Articles

Erratum to: Identification of nonlinear behavior with clustering techniques in car crash simulations for better model reduction

Authors: Dennis Grunert and Jörg Fehr

Reduced order modeling for transient simulation of power systems using trajectory piece-wise linear approximation

This paper concerns the application of reduced order modeling techniques to power grid simulation. Swing dynamics is a complex non-linear phenomenon due to which model order reduction of these problems is intr...

Authors: Muhammad Haris Malik, Domenico Borzacchiello, Francisco Chinesta and Pedro Diez

Static fracture and modal analysis simulation of a gas turbine compressor blade and bladed disk system

This paper presents a methodology for conducting a 3-D static fracture analysis with applications to a gas turbine compressor blade. An open crack model is considered in the study and crack-tip driving paramet...

Authors: Ralston Fernandes, Sami El-Borgi, Khaled Ahmed, Michael I. Friswell and Nidhal Jamia

Displacement-based multiscale modeling of fiber-reinforced composites by means of proper orthogonal decomposition

Many applications are based on the use of materials with heterogeneous microstructure. Prominent examples are fiber-reinforced composites, multi-phase steels or soft tissue to name only a few. The modeling of ...

Authors: Annika Radermacher, Brett A. Bednarcyk, Bertram Stier, Jaan Simon, Lei Zhou and Stefanie Reese

Coupled domain decomposition–proper orthogonal decomposition methods for the simulation of quasi-brittle fracture processes

In this paper, we discuss a strategy to reduce the computational costs of the simulation of dynamic fracture processes in quasi-brittle materials, based on a combination of domain decomposition (DD) and model ...

Authors: Alberto Corigliano, Federica Confalonieri, Martino Dossi and Stefano Mariani

Introducing the Logarithmic finite element method: a geometrically exact planar Bernoulli beam element

We propose a novel finite element formulation that significantly reduces the number of degrees of freedom necessary to obtain reasonably accurate approximations of the low-frequency component of the deformatio...

Authors: Christian Schröppel and Jens Wackerfuß

Numerical investigation of dynamic brittle fracture via gradient damage models

Gradient damage models can be acknowledged as a unified framework of dynamic brittle fracture. As a phase-field approach to fracture, they are gaining popularity over the last few years in the computational me...

Authors: Tianyi Li, Jean-Jacques Marigo, Daniel Guilbaud and Serguei Potapov

Finite element formulations for large strain anisotropic material with inextensible fibers

Anisotropic material with inextensible fibers introduce constraints in the mathematical formulations. This is always the case when fibers with high stiffness in a certain direction are present and a relatively...

Authors: P. Wriggers, J. Schröder and F. Auricchio

Parameter estimation via conditional expectation: a Bayesian inversion

When a mathematical or computational model is used to analyse some system, it is usual that some parameters resp. functions or fields in the model are not known, and hence uncertain. These parametric quantitie...

Authors: Hermann G. Matthies, Elmar Zander, Bojana V. Rosić and Alexander Litvinenko

Vademecum-based approach to multi-scale topological material design

The work deals on computational design of structural materials by resorting to computational homogenization and topological optimization techniques. The goal is then to minimize the structural (macro-scale) co...

Authors: A. Ferrer, J. Oliver, J. C. Cante and O. Lloberas-Valls

An unstructured immersed finite element method for nonlinear solid mechanics

We present an immersed finite element technique for boundary-value and interface problems from nonlinear solid mechanics. Its key features are the implicit representation of domain boundaries and interfaces, t...

Authors: Thomas Rüberg, Fehmi Cirak and José Manuel García Aznar

Isogeometric analysis-based reduced order modelling for incompressible linear viscous flows in parametrized shapes

In this work we provide a combination of isogeometric analysis with reduced order modelling techniques, based on proper orthogonal decomposition, to guarantee computational reduction for the numerical model, a...

Authors: Filippo Salmoiraghi, Francesco Ballarin, Luca Heltai and Gianluigi Rozza

Identification of nonlinear behavior with clustering techniques in car crash simulations for better model reduction

Car crash simulations need a lot of computation time. Model reduction can be applied in order to gain time-savings. Due to the highly nonlinear nature of a crash, an automatic separation in parts behaving line...

Authors: Dennis Grunert and Jörg Fehr

Three-dimensional finite element modeling of ductile crack initiation and propagation

A crack initiation and propagation algorithm driven by non-local ductile damage is proposed in a three-dimensional finite strain framework. The evolution of plastic strain and stress triaxiality govern a non-l...

Authors: H. R. Javani, R. H. J. Peerlings and M. G. D. Geers

Synergies between the constitutive relation error concept and PGD model reduction for simplified V&V procedures

The paper deals with the constitutive relation error (CRE) concept which has been widely used over the last 40 years for verification and validation of computational mechanics models. It more specifically focu...

Authors: Ludovic Chamoin, Pierre-Eric Allier and Basile Marchand

Toward 4D mechanical correlation

The goal of the present study is to illustrate the full integration of sensor and imaging data into numerical procedures for the purpose of identification of constitutive laws and their validation. The feasibi...

Authors: François Hild, Amine Bouterf, Ludovic Chamoin, Hugo Leclerc, Florent Mathieu, Jan Neggers, Florent Pled, Zvonimir Tomičević and Stéphane Roux

On the computation of plate assemblies using realistic 3D joint model: a non-intrusive approach

Most large engineering structures are described as assemblies of plates and shells and they are computed as such using adhoc Finite Element packages. In fact their computation in 3D would be much too costly. In t...

Authors: Guillaume Guguin, Olivier Allix, Pierre Gosselet and Stéphane Guinard

Hyper-reduction framework for model calibration in plasticity-induced fatigue

Many mechanical experiments in plasticity-induced fatigue are prepared by the recourse to finite element simulations. Usual simulation outputs, like local stress estimations or lifetime predictions, are useful...

Authors: David Ryckelynck and Djamel Missoum Benziane

Finite increment calculus (FIC): a framework for deriving enhanced computational methods in mechanics

In this paper we present an overview of the possibilities of the finite increment calculus (FIC) approach for deriving computational methods in mechanics with improved numerical properties for stability and ac...

Authors: Oñate Eugenio

An efficient quasi-optimal space-time PGD application to frictional contact mechanics

The proper generalized decomposition (PGD) aims at finding the solution of a generic problems into a low rank approximation. On the contrary to the singular value decomposition (SVD), such a low rank approxima...

Authors: Anthony Giacoma, David Dureisseix and Anthony Gravouil

On the issue that Finite Element discretizations violate, nodally, Clausius’s postulate of the second law of thermodynamics

Discretization processes leading to numerical schemes sometimes produce undesirable effects. One potentially serious problem is that a discretization may produce the loss of validity of some of the physical pr...

Authors: Alejandro Limache and Sergio Idelsohn

Transient simulation of an electrical rotating machine achieved through model order reduction

Model order reduction (MOR) methods are more and more applied on many different fields of physics in order to reduce the number of unknowns and thus the computational time of large-scale systems. However, thei...

Authors: Laurent Montier, Thomas Henneron, Stéphane Clénet and Benjamin Goursaud

Dynamic data-driven model reduction: adapting reduced models from incomplete data

This work presents a data-driven online adaptive model reduction approach for systems that undergo dynamic changes. Classical model reduction constructs a reduced model of a large-scale system in an offline ph...

Authors: Benjamin Peherstorfer and Karen Willcox

Numerical simulation of solid deformation driven by creeping flow using an immersed finite element method

An immersed finite element method for solid–fluid interaction is presented with application focus on highly deformable elastic bodies in a Stokes flow environment. The method is based on a global balance equat...

Authors: Thomas Rüberg and José Manuel Garcí Aznar

Efficient solvers for time-dependent problems: a review of IMEX, LATIN, PARAEXP and PARAREAL algorithms for heat-type problems with potential use of approximate exponential integrators and reduced-order models

In this paper, we introduce and comment some recent efficient solvers for time dependent partial differential or ordinary differential problems, considering both linear and nonlinear cases. Here “efficient” ma...

Authors: Florian De Vuyst

Recursive POD expansion for reaction-diffusion equation

This paper focuses on the low-dimensional representation of multivariate functions. We study a recursive POD representation, based upon the use of the power iterate algorithm to recursively expand the modes re...

Authors: M. Azaïez, F. Ben Belgacem and T. Chacón Rebollo

General treatment of essential boundary conditions in reduced order models for non-linear problems

Inhomogeneous essential boundary conditions must be carefully treated in the formulation of Reduced Order Models (ROMs) for non-linear problems. In order to investigate this issue, two methods are analysed: on...

Authors: Alejandro Cosimo, Alberto Cardona and Sergio Idelsohn

PEBL-ROM: Projection-error based local reduced-order models

Projection-based model order reduction (MOR) using local subspaces is becoming an increasingly important topic in the context of the fast simulation of complex nonlinear models. Most approaches rely on multipl...

Authors: David Amsallem and Bernard Haasdonk

A hybrid RNN-GPOD surrogate model for real-time settlement predictions in mechanised tunnelling

Realistic 3D simulations of the tunnelling process are increasingly required to investigate the interactions between machine-driven tunnel construction and the surrounding soil in order to provide reliable est...

Authors: Ba-Trung Cao, Steffen Freitag and Günther Meschke

On the use of model order reduction for simulating automated fibre placement processes

Automated fibre placement (AFP) is an incipient manufacturing process for composite structures. Despite its conceptual simplicity it involves many complexities related to the necessity of melting the thermopla...

Authors: Nicolas Bur, Pierre Joyot, Chady Ghnatios, Pierre Villon, Elías Cueto and Francisco Chinesta

Numerical study of the square-root conformation tensor formulation for confined and free-surface viscoelastic fluid flows

We present a numerical study of a stabilization method for computing confined and free-surface flows of highly elastic viscoelastic fluids. In this approach, the constitutive equation based on the conformation...

Authors: Irineu L. Palhares Junior, Cassio M. Oishi, Alexandre M. Afonso, Manuel A. Alves and Fernando T. Pinho

Robust model reduction by \(L^{1}\)-norm minimization and approximation via dictionaries: application to nonlinear hyperbolic problems

We propose a novel model reduction approach for the approximation of non linear hyperbolic equations in the scalar and the system cases. The approach relies on an offline computation of a dictionary of solutio...

Authors: Rémi Abgrall, David Amsallem and Roxana Crisovan

Modeling cell adhesion and proliferation: a cellular-automata based approach

Cell adhesion is a process that involves the interaction between the cell membrane and another surface, either a cell or a substrate. Unlike experimental tests, computer models can simulate processes and study...

Authors: J. Vivas, D. Garzón-Alvarado and M. Cerrolaza

Towards a pancreatic surgery simulator based on model order reduction

In this work a pancreatic surgery simulator is developed that provides the user with haptic feedback. The simulator is based on the use of model order reduction techniques, particularly Proper Generalized Deco...

Authors: Andrés Mena, David Bel, Icíar Alfaro, David González, Elías Cueto and Francisco Chinesta

An error estimator for real-time simulators based on model order reduction

Model order reduction is one of the most appealing choices for real-time simulation of non-linear solids. In this work a method is presented in which real time performance is achieved by means of the off-line ...

Authors: Icíar Alfaro, David González, Sergio Zlotnik, Pedro Díez, Elías Cueto and Francisco Chinesta

Extended modelling of dislocation transport-formulation and finite element implementation

In the past decade, several higher-order crystal plasticity models have been developed to properly capture size effects, dislocation pile-up and patterning. Here we consider a formulation which accounts for th...

Authors: Michael M. W. Dogge, Ron H. J. Peerlings and Marc G. D. Geers

Effect of the separated approximation of input data in the accuracy of the resulting PGD solution

The proper generalized decomposition (PGD) requires separability of the input data (e.g. physical properties, source term, boundary conditions, initial state). In many cases the input data is not expressed in ...

Authors: Sergio Zlotnik, Pedro Díez, David Gonzalez, Elías Cueto and Antonio Huerta

3D numerical models using a fluid or a solid formulation of FSW processes with a non-cylindrical pin

Friction stir welding process is a relatively recent welding process (patented in 1991). FSW is a solid-state joining process during which materials to be joined are not melted. During the FSW process, the beh...

Authors: Philippe Bussetta, Narges Dialami, Michele Chiumenti, Carlos Agelet de Saracibar, Miguel Cervera, Romain Boman and Jean-Philippe Ponthot

ASTER Shell: a simple concept to significantly increase the plastic buckling strength of short cylinders subjected to combined external pressure and axial compression

This paper proposes a new type of shell, similar to a cylindrical shell, which has significantly higher buckling strength when subjected to an arbitrary combination of uniform external pressure and axial compr...

Authors: Alain Combescure and Jean-Francois Jullien

Space–time adaptive hierarchical model reduction for parabolic equations

Surrogate solutions and surrogate models for complex problems in many fields of science and engineering represent an important recent research line towards the construction of the best trade-off between modeli...

Authors: Simona Perotto and Alessandro Zilio

High order cut finite element methods for the Stokes problem

We develop a high order cut finite element method for the Stokes problem based on general inf-sup stable finite element spaces. We focus in particular on composite meshes consisting of one mesh that overlaps a...

Authors: August Johansson, Mats G. Larson and Anders Logg

On the multi-scale description of electrical conducting suspensions involving perfectly dispersed rods

Nanocomposites allow for a significant enhancement of functional properties, in particular electrical conduction. In order to optimize materials and parts, predictive models are required to evaluate particle d...

Authors: Marta Perez, Emmanuelle Abisset-Chavanne, Anais Barasinski, Francisco Chinesta, Amine Ammar and Roland Keunings

Adaptive surrogate modeling for response surface approximations with application to bayesian inference

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 s...

Authors: Serge Prudhomme and Corey M. Bryant

Effect of reinforcement volume fraction and orientation on a hybrid tissue engineered aortic heart valve with a tubular leaflet design

Transcatheter aortic valve implantation of fibrin-based tissue engineered heart valves with a tubular leaflet construct have been developed as an alternative to invasive traditional surgical heart valve implan...

Authors: Scott E Stapleton, Ricardo Moreira, Stefan Jockenhoevel, Petra Mela and Stefanie Reese

Analysis of the two-dimensional polydisperse liquid sprays in a laminar boundary layer flow using the similarity transformation method

In this paper we analyze the model that describes the evaporation process of multi-size (polydisperse) of fuel droplets in a laminar boundary layer flow. The spray is described using a probability density func...

Authors: Ophir Nave

The role of cell lysis and matrix deposition in tumor growth modeling

The multiphase model for tumor growth, proposed by the authors in previous works, is here enhanced. The original model includes a solid phase, the extracellular matrix (ECM) and three fluid phases: living and...

Authors: R Santagiuliana, C Stigliano, P Mascheroni, M Ferrari, P Decuzzi and B A Schrefler

Comparison between thick level set (TLS) and cohesive zone models

Two main families of methods exist to model failure of quasi-brittle structures. The first one consists on crack based models, like cohesive zone models. The second one is a continuum damage approach that lead...

Authors: Andrés Parrilla Gómez, Nicolas Moës and Claude Stolz

Proper Generalized Decomposition computational methods on a benchmark problem: introducing a new strategy based on Constitutive Relation Error minimization

First, the effectivity of classical Proper Generalized Decomposition (PGD) computational methods is analyzed on a one dimensional transient diffusion benchmark problem, with a moving load. Classical PGD method...

Authors: Pierre-Eric Allier, Ludovic Chamoin and Pierre Ladevèze

The inequality level-set approach to handle contact: membrane case

Contact mechanics involves models governed by inequality constraints. Even for the simplest contact problem, inequalities arise from the lack of information on the contact zone position. In addition to increa...

Authors: Matthieu Graveleau, Nicolas Chevaugeon and Nicolas Moës

An upwind least square formulation for free surfaces calculation of viscoplastic steady-state metal forming problems

Despite using very large parallel computers, numerical simulation of some forming processes such as multi-pass rolling, extrusion or wire drawing, need long computation time due to the very large number of tim...

Authors: Ugo Ripert, Lionel Fourment and Jean-Loup Chenot