Articles

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

An improved quadrilateral shell element based on the Hu–Washizu functional

In this paper a robust and effective 4-node shell element for the structural analysis of thin structures is described. A Hu–Washizu functional with independent displacements, stress resultants and shell strain...

Authors: Werner Wagner and Friedrich Gruttmann

Cut Bogner-Fox-Schmit elements for plates

Authors: Erik Burman, Peter Hansbo and Mats G. Larson

Application of machine learning procedures for mechanical system modelling: capabilities and caveats to prediction-accuracy

This 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....

Authors: Thomas Groensfelder, Fabian Giebeler, Marco Geupel, David Schneider and Rebecca Jaeger

Correction to: Reduced integration schemes in micromorphic computational homogenization of elastomeric mechanical metamaterials

Following publication of the original article [1], the authors reported the errors in the equations.

Authors: Ondřej Rokoš, Jan Zeman, Martin Doškář and Petr Krysl

On phase change and latent heat models in metal additive manufacturing process simulation

This work proposes an extension of phase change and latent heat models for the simulation of metal powder bed fusion additive manufacturing processes on the macroscale and compares different models with respec...

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

Cross section shape optimization of wire strands subjected to purely tensile loads using a reduced helical model

This paper introduces a shape optimization of wire strands subjected to tensile loads. The structural analysis relies on a recently developed reduced helical finite element model characterized by an extreme co...

Authors: Francesco Maria Filotto, Falk Runkel and Gerald Kress

A nonintrusive reduced order model for nonlinear transient thermal problems with nonparametrized variability

In this work, we consider a transient thermal problem, with a nonlinear term coming from the radiation boundary condition and a nonparametrized variability in the form complex scenarios for the initial conditi...

Authors: Fabien Casenave, Asven Gariah, Christian Rey and Frederic Feyel

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

In the present work, we propose a new approach, the so-called compressed adaptive integration scheme (C-AIS), for the computation of the stiffness and mass matrices in fictitious domain methods requiring the i...

Authors: Márton Petö, Fabian Duvigneau and Sascha Eisenträger

Measurement of 1–10 Hz 3D vibration modes with a CT-scanner

A new in situ vibration mode measurement method within a tomograph is proposed based on Projection-based Digital Volume Correlation techniques. Several projection angles are selected and a large number of radi...

Authors: Clément Jailin, Thomas Jailin and Stéphane Roux

Reduced integration schemes in micromorphic computational homogenization of elastomeric mechanical metamaterials

Exotic behaviour of mechanical metamaterials often relies on an internal transformation of the underlying microstructure triggered by its local instabilities, rearrangements, and rotations. Depending on the pr...

Authors: Ondřej Rokoš, Jan Zeman, Martin Doškář and Petr Krysl

A mixed-dimensional CutFEM methodology for the simulation of fibre-reinforced composites

We develop a novel unfitted finite element solver for composite materials with quasi-1D fibrous reinforcements. The method belongs to the class of mixed-dimensional non-conforming finite element solvers. The f...

Authors: P. Kerfriden, S. Claus and I. Mihai

Toward new methods for optimization study in automotive industry including recent reduction techniques

In the last years, the automotive engineering industry has been deeply influenced by the use of «machine learning» techniques for new design and innovation purposes. However, some specific engineering aspects ...

Authors: Etienne Gstalter, Sonia Assou, Yves Tourbier and Florian De Vuyst

Model order reduction assisted by deep neural networks (ROM-net)

In this paper, we propose a general framework for projection-based model order reduction assisted by deep neural networks. The proposed methodology, called ROM-net, consists in using deep learning techniques to a...

Authors: Thomas Daniel, Fabien Casenave, Nissrine Akkari and David Ryckelynck

A hybrid interface preconditioner for monolithic fluid–structure interaction solvers

We propose a hybrid interface preconditioner for the monolithic solution of surface-coupled problems. Powerful preconditioning techniques are crucial when it comes to solving large monolithic systems of linear...

Authors: Matthias Mayr, Maximilian H. Noll and Michael W. Gee

Enriched continuum for multi-scale transient diffusion coupled to mechanics

In this article, we present a computationally efficient homogenization technique for linear coupled diffusion–mechanics problems. It considers a linear chemo-mechanical material model at the fine scale, and re...

Authors: Abdullah Waseem, Thomas Heuzé, Laurent Stainier, Marc G. D. Geers and Varvara G. Kouznetsova

How to tell the difference between a model and a digital twin

“When I use a word, it means whatever I want it to mean”: Humpty Dumpty in Alice’s Adventures Through The Looking Glass, Lewis Carroll. “Digital twin” is currently a term applied in a wide variety of ways. Some d...

Authors: Louise Wright and Stuart Davidson

A continuum model for slip transfer at grain boundaries

Using a continuous representation of dislocations in elastoplastic polycrystals, we investigate slip transfer at grain boundaries by assessing the compatibility of the slip system shear rates with tangential c...

Authors: Claude Fressengeas and Manas V. Upadhyay

A benchmark example for delamination growth predictions based on the Single Leg Bending specimen under fatigue loading

Analysis benchmarking is used to evaluate new algorithms for automated VCCT-based delamination growth analysis. First, existing benchmark cases based on the Single Leg Bending (SLB) specimen for crack propagat...

Authors: Ronald Krueger, Lyle Deobald and Haozhong Gu

Microstructure evolution in deformed polycrystals predicted by a diffuse interface Cosserat approach

Formulating appropriate simulation models that capture the microstructure evolution at the mesoscale in metals undergoing thermomechanical treatments is a formidable task. In this work, an approach combining h...

Authors: Anna Ask, Samuel Forest, Benoît Appolaire and Kais Ammar

Improving collapsibility robustness of an EPS-CD by means of simulation and six sigma

Steering columns for column assist Electric Steering are one of the main elements of the passive safety restraint system in a passenger vehicle. It is designed to collapse applying an optimized ride down force...

Authors: Didac Costas Muñoz and Michał Majzel

Particle interspacing effects on the mechanical behavior of a Fe–TiB₂ metal matrix composite using FFT-based mesoscopic field dislocation mechanics

This paper presents an application to metal matrix composites (MMCs) of an enhanced elasto-viscoplastic Fast Fourier Transform (EVP-FFT) formulation coupled with a phenomenological continuum Mesoscale Field Di...

Authors: J. Genée, S. Berbenni, N. Gey, R. A. Lebensohn and F. Bonnet

Statistical analysis of the interaction between irradiation-induced defects and triple junctions

By using a generalized, spatially resolved rate theory, we systematically studied the irradiation-induced diffusion and segregation of point defects near triple junctions. Our model captured not only the forma...

Authors: Patrick Zarnas, Rémi Dingreville, Brittany Muntifering, Khalid Hattar, Brad L. Boyce and Jianmin Qu

Enriched homogenized model for viscoelastic plane wave propagation in periodic layered composites

An enriched homogenized model is developed based on a proposed homogenization strategy, to describe the wave propagation behaviour through periodic layered composites. The intrinsic parameters characterising t...

Authors: Swee Hong Tan and Leong Hien Poh

A thermo-elastoplastic self-consistent homogenization method for inter-granular plasticity with application to thermal ratcheting of TATB

A novel thermo-elastoplastic self-consistent homogenization model for granular materials that exhibit inter-granular plasticity is presented. The model, TEPSCA, is made possible by identifying a new inter-gran...

Authors: Kane C. Bennett, Miroslav Zecevic, Darby J. Luscher and Ricardo A. Lebensohn

Mesh-adapted stress analysis of multilayered plates using a layerwise model

This paper proposes a new finite-element modelling of a recent layerwise model for multilayered plates. This layerwise model is built from a specific 3D stress-field expansion along the thickness direction and...

Authors: Lucille Salha, Jérémy Bleyer, Karam Sab and Joanna Bodgi

Application of artificial neural networks for the prediction of interface mechanics: a study on grain boundary constitutive behavior

Authors: Mauricio Fernández, Shahed Rezaei, Jaber Rezaei Mianroodi, Felix Fritzen and Stefanie Reese