Stochastic analysis of pull-in instability of geometrically nonlinear size-dependent FGM micro beams with random material properties

2018 ◽  
Vol 200 ◽  
pp. 466-479 ◽  
Author(s):  
Mohsen Mohammadi ◽  
Mohammad Eghtesad ◽  
Hossein Mohammadi
2011 ◽  
Vol 250-253 ◽  
pp. 3848-3853
Author(s):  
Malgorzata Kowalik

Stochastic finite differences are proposed for analysis of pore pressures in concrete structure with random material properties subjected to fire loadings. The theoretical formulation of the problem is described. A system of partial differential equations is obtained and solved for first two probabilistic moments of the random pressure field. Example of stochastic analysis in concrete structure with random material parameters is given.


2016 ◽  
Vol 18 (31) ◽  
pp. 21508-21517 ◽  
Author(s):  
Xiao-Ye Zhou ◽  
Bao-Ling Huang ◽  
Tong-Yi Zhang

Surfaces of nanomaterials play an essential role in size-dependent material properties.


2011 ◽  
Vol 110-116 ◽  
pp. 113-119 ◽  
Author(s):  
Rajesh Kumar ◽  
Dharamveer Singh

The aim of this paper is to find out the randomness in the material properties on the buckling of laminated composite plate needed for the economy, safety and reliability of the structures and components in their operational life especially for sensitive Aerospace Engineering applications in hygrothermal environments. Micromechanical model has been taken for the analysis .The used methodology is a C0 finite element method based on higher-order shear deformation plate theory for deriving the standard eigenvalue problem. A Taylor series based mean-centered first order perturbation technique is used to find out the second order statistics of the hygrothermal buckling loads under different sets of environmental conditions..The numerical results for deterministic parameters are compared and validated with available literature and random parameters with independent Monte Carlo Simulation. The result shows that the plate is significantly affected by the hygrothermal buckling load.


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