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An energy-based study of the embedded element method for explicit dynamics
Springer Science and Business Media LLC - Tập 9 - Trang 1-18 - 2022
Valerie A. Martin, Reuben H. Kraft, Thomas H. Hannah, Stephen Ellis
The embedded finite element technique provides a unique approach for modeling of fiber-reinforced composites. Meshing fibers as distinct bundles represented by truss elements embedded in a matrix material mesh allows for the assignment of more specific material properties for each component rather than homogenization of all of the properties. However, the implementations of the embedded element te...... hiện toàn bộ
An updated Gappy-POD to capture non-parameterized geometrical variation in fluid dynamics problems
Springer Science and Business Media LLC - Tập 9 - Trang 1-34 - 2022
Nissrine Akkari, Fabien Casenave, David Ryckelynck, Christian Rey
In this work, we propose a new method to fill the gap within an incomplete turbulent and incompressible data field in such a way to satisfy the topological and intensity changes of the fluid flow after a non-parameterized geometrical variation in the fluid domain. This work extends the one that has been published as a conference proceeding to the 2018 AIAA Scitech Forum and Exposition (Akkari et a...... hiện toàn bộ
A new boundary element algorithm for modeling and simulation of nonlinear thermal stresses in micropolar FGA composites with temperature-dependent properties
Springer Science and Business Media LLC - - 2021
Mohamed Abdelsabour Fahmy
AbstractThe main aim of this article is to develop a new boundary element method (BEM) algorithm to model and simulate the nonlinear thermal stresses problems in micropolar functionally graded anisotropic (FGA) composites with temperature-dependent properties. Some inside points are chosen to treat the nonlinear terms and domain integrals. An integral formulation w...... hiện toàn bộ
Application of machine learning procedures for mechanical system modelling: capabilities and caveats to prediction-accuracy
Springer Science and Business Media LLC - Tập 7 Số 1 - 2020
Thomas Groensfelder, Fabian Giebeler, Marco Geupel, David C. Schneider, Rebecca Jaeger
AbstractThis article presents an investigation about prediction accuracy of multi-parametric models derived from numerical data. Three different mechanical test-cases are used for the generation of the numerical data. From this data, models are derived for the prediction of characteristic variation to arbitrary changes of the input parameters. Different modeling ap...... hiện toàn bộ
Adaptive surrogate modeling for response surface approximations with application to bayesian inference
Springer Science and Business Media LLC - Tập 2 - Trang 1-21 - 2015
Serge Prudhomme, Corey M. Bryant
Parameter estimation for complex models using Bayesian inference is usually a very costly process as it requires a large number of solves of the forward problem. We show here how the construction of adaptive surrogate models using a posteriori error estimates for quantities of interest can significantly reduce the computational cost in problems of statistical inference. As surrogate models provide...... hiện toàn bộ
Parametric models analysed with linear maps
Springer Science and Business Media LLC - Tập 7 - Trang 1-22 - 2020
Hermann G. Matthies, Roger Ohayon
Parametric entities appear in many contexts, be it in optimisation, control, modelling of random quantities, or uncertainty quantification. These are all fields where reduced order models (ROMs) have a place to alleviate the computational burden. Assuming that the parametric entity takes values in a linear space, we show how is is associated to a linear map or operator. This provides a general poi...... hiện toàn bộ
A hierarchical non-intrusive algorithm for the generalized finite element method
Springer Science and Business Media LLC - Tập 5 - Trang 1-28 - 2018
Travis B. Fillmore, C. Armando Duarte
An algorithm for non-intrusively coupling a commercial finite element software with a research code implementing a hierarchical enrichment of finite element spaces is presented. Examples of hierarchical methods supported by the algorithm are the Generalized or eXtended FEM (GFEM), the scale-bridging GFEM with numerically defined enrichment functions (GFEM ...... hiện toàn bộ
Explicit Verlet time-integration for a Nitsche-based approximation of elastodynamic contact problems
Springer Science and Business Media LLC - Tập 5 - Trang 1-38 - 2018
Franz Chouly, Yves Renard
The aim of the present paper is to study theoretically and numerically the Verlet scheme for the explicit time-integration of elastodynamic problems with a contact condition approximated by Nitsche’s method. This is a continuation of papers (Chouly et al. ESAIM Math Model Numer Anal 49(2), 481–502, 2015; Chouly et al. ESAIM Math Model Numer Anal 49(2), 503–528, 2015) where some implicit schemes (t...... hiện toàn bộ
Estimation of the validity domain of hyper-reduction approximations in generalized standard elastoviscoplasticity
Springer Science and Business Media LLC - - 2015
David Ryckelynck, Laurent Gallimard, Samuel Jules
Remarks on mixed-integer formulations for hyper-reduction schemes in nonlinear dynamics
Springer Science and Business Media LLC - Tập 7 - Trang 1-23 - 2020
Pierre Phalippou, Piotr Breitkopf, Salim Bouabdallah, Malek Zarroug, Pierre Villon
The hyper-reduction problem for reduced-order internal forces evaluation in transient, nonlinear, explicit dynamics is reformulated, employing Mixed-Integer Programming (MIP), taking into account consistency constraints. Constraint reduction is introduced. Resulting quadratures, as well as reduced runs, are compared against the standard Energy Conserving Sampling and Weighting (ECSW) scheme, on a ...... hiện toàn bộ
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