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Comparison of three dimensional elasticity solutions for functionally graded plates
- Source :
- Composite Structures. 202:424-435
- Publication Year :
- 2018
- Publisher :
- Elsevier BV, 2018.
-
Abstract
- Three dimensional (3-D) elasticity solution is presented for simply supported functionally graded (FG) material plate by using a semi analytical approach . Formulation is based on solution of a two-point boundary value problem (BVP) governed by a set of coupled first order ordinary differential equations (ODEs) through thickness of plate. Fourth-order Runge–Kutta algorithm is used for numerical integration of these ODEs. A comprehensive comparison of the present formulation with other 3-D elasticity approaches available in the literature is also attempted. The proposed semi-analytical model is very simple, efficient and highly accurate. Both displacements and stresses are evaluated simultaneously with the same degree of accuracy which is the main feature of the present development.
- Subjects :
- Imagination
Cylindrical bending
media_common.quotation_subject
Functionally graded material
02 engineering and technology
0203 mechanical engineering
TRANSIENT THERMOELASTIC PROBLEM
Boundary value problem
Elasticity (economics)
Civil and Structural Engineering
Mathematics
media_common
COMPOSITE
VIBRATION
Three dimensional
Mathematical analysis
Ode
THICK RECTANGULAR-PLATES
THERMAL-STRESSES
021001 nanoscience & nanotechnology
First order
Numerical integration
020303 mechanical engineering & transports
Ordinary differential equation
Ceramics and Composites
0210 nano-technology
Subjects
Details
- ISSN :
- 02638223
- Volume :
- 202
- Database :
- OpenAIRE
- Journal :
- Composite Structures
- Accession number :
- edsair.doi.dedup.....85b3d7a11a98d29c3c2a1f75694bb3e1