scholarly journals Stability analysis of functionally graded plates Based On The Three-Dimensional Theory of Elasticity

2021 ◽  
pp. 100200
Author(s):  
A.V. Marchuk ◽  
А.М. Оnyshchenko ◽  
I.P. Plazii
Keyword(s):  
Stability Analysis ◽  
Three Dimensional ◽  
Theory Of Elasticity ◽  
Functionally Graded ◽  
Functionally Graded Plates ◽  
Dimensional Theory

scholarly journals Three-Dimensional Elasticity Solutions for Sound Radiation of Functionally Graded Materials Plates considering State Space Method

2016 ◽  
Vol 2016 ◽  
pp. 1-15 ◽  
Author(s):  
Tieliang Yang ◽  
Qibai Huang ◽  
Shande Li
Keyword(s):  
State Space ◽  
Functionally Graded Materials ◽  
Three Dimensional ◽  
Sound Radiation ◽  
Theory Of Elasticity ◽  
Functionally Graded ◽  
State Space Method ◽  
Dimensional Theory ◽  
Graded Materials ◽  
Space Method

This paper presents an analytical study for sound radiation of functionally graded materials (FGM) plate based on the three-dimensional theory of elasticity. The FGM plate is a mixture of metal and ceramic, and its material properties are assumed to have smooth and continuous variation in the thickness direction according to a power-law distribution in terms of volume fractions of the constituents. Based on the three-dimensional theory of elasticity and state space method, the governing equations with variable coefficients of the FGM plate are derived. The sound radiation of the vibration plate is calculated with Rayleigh integral. Comparisons of the present results with those of solutions in the available literature are made and good agreements are achieved. Finally, some parametric studies are carried out to investigate the sound radiation properties of FGM plates.

Thermoelastic stability analysis of functionally graded plates: An analytical approach

2010 ◽  
Vol 49 (4) ◽  
pp. 865-870 ◽  
Author(s):  
M. Bouazza ◽  
A. Tounsi ◽  
E.A. Adda-Bedia ◽  
A. Megueni
Keyword(s):  
Stability Analysis ◽  
Analytical Approach ◽  
Functionally Graded ◽  
Functionally Graded Plates

Three-Dimensional Elasticity Solution of a Composite Beam

1967 ◽  
Vol 1 (2) ◽  
pp. 122-135 ◽  
Author(s):  
Staley F. Adams ◽  
M. Maiti ◽  
Richard E. Mark
Keyword(s):  
Three Dimensional ◽  
Solid Wood ◽  
Theory Of Elasticity ◽  
Orthotropic Materials ◽  
Stress And Strain ◽  
Cantilever Beams ◽  
Dimensional Theory ◽  
Reinforced Plastics ◽  
Three Dimensional Elasticity ◽  
Moduli Of Elasticity

This investigation was undertaken to develop a rigorous mathe matical solution of stress and strain for a composite pole con sisting of a reinforced plastics jacket laminated on a solid wood core. The wood and plastics are treated as orthotropic materials. The problem of bending of such poles as cantilever beams has been determined by the application of the principles of three- dimensional theory of elasticity. Values of all components of the stress tensor in cylindrical coordinates are given for the core and jacket. Exact values for the stresses have been obtained from computer results, using the basic elastic constants—Poisson's ratios, moduli of elasticity and moduli of rigidity—for each ma terial. A comparison of the numerical results of the exact solu tion with strength of materials solutions has been completed.

Sign in / Sign up

Export Citation Format

Share Document