scholarly journals Numerical simulation of functionally graded plane elastic medium by finite superelement method

2018 ◽  
Author(s):  
V. V. Mokryakov
Keyword(s):  
Numerical Simulation ◽  
Elastic Medium ◽  
Functionally Graded ◽  
Superelement Method ◽  
Finite Superelement Method

Dynamic Analysis with Stress Recovery for Functionally Graded Materials: Numerical Simulation and Experimental Benchmarking

2014 ◽  
Vol 2 (1) ◽  
pp. 21
Author(s):  
Carlos Alberto Dutra Fraga Filho ◽  
Fernando César Meira Menandro ◽  
Rivânia Hermógenes Paulino de Romero ◽  
Juan Sérgio Romero Saenz
Keyword(s):  
Numerical Simulation ◽  
Dynamic Analysis ◽  
Functionally Graded Materials ◽  
Functionally Graded ◽  
Stress Recovery ◽  
Graded Materials

Effect of Microstructure and Surface Energy on the Static and Dynamic Characteristics of FG Timoshenko Nanobeam Embedded in an Elastic Medium

2020 ◽  
Vol 61 ◽  
pp. 97-117 ◽  
Author(s):  
Rabab A. Shanab ◽  
Mohamed A. Attia ◽  
Salwa A. Mohamed ◽  
Norhan Alaa Mohamed
Keyword(s):  
Elastic Medium ◽  
Dynamic Characteristics ◽  
Mass Density ◽  
Surface Elasticity ◽  
Functionally Graded ◽  
Dynamic Responses ◽  
Axial Deformation ◽  
Residual Surface Stress ◽  
Surface Mass ◽  
Static And Dynamic Characteristics

This paper presents an investigation of the size-dependent static and dynamic characteristics of functionally graded (FG) Timoshenko nanobeams embedded in a double-parameter elastic medium. Unlike existing Timoshenko nanobeam models, the combined effects of surface elasticity, residual surface stress, surface mass density and Poisson’s ratio, in addition to axial deformation, are incorporated in the newly developed model. Also, the continuous gradation through the thickness of all the properties of both bulk and surface materials is considered via power law. The Navier-type solution is developed for simply supported FG nanobeam in the form of infinite power series for bending, buckling and free vibration. The obtained results agree well with those available in the literature. In addition, selected numerical results are presented to explore the effects of the material length scale parameter, surface parameters, gradient index, elastic medium, and thickness on the static and dynamic responses of FG Timoshenko nanobeams.

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