Articles

Non-intrusive nonlinear model reduction via machine learning approximations to low-dimensional operators

Although projection-based reduced-order models (ROMs) for parameterized nonlinear dynamical systems have demonstrated exciting results across a range of applications, their broad adoption has been limited by t...

Authors: Zhe Bai and Liqian Peng

Computational method for solving weakly singular Fredholm integral equations of the second kind using an advanced barycentric Lagrange interpolation formula

In this study, we applied an advanced barycentric Lagrange interpolation formula to find the interpolate solutions of weakly singular Fredholm integral equations of the second kind. The kernel is interpolated ...

Authors: E. S. Shoukralla, Nermin Saber and Ahmed Y. Sayed

A separated representation involving multiple time scales within the Proper Generalized Decomposition framework

Solutions of partial differential equations can exhibit multiple time scales. Standard discretization techniques are constrained to capture the finest scale to accurately predict the response of the system. In...

Authors: Angelo Pasquale, Amine Ammar, Antonio Falcó, Simona Perotto, Elías Cueto, Jean-Louis Duval and Francisco Chinesta

Evaluation of POD based surrogate models of fields resulting from nonlinear FEM simulations

Surrogate modelling is a powerful tool to replace computationally expensive nonlinear numerical simulations, with fast representations thereof, for inverse analysis, model-based control or optimization. For so...

Authors: Boukje M. de Gooijer, Jos Havinga, Hubert J. M. Geijselaers and Anton H. van den Boogaard

A simple yet consistent constitutive law and mortar-based layer coupling schemes for thermomechanical macroscale simulations of metal additive manufacturing processes

This article proposes a coupled thermomechanical finite element model tailored to the macroscale simulation of metal additive manufacturing processes such as selective laser melting. A first focus lies on the ...

Authors: Sebastian D. Proell, Wolfgang A. Wall and Christoph Meier

Enhanced parametric shape descriptions in PGD-based space separated representations

Space separation within the Proper Generalized Decomposition—PGD—rationale allows solving high dimensional problems as a sequence of lower dimensional ones. In our former works, different geometrical transform...

Authors: Mohammad Javad Kazemzadeh-Parsi, Amine Ammar, Jean Louis Duval and Francisco Chinesta

Industrial Digital Twins based on the non-linear LATIN-PGD

Digital Twins, which tend to intervene over the entire life cycle of products from early design phase to predictive maintenance through optimization processes, are increasingly emerging as an essential compone...

Authors: Philippe Barabinot, Ronan Scanff, Pierre Ladevèze, David Néron and Bruno Cauville

Coupling reduced-order blood flow and cardiac models through energy-consistent strategies: modeling and discretization

In this work we provide a novel energy-consistent formulation for the classical 1D formulation of blood flow in an arterial segment. The resulting reformulation is shown to be suitable for the coupling with a ...

Authors: Jessica Manganotti, Federica Caforio, François Kimmig, Philippe Moireau and Sebastien Imperiale

A nonparametric probabilistic method to enhance PGD solutions with data-driven approach, application to the automated tape placement process

A nonparametric method assessing the error and variability margins in solutions depicted in a separated form using experimental results is illustrated in this work. The method assess the total variability of t...

Authors: Chady Ghnatios and Anais Barasinski

Investigation of pollutants formation in a diesel engine using numerical simulation

The current study aims at simulating the in-cylinder combustion process in a diesel engine and investigating the engine performance and pollutant formation. The combustion simulation is performed on a 3D secto...

Authors: Muhammad Zahid and Khalid S. Syed

Greedy maximin distance sampling based model order reduction of prestressed and parametrized abdominal aortic aneurysms

This work proposes a framework for projection-based model order reduction (MOR) of computational models aiming at a mechanical analysis of abdominal aortic aneurysms (AAAs). The underlying full-order model (FO...

Authors: Alexander Schein and Michael W. Gee

A generalized Fourier transform by means of change of variables within multilinear approximation

The paper deals with approximations of periodic functions that play a significant role in harmonic analysis. The approach revisits the trigonometric polynomials, seen as combinations of functions, and proposes...

Authors: Mathilde Chevreuil and Myriam Slama

A novel physics-based and data-supported microstructure model for part-scale simulation of laser powder bed fusion of Ti-6Al-4V

The elasto-plastic material behavior, material strength and failure modes of metals fabricated by additive manufacturing technologies are significantly determined by the underlying process-specific microstruct...

Authors: Jonas Nitzler, Christoph Meier, Kei W. Müller, Wolfgang A. Wall and N. E. Hodge

An SPH framework for fluid–solid and contact interaction problems including thermo-mechanical coupling and reversible phase transitions

The present work proposes an approach for fluid–solid and contact interaction problems including thermo-mechanical coupling and reversible phase transitions. The solid field is assumed to consist of several ar...

Authors: Sebastian L. Fuchs, Christoph Meier, Wolfgang A. Wall and Christian J. Cyron

A semi-analytical coupled simulation approach for induction heating

The numerical simulation of the induction heating process can be computationally expensive, especially if ferromagnetic materials are studied. There are several analytical models that describe the electromagne...

Authors: Maialen Areitioaurtena, Unai Segurajauregi, Ville Akujärvi, Martin Fisk, Iker Urresti and Eneko Ukar

Contact modeling from images using cut finite element solvers

This paper presents a robust digital pipeline from CT images to the simulation of contact between multiple bodies. The proposed strategy relies on a recently developed immersed finite element algorithm that is...

Authors: S. Claus, P. Kerfriden, F. Moshfeghifar, S. Darkner, K. Erleben and C. Wong

Numerical simulation of the experimental behavior of RC beams at elevated temperatures

The danger of fire is present always and everywhere. The imminent danger depends upon the actual type and length of fire exposure. Reinforced concrete structural members are loadbearing components in buildup s...

Authors: Camille A. Issa and Ramezan A. Izadifard

A multiscale model of terrain dynamics for real-time earthmoving simulation

A multiscale model for real-time simulation of terrain dynamics is explored. To represent the dynamics on different scales the model combines the description of soil as a continuous solid, as distinct particle...

Authors: Martin Servin, Tomas Berglund and Samuel Nystedt

Compressible flow simulation with moving geometries using the Brinkman penalization in high-order Discontinuous Galerkin

In this work we investigate the Brinkman volume penalization technique in the context of a high-order Discontinous Galerkin method to model moving wall boundaries for compressible fluid...

Authors: Neda Ebrahimi Pour, Nikhil Anand, Harald Klimach and Sabine Roller

An isogeometric b-rep mortar-based mapping method for non-matching grids in fluid-structure interaction

In this study the isogeometric B-Rep mortar-based mapping method for geometry models stemming directly from Computer-Aided Design (CAD) is systematically augmented and applied to partitioned Fluid-Structure Inter...

Authors: Andreas Apostolatos, Altuğ Emiroğlu, Shahrokh Shayegan, Fabien Péan, Kai-Uwe Bletzinger and Roland Wüchner

3D B-Rep meshing for real-time data-based geometric parametric analysis

This paper presents an effective framework to automatically construct 3D quadrilateral meshes of complicated geometry and arbitrary topology adapted for parametric studies. The input is a triangulation of the ...

Authors: Tristan Maquart, Thomas Elguedj, Anthony Gravouil and Michel Rochette

GPU-friendly data structures for real time simulation

Simulators for virtual surgery training need to perform complex calculations very quickly to provide realistic haptic and visual interactions with a user. The complexity is further increased by the addition of...

Authors: Vincent Magnoux and Benoît Ozell

A new boundary element algorithm for modeling and simulation of nonlinear thermal stresses in micropolar FGA composites with temperature-dependent properties

The 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) compos...

Authors: Mohamed Abdelsabour Fahmy

A cut finite element method for spatially resolved energy metabolism models in complex neuro-cell morphologies with minimal remeshing

A thorough understanding of brain metabolism is essential to tackle neurodegenerative diseases. Astrocytes are glial cells which play an important metabolic role by supplying neurons with energy. In addition, ...

Authors: Sofia Farina, Susanne Claus, Jack S. Hale, Alexander Skupin and Stéphane P. A. Bordas

Real-time data assimilation and control on mechanical systems under uncertainties

This research work deals with the implementation of so-called Dynamic Data-Driven Application Systems (DDDAS) in structural mechanics activities. It aims at designing a real-time numerical feedback loop betwee...

Authors: Paul-Baptiste Rubio, Ludovic Chamoin and François Louf

Goal oriented error estimation in multi-scale shell element finite element problems

A major challenge with modern aircraft design is the occurrence of structural features of varied length scales. Structural stiffness can be accurately represented using homogenisation, however aspects such as ...

Authors: Matthew S. Bonney, Richard Evans, James Rouse, Arthur Jones, Pierre Kerfriden and Maxime Hamadi

Sequential data assimilation for mechanical systems with complex image data: application to tagged-MRI in cardiac mechanics

Tagged Magnetic Resonance images (tagged-MRI) are generally considered to be the gold standard of medical imaging in cardiology. By imaging spatially-modulated magnetizations of the deforming tissue, indeed, t...

Authors: Alexandre Imperiale, Dominique Chapelle and Philippe Moireau

Symmetry analysis and equivalence transformations for the construction and reduction of constitutive models

A methodology based on Lie analysis is proposed to investigate the mechanical behavior of materials exhibiting experimental master curves. It is based on the idea that the mechanical response of materials is a...

Authors: J. F. Ganghoffer, R. Rahouadj and A. Cheviakov

Bayesian stochastic multi-scale analysis via energy considerations

Multi-scale processes governed on each scale by separate principles for evolution or equilibrium are coupled by matching the stored energy and dissipation in line with the Hill-Mandel principle. We are interes...

Authors: Muhammad S. Sarfaraz, Bojana V. Rosić, Hermann G. Matthies and Adnan Ibrahimbegović

Finite cell method for functionally graded materials based on V-models and homogenized microstructures

This paper proposes an extension of the finite cell method (FCM) to V-rep models, a novel geometric framework for volumetric representations. This combination of an embedded domain approach (FCM) and a new mod...

Authors: Benjamin Wassermann, Nina Korshunova, Stefan Kollmannsberger, Ernst Rank and Gershon Elber

A flexible framework for sequential estimation of model parameters in computational hemodynamics

A major challenge in constructing three dimensional patient specific hemodynamic models is the calibration of model parameters to match patient data on flow, pressure, wall motion, etc. acquired in the clinic....

Authors: Christopher J. Arthurs, Nan Xiao, Philippe Moireau, Tobias Schaeffter and C. Alberto Figueroa

Phase-inherent linear visco-elasticity model for infinitesimal deformations in the multiphase-field context

A linear visco-elasticity ansatz for the multiphase-field method is introduced in the form of a Maxwell-Wiechert model. The implementation follows the idea of solving the mechanical jump conditions in the diff...

Authors: Felix K. Schwab, Andreas Reiter, Christoph Herrmann, Daniel Schneider and Britta Nestler

Parasitic resistance as a predictor of faulty anodes in electro galvanizing: a comparison of machine learning, physical and hybrid models

In industrial electro galvanizing lines aged anodes deteriorate zinc coating distribution over the strip width, leading to an increase in electricity and zinc cost. We introduce a data-driven approach in predi...

Authors: Mario Lovrić, Richard Meister, Thomas Steck, Leon Fadljević, Johann Gerdenitsch, Stefan Schuster, Lukas Schiefermüller, Stefanie Lindstaedt and Roman Kern

Application of an iterative Golub-Kahan algorithm to structural mechanics problems with multi-point constraints

Kinematic relationships between degrees of freedom, also named multi-point constraints, are frequently used in structural mechanics. In this paper, the Craig variant of the Golub-Kahan bidiagonalization algori...

Authors: Carola Kruse, Vincent Darrigrand, Nicolas Tardieu, Mario Arioli and Ulrich Rüde

A firefly algorithm based hybrid method for structural topology optimization

In this paper, a firefly algorithm based hybrid algorithm through retaining global convergence of firefly algorithm and ability to generate connected topologies of optimality criteria (OC) method is proposed a...

Authors: Hailu Shimels Gebremedhen, Dereje Engida Woldemichael and Fakhruldin Mohd Hashim

Constrained multi-fidelity surrogate framework using Bayesian optimization with non-intrusive reduced-order basis

This article addresses the problem of constrained derivative-free optimization in a multi-fidelity (or variable-complexity) framework using Bayesian optimization techniques. It is assumed that the objective an...

Authors: Hanane Khatouri, Tariq Benamara, Piotr Breitkopf, Jean Demange and Paul Feliot

Error estimation and adaptivity for PGD based on complementary solutions applied to a simple 1D problem

Reduced order methods are powerful tools for the design and analysis of sophisticated systems, reducing computational costs and speeding up the development process. Among these reduced order methods, the Prope...

Authors: Jonatha Reis, José Paulo Moitinho de Almeida, Pedro Díez and Sergio Zlotnik

Parametric models analysed with linear maps

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 t...

Authors: Hermann G. Matthies and Roger Ohayon

Enhancing CFD predictions in shape design problems by model and parameter space reduction

In this work we present an advanced computational pipeline for the approximation and prediction of the lift coefficient of a parametrized airfoil profile. The non-intrusive reduced order method is based on dyn...

Authors: Marco Tezzele, Nicola Demo, Giovanni Stabile, Andrea Mola and Gianluigi Rozza

\({\text {FE}}^r\) method with surrogate localization model for hyperelastic composite materials

This study presents a method for constructing a surrogate localization model for a periodic microstructure, or equivalently, a unit cell, to efficiently perform micro-macro coupled analyses of hyperelastic com...

Authors: Ryo Hatano, Seishiro Matsubara, Shuji Moriguchi, Kenjiro Terada and Julien Yvonnet

Fully convolutional networks for structural health monitoring through multivariate time series classification

We propose a novel approach to structural health monitoring (SHM), aiming at the automatic identification of damage-sensitive features from data acquired through pervasive sensor systems. Damage detection and ...

Authors: Luca Rosafalco, Andrea Manzoni, Stefano Mariani and Alberto Corigliano

Meta-modeling of a simulation chain for urban air quality

Urban air quality simulation is an important tool to understand the impacts of air pollution. However, the simulations are often computationally expensive, and require extensive data on pollutant sources. Data...

Authors: J. K. Hammond, R. Chen and V. Mallet

Remarks on mixed-integer formulations for hyper-reduction schemes in nonlinear dynamics

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 c...

Authors: Pierre Phalippou, Piotr Breitkopf, Salim Bouabdallah, Malek Zarroug and Pierre Villon

Computational homogenization of transient chemo-mechanical processes based on a variational minimization principle

We present a variational framework for the computational homogenization of chemo-mechanical processes of soft porous materials. The multiscale variational framework is based on a minimization principle with de...

Authors: Elten Polukhov and Marc-André Keip

Correction to: Enhanced numerical integration scheme based on image-compression techniques: application to fictitious domain methods

An amendment to this paper has been published and can be accessed via the original article.

Authors: Márton Petö, Fabian Duvigneau and Sascha Eisenträger

Geometrically exact planar Euler-Bernoulli beam and time integration procedure for multibody dynamics

A new formulation of geometrically exact planar Euler-Bernoulli beam in multi-body dynamics is proposed. For many applications, the use of the Euler-Bernoulli model is sufficient and has the advantage of being...

Authors: Carlo Sansour, Tien Long Nguyen, Mohammed Hjiaj and Sophy Chhang

On the use of neural networks to evaluate performances of shell models for composites

This paper presents a novel methodology to assess the accuracy of shell finite elements via neural networks. The proposed framework exploits the synergies among three well-established methods, namely, the Carr...

Authors: Marco Petrolo and Erasmo Carrera

A specialised finite element for simulating self-healing quasi-brittle materials

A new specialised finite element for simulating the cracking and healing behaviour of quasi-brittle materials is presented. The element employs a strong discontinuity approach to represent displacement jumps a...

Authors: Brubeck L. Freeman, Pedro Bonilla-Villalba, Iulia C. Mihai, Waled F. Alnaas and Anthony D. Jefferson

Measuring acceleration fields via regularized digital image correlation

Digital image correlation (DIC) is a full-field measurement technique. In instantaneous approaches (i.e., registering two images), DIC only gives access to displacement (or velocity) fields. Consequently, acce...

Authors: Corentin Le Gourriérec, Stéphane Roux and François Hild

Efficient structural reliability analysis by using a PGD model in an adaptive importance sampling schema

Authors: Annika Robens-Radermacher and Jörg F. Unger