aspect ratio, side-to-thickness ratio and the exponentially graded parameter on the bending response are investigated. 
Journal Name : ARCHIVE OF APPLIED MECHANICS 
Volume : 77 
Issue Number : 4 
Publishing Year : 2007 AH  
Added Date : Tuesday, June 17, 2008 

Researchers

Researcher Name (Arabic)Researcher Name (English)Researcher TypeDr GradeEmail
أشرف مبارز زنقورZenkour, A. MResearcher  

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