@Article{icces.2022.08679,
AUTHOR = {Ladislav Sator, Vladimir Sladek, Jan Sladek},
TITLE = {Transient Analysis of Micro/Nano Plates by Moving Finite Element  Method},
JOURNAL = {The International Conference on Computational \& Experimental Engineering and Sciences},
VOLUME = {24},
YEAR = {2022},
NUMBER = {1},
PAGES = {1--1},
URL = {http://www.techscience.com/icces/v24n1/48972},
ISSN = {1933-2815},
ABSTRACT = {The paper deals with transient analysis of homogeneous as well as FGM (functionally graded 
material) thin micro/nano plates subjected to transversal dynamic loading. within the highergrade continuum theory of elasticity. The microscopic structure of material is reflected in this 
higher-grade continuum theory via one material coefficient called the micro-length scale 
parameter. Furthermore the material can be composed of two micro-constituents what is included 
in the employed continuum model by functional gradation of the Young’s modulus through the 
plate thickness with assuming power-law dependence of volume fractions of micro-constituents 
on the transversal coordinate. The high order derivatives of field variables are eliminated by 
decomposing the original governing partial differential equations (PDE) into the system of PDEs 
with lower order derivatives. For the numerical implementation, the weak formulation is proposed 
with novel Moving Finite Element approximation method of spatial variations of field variables. 
The semi-discretized equations of motion yield a system of ordinary differential equations which 
can be solved by standard time stepping techniques. Several numerical simulations are devoted to 
study the influence of micro-length scale parameter as well as the parameters of gradation of 
Young’s modulus on coupled bending and in-plane deformation response modes.},
DOI = {10.32604/icces.2022.08679}
}