The stochastic finite element method: past, present and future

G Stefanou - Computer methods in applied mechanics and …, 2009 - Elsevier
A powerful tool in computational stochastic mechanics is the stochastic finite element
method (SFEM). SFEM is an extension of the classical deterministic FE approach to the …

[HTML][HTML] Static, free vibration and buckling analysis of isotropic and sandwich functionally graded plates using a quasi-3D higher-order shear deformation theory and a …

AMA Neves, AJM Ferreira, E Carrera, M Cinefra… - Composites Part B …, 2013 - Elsevier
In this paper the authors derive a higher-order shear deformation theory for modeling
functionally graded plates accounting for extensibility in the thickness direction. The explicit …

Non-parametric simulation of non-stationary non-gaussian 3D random field samples directly from sparse measurements using signal decomposition and Markov …

T Zhao, Y Wang - Reliability Engineering & System Safety, 2020 - Elsevier
With the ever-growing computational power of personal computers over the past few
decades, stochastic simulation of spatially varying three-dimensional (3D) quantities has …

Free vibration analysis of functionally graded shells by a higher-order shear deformation theory and radial basis functions collocation, accounting for through-the …

AMA Neves, AJM Ferreira, E Carrera, M Cinefra… - European Journal of …, 2013 - Elsevier
This paper deals with free vibration problems of functionally graded shells. The analysis is
performed by radial basis functions collocation, according to a higher-order shear …

[图书][B] Mechanics of functionally graded material structures

IE Elishakoff, D Pentaras, C Gentilini - 2015 - books.google.com
Mechanics of Functionally Graded Material Structures is an authoritative and fresh look at
various functionally graded materials, customizing them with various structures. The book is …

Simulating nonstationary non-Gaussian vector process based on continuous wavelet transform

HP Hong, XZ Cui, D Qiao - Mechanical Systems and Signal Processing, 2022 - Elsevier
In the present study, we propose a new iterative algorithm based on discretized continuous
wavelet transform (CWT) to simulate nonstationary non-Gaussian vector process for …

[HTML][HTML] Machine learning aided static structural reliability analysis for functionally graded frame structures

Q Wang, Q Li, D Wu, Y Yu, F Tin-Loi, J Ma… - Applied Mathematical …, 2020 - Elsevier
A novel machine learning aided structural reliability analysis for functionally graded frame
structures against static loading is proposed. The uncertain system parameters, which …

Machine learning based stochastic dynamic analysis of functionally graded shells

T Mukhopadhyay, PK Karsh, B Basu, S Dey - Composite Structures, 2020 - Elsevier
This paper presents stochastic dynamic characterization of functionally graded shells based
on an efficient Support Vector Machine assisted finite element (FE) approach. Different shell …

Machine learning aided stochastic structural free vibration analysis for functionally graded bar-type structures

Q Wang, D Wu, F Tin-Loi, W Gao - Thin-Walled Structures, 2019 - Elsevier
This paper presents a machine learning aided stochastic free vibration analysis for
functionally graded (FG) bar-type structures through finite element method (FEM). The …

Assessment of spectral representation and Karhunen–Loève expansion methods for the simulation of Gaussian stochastic fields

G Stefanou, M Papadrakakis - Computer methods in applied mechanics …, 2007 - Elsevier
From the wide variety of methods developed for the simulation of Gaussian stochastic
processes and fields, two are most often used in applications: the spectral representation …