Results 1 to 10 of about 15,207 (302)
Stochastic finite elements: Where is the physics? [PDF]
Theoretical and Applied Mechanics, 2011 The micromechanics based on the Hill-Mandel condition indicates that the majority of stochastic finite element methods hinge on random field (RF) models of material properties (such as Hooke’s law) having no physical content, or even at odds with ...
Ostoja-Starzewski Martin
doaj +3 more sources
Bridges for Pedestrians with Random Parameters using the Stochastic Finite Elements Analysis
International Journal of Applied Mechanics and Engineering, 2017 The main aim of this paper is to present a Stochastic Finite Element Method analysis with reference to principal design parameters of bridges for pedestrians: eigenfrequency and deflection of bridge span.
J. Szafran, M. Kamiński
doaj +2 more sources
Truncation Preconditioners for Stochastic Galerkin Finite Element Discretizations [PDF]
SIAM Journal on Scientific Computing, 2021 Stochastic Galerkin finite element method (SGFEM) provides an efficient alternative to traditional sampling methods for the numerical solution of linear elliptic partial differential equations with parametric or random inputs. However, computing stochastic Galerkin approximations for a given problem requires the solution of large coupled systems of ...
Alex Bespalov +2 more
openaire +2 more sources
Iterative Solvers for the Stochastic Finite Element Method [PDF]
SIAM Journal on Scientific Computing, 2010 This paper presents an overview and comparison of iterative solvers for linear stochastic partial differential equations (PDEs). A stochastic Galerkin finite element discretization is applied to transform the PDE into a coupled set of deterministic PDEs.
Eveline Rosseel, Stefan Vandewalle
openaire +1 more source
Assessing the Structural Performance of Biodegradable Capsules
Applied Sciences, 2023 Biodegradable materials pose challenges over all aspects of computational mechanics. In this study, the focus is on the resulting domain uncertainty. Model structures or devices are shells of revolution subject to random variation of the outer surface ...
Harri Hakula
doaj +1 more source
On generative models as the basis for digital twins
Data-Centric Engineering, 2021 A framework is proposed for generative models as a basis for digital twins or mirrors of structures. The proposal is based on the premise that deterministic models cannot account for the uncertainty present in most structural modeling applications.
George Tsialiamanis +3 more
doaj +1 more source
Convergence of adaptive stochastic collocation with finite elements
Computers & Mathematics with Applications, 2021 36 pages, 9 ...
Michael Feischl, Andrea Scaglioni
openaire +3 more sources
Numerical Simulation of Some Steel Structural Elements with Uncertain Initial Porosity
Metals, 2021 The main research purpose of this work was to study the elasto-plastic responses of some fundamental steel structural elements exhibiting stochastic volumetric microvoids. The constitutive model of the steel material was consistent with the deterministic
Marcin Kamiński, Michał Strąkowski
doaj +1 more source
THE STOCHASTIC FINITE ELEMENT METHOD FOR NUCLEAR APPLICATIONS [PDF]
Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS Congress 2016), 2016 Nuclear materials are subjected to demanding environments, encountering high temperature gradients and fast neutron fluxes that gradually damage its structure and there-fore change the material properties. Some components of a nuclear reactor determine its life-time, such as the graphite core and steel pressure vessel for fission reactors.
Mena, José David Arregui +6 more
openaire +2 more sources
Oil & Gas Science and Technology, 2020 A stochastic two-dimensional geomechanical model developed by the authors and presented herein is used to analyze wellbore stability in heterogeneous formations.
Batalha Nathalia A. +3 more
doaj +1 more source