Parameter identification in a probabilistic setting
The parameters to be identified are described as random variables, the randomness
reflecting the uncertainty about the true values, allowing the incorporation of new information …
reflecting the uncertainty about the true values, allowing the incorporation of new information …
Time-separated stochastic mechanics for the simulation of viscoelastic structures with local random material fluctuations
Simulating structures with history-dependent material models and uncertain material
parameters is often computationally expensive. In contrast, the time-separated stochastic …
parameters is often computationally expensive. In contrast, the time-separated stochastic …
Toward stochastic multiscale methods in continuum solid mechanics
L Noels - Advances in Applied Mechanics, 2022 - Elsevier
The scientific community has realized that nondeterminism is a major issue that affects
structural and material performance and reliability. Because experimental characterization …
structural and material performance and reliability. Because experimental characterization …
On periodic boundary conditions and ergodicity in computational homogenization of heterogeneous materials with random microstructure
Due to high computational costs associated with stochastic computational homogenization,
a highly complex random material microstructure is often replaced by simplified, parametric …
a highly complex random material microstructure is often replaced by simplified, parametric …
Modified SFEM for computational homogenization of heterogeneous materials with microstructural geometric uncertainties
D Pivovarov, P Steinmann - Computational Mechanics, 2016 - Springer
In the current work we examine the application of the stochastic finite element method
(SFEM) to the modeling of representative volume elements for heterogeneous materials …
(SFEM) to the modeling of representative volume elements for heterogeneous materials …
Stochastic local FEM for computational homogenization of heterogeneous materials exhibiting large plastic deformations
Computational homogenization is a powerful tool allowing to obtain homogenized
properties of materials on the macroscale from simulations of the underlying microstructure …
properties of materials on the macroscale from simulations of the underlying microstructure …
[HTML][HTML] Acceleration of uncertainty updating in the description of transport processes in heterogeneous materials
The prediction of thermo-mechanical behaviour of heterogeneous materials such as heat
and moisture transport is strongly influenced by the uncertainty in parameters. Such …
and moisture transport is strongly influenced by the uncertainty in parameters. Such …
A variational‐inequality approach to stochastic boundary value problems with inequality constraints and its application to contact and elastoplasticity
This paper is concerned with stochastic boundary value problems (SBVPs) whose
formulation involves inequality constraints. A class of stochastic variational inequalities …
formulation involves inequality constraints. A class of stochastic variational inequalities …
Probabilistic multiscale analysis of inelastic localized failure in solid mechanics
A Ibrahimbegovic, HG Matthies - Computer Assisted Methods in …, 2017 - cames.ippt.pan.pl
In this work, we discuss the role of probability in providing the most appropriate multiscale
based uncertainty quantification for the inelastic nonlinear response of heterogeneous …
based uncertainty quantification for the inelastic nonlinear response of heterogeneous …
Modeling of viscoelastic structures with random material properties using time‐separated stochastic mechanics
Modeling and simulation of materials with stochastic properties is an emerging field in both
mathematics and mechanics. The most important goal is to compute the stochastic …
mathematics and mechanics. The most important goal is to compute the stochastic …