Articles

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

Non-intrusive proper generalized decomposition involving space and parameters: application to the mechanical modeling of 3D woven fabrics

In our former works we proposed different Model Order Reduction strategies for alleviating the complexity of computational simulations. In fact we proved that separated representations are specially appealing ...

Authors: Angel Leon, Sebastien Mueller, Patrick de Luca, Rajab Said, Jean-Louis Duval and Francisco Chinesta

Applications of SPDM in aircraft structural analysis at Embraer

Aircraft structural analysis is a process that involves several engineers working concurrently to analyze in detail all structural elements of an airframe, as well as the behavior of the aircraft structure as ...

Authors: Rodrigo Britto Maria, Marcus de Freitas Leal, Edgard Sousa Junior, Vinicius Leite Lemos, Patrick Magalhães Cardoso, Leonardo Cosme de Oliveira, Saullo Giovani Pereira Castro, Marcelo de Lima Marcolin and Darshan Joshi

A minimally-intrusive fully 3D separated plate formulation in computational structural mechanics

Most of mechanical systems and complex structures exhibit plate and shell components. Therefore, 2D simulation, based on plate and shell theory, appears as an appealing choice in structural analysis as it allo...

Authors: Giacomo Quaranta, Mustapha Ziane, Eberhard Haug, Jean-Louis Duval and Francisco Chinesta

Reduced-order modelling of parametric systems via interpolation of heterogeneous surrogates

This paper studies parametric reduced-order modeling via the interpolation of linear multiple-input multiple-output reduced-order, or, more general, surrogate models in the frequency domain. It shows that real...

Authors: Yao Yue, Lihong Feng and Peter Benner

An extension of assumed stress finite elements to a general hyperelastic framework

Assumed stress finite elements are known for their extraordinary good performance in the framework of linear elasticity. In this contribution we propose a mixed variational formulation of the Hellinger–Reissne...

Authors: Nils Viebahn, Jörg Schröder and Peter Wriggers

Evaluation of shear and membrane locking in refined hierarchical shell finite elements for laminated structures

Shear and membrane locking phenomena are fundamental issues of shell finite element models. A family of refined shell elements for laminated structures has been developed in the framework of Carrera Unified Fo...

Authors: Guohong Li, Erasmo Carrera, Maria Cinefra, Alberto G. de Miguel, Gennady M. Kulikov, Alfonso Pagani and Enrico Zappino

Modeling of cylindrical composite shell structures based on the Reissner’s Mixed Variational Theorem with a variable separation method

This work deals with the modeling of laminated composite and sandwich shells through a variable separation approach based on a Reissner’s Variational Mixed Theorem (RMVT). Both the displacement and transverse ...

Authors: Philippe Vidal, Olivier Polit, Laurent Gallimard and Michele D’Ottavio

Thermodynamic properties of muscle contraction models and associated discrete-time principles

Considering a large class of muscle contraction models accounting for actin–myosin interaction, we present a mathematical setting in which solution properties can be established, including fundamental thermody...

Authors: François Kimmig, Dominique Chapelle and Philippe Moireau

Some robust integrators for large time dynamics

This article reviews some integrators particularly suitable for the numerical resolution of differential equations on a large time interval. Symplectic integrators are presented. Their stability on exponential...

Authors: Dina Razafindralandy, Vladimir Salnikov, Aziz Hamdouni and Ahmad Deeb

Best theory diagrams for multilayered structures via shell finite elements

Composite structures are convenient structural solutions for many engineering fields, but their design is challenging and may lead to oversizing due to the significant amount of uncertainties concerning the cu...

Authors: Marco Petrolo and Erasmo Carrera

Some comparisons and analyses of time or space discontinuous Galerkin methods applied to elastic wave propagation in anisotropic and heterogeneous media

This research work presents some comparisons and analyses of the time discontinuous space–time Galerkin method and the space discontinuous Galerkin method applied to elastic wave propagation in anisotropic and...

Authors: Bing Tie

Benchmark cases for robust explicit time integrators in non-smooth transient dynamics

This article introduces benchmark cases for time integrators devoted to non-smooth impact dynamics. It focuses on numerical properties of explicit integrators. Each case tests one necessary numerical property ...

Authors: Jean Di Stasio, David Dureisseix, Anthony Gravouil, Gabriel Georges and Thomas Homolle

On the coupling of local 3D solutions and global 2D shell theory in structural mechanics

Most of mechanical systems and complex structures exhibit plate and shell components. Therefore, 2D simulation, based on plate and shell theory, appears as an appealing choice in structural analysis as it allo...

Authors: Giacomo Quaranta, Mustapha Ziane, Fatima Daim, Emmanuelle Abisset-Chavanne, Jean-Louis Duval and Francisco Chinesta

Explicit Verlet time-integration for a Nitsche-based approximation of elastodynamic contact problems

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. T...

Authors: Franz Chouly and Yves Renard

A conservative penalisation strategy for the semi-implicit time discretisation of the incompressible elastodynamics equation

The principal aim of this work is to provide an adapted numerical scheme for the approximation of elastic wave propagation in incompressible solids. We rely on high-order conforming finite element with mass lu...

Authors: Federica Caforio and Sébastien Imperiale

Partitioned simulation strategies for fluid–structure–control interaction problems by Gauss–Seidel formulations

In this contribution the multi-physics problem of fluid–structure–control interaction (FSCI) is solved by an iterative, partitioned approach utilizing Gauss–Seidel formulations. The aim is to conduct a fully c...

Authors: Andreas Winterstein, Christopher Lerch, Kai-Uwe Bletzinger and Roland Wüchner

Reduced order models for thermally coupled low Mach flows

In this paper we present a collection of techniques used to formulate a projection-based reduced order model (ROM) for zero Mach limit thermally coupled Navier–Stokes equations. The formulation derives from a ...

Authors: Ricardo Reyes, Ramon Codina, Joan Baiges and Sergio Idelsohn

Correction to: Reduced order model of flows by time-scaling interpolation of DNS data

The original version of the article [1] unfortunately contained an error in the figure.

Authors: Tapan K. Sengupta, Lucas Lestandi, S. I. Haider, Atchyut Gullapalli and Mejdi Azaïez

Reduced order model of flows by time-scaling interpolation of DNS data

A new reduced order model (ROM) is proposed here for reconstructing super-critical flow past circular cylinder and lid driven cavity using time-scaling of vorticity data directly. The present approach is a sig...

Authors: Tapan K. Sengupta, Lucas Lestandi, S. I. Haider, Atchyut Gullapalli and Mejdi Azaïez

Dimension reduction in heterogeneous parametric spaces with application to naval engineering shape design problems

We present the results of the first application in the naval architecture field of a methodology based on active subspaces properties for parameter space reduction. The physical problem considered is the one o...

Authors: Marco Tezzele, Filippo Salmoiraghi, Andrea Mola and Gianluigi Rozza

CARPIUC benchmark overview: crack advance, reorientation, propagation and initiation under complex loadings

A series of experiments has been performed to build a benchmark for the numerical modeling of mixed mode crack propagation in concrete. Two tests are selected so that the propagation is almost always stable al...

Authors: Andreea Carpiuc, Martin Poncelet, Julien Réthoré and Stéphane Roux