Articles

A non-invasive node-based form finding approach with discretization-independent target configuration

Form finding is used to optimize the shape of a semi-finished product, i.e. the material configuration in a forming process. The geometry of the semi-finished product is adapted so that the computed spatial co...

Authors: Michael Caspari, Philipp Landkammer and Paul Steinmann

On the use of reduced integration in combination with discontinuous Galerkin discretization: application to volumetric and shear locking problems

In the present work, the discontinuous Galerkin (DG) method is applied to linear elasticity for two-dimensional and three-dimensional settings. A locking-free element formulation based on reduced integration a...

Authors: Hamid Reza Bayat, Stephan Wulfinghoff, Steffen Kastian and Stefanie Reese

Simulation of impacts on elastic–viscoplastic solids with the flux-difference splitting finite volume method applied to non-uniform quadrilateral meshes

The flux-difference splitting finite volume method (Leveque in J Comput Phys 131:327–353, 1997; Leveque in Finite volume methods for hyperbolic problems. Cambridge: Cambridge University Press, 2002) is here emplo...

Authors: Thomas Heuzé

Recent advancements on the phase field approach to brittle fracture for heterogeneous materials and structures

Recent advancements on the variational approach to fracture for the prediction of complex crack patterns in heterogeneous materials and composite structures is herein proposed, as a result of the frontier rese...

Authors: V. Carollo, T. Guillén-Hernández, J. Reinoso and M. Paggi

FFT-based interface decohesion modelling by a nonlocal interphase

In this paper, two nonlocal approaches to incorporate interface damage in fast Fourier transform (FFT) based spectral methods are analysed. In FFT based methods, the discretisation is generally non-conforming ...

Authors: Luv Sharma, Ron H. J. Peerlings, Pratheek Shanthraj, Franz Roters and Marc G. D. Geers

CutIGA with basis function removal

We consider a cut isogeometric method, where the boundary of the domain is allowed to cut through the background mesh in an arbitrary fashion for a second order elliptic model problem. In order to stabilize th...

Authors: Daniel Elfverson, Mats G. Larson and Karl Larsson

A computational approach for thermo-elasto-plastic frictional contact based on a monolithic formulation using non-smooth nonlinear complementarity functions

A new monolithic solution scheme for thermo-elasto-plasticity and thermo-elasto-plastic frictional contact with finite deformations and finite strains is presented. A key feature is the reformulation of all in...

Authors: Alexander Seitz, Wolfgang A. Wall and Alexander Popp

Non-invasive global–local coupling as a Schwarz domain decomposition method: acceleration and generalization

The non-invasive global–local coupling algorithm is revisited and shown to realize a simple implementation of the optimized non-overlapping Schwarz domain decomposition method. This connection is used to propo...

Authors: Pierre Gosselet, Maxime Blanchard, Olivier Allix and Guillaume Guguin

Space–time POD based computational vademecums for parametric studies: application to thermo-mechanical problems

Standard numerical simulations for optimization or inverse identification of welding processes remain costly and difficult due to their multi-parametric aspect and inherent complexity. The aim of this paper is...

Authors: Y. Lu, N. Blal and A. Gravouil

A hierarchical non-intrusive algorithm for the generalized finite element method

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 method...

Authors: Travis B. Fillmore and C. Armando Duarte

Multiscale analysis of complex aeronautical structures using robust non-intrusive coupling

The multiscale analysis of large composite aeronautical structures involves the development of robust coupling strategies. Among the latter, non-intrusive coupling is attractive, since it is able to consistent...

Authors: Stéphane Guinard, Robin Bouclier, Mateus Toniolli and Jean-Charles Passieux

Convergence study of the h-adaptive PUM and the hp-adaptive FEM applied to eigenvalue problems in quantum mechanics

In this paper the h-adaptive partition-of-unity method and the h- and hp-adaptive finite element method are applied to eigenvalue problems arising in quantum mechanics, namely, the Schrödinger equation with Coulo...

Authors: Denis Davydov, Tymofiy Gerasimov, Jean-Paul Pelteret and Paul Steinmann

On the construction of approximation space to model discontinuities and cracks with linear and quadratic extended finite elements

This paper presents a robust enrichment strategy to model weak and strong discontinuities as well as cracks for industrial applications. First, numerical issues encountered with popular extended finite element...

Authors: M. Ndeffo, P. Massin, N. Moës, A. Martin and S. Gopalakrishnan

Enhanced features of a constitutive equation gap identification method for heterogeneous elastoplastic behaviours

To identify mechanical properties in heterogeneous materials, the local stress fields have to be estimated. The recent developments in imaging techniques allow reaching precise and spatially dense kinematic fi...

Authors: T. Madani, Y. Monerie, S. Pagano, C. Pelissou and B. Wattrisse

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

In the publication of this article [1], there was an error in some equations.

Authors: Andrés Parrilla Gómez, Nicolas Moës and Claude Stolz

Finite-strain three-dimensional solids with rotational degrees of freedom: non-linear statics and dynamics

In this paper we seek refined yet efficient computational models of large overall motion in statics and dynamics. The efficiency is achieved by the proposed model of 8-node brick element with rotational degree...

Authors: Abir Boujelben and Adnan Ibrahimbegovic

Mesh refitting approach: a simple method to model mixed-mode crack propagation in nonlinear elastic solids

We devise a finite element methodology to trace quasi-static through-thickness crack paths in nonlinear elastic solids. The main feature of the proposed method is that it can be directly implemented into exist...

Authors: Y. Sudhakar and Wolfgang A. Wall

A Simulation App based on reduced order modeling for manufacturing optimization of composite outlet guide vanes

Composites manufacturing processes usually involve multiscale models in both space and time, highly non-linear and anisotropic behaviors, strongly coupled multiphysics and complex geometries. In this framework...

Authors: Jose Vicente Aguado, Domenico Borzacchiello, Chady Ghnatios, François Lebel, Ram Upadhyay, Christophe Binetruy and Francisco Chinesta

Multi-level hp-adaptivity and explicit error estimation

Recently, a multi-level hp-version of the finite element method (FEM) was proposed to ease the difficulties of treating hanging nodes, while providing full hp-approximation capabilities. In the original paper, th...

Authors: Davide D’Angella, Nils Zander, Stefan Kollmannsberger, Felix Frischmann, Ernst Rank, Andreas Schröder and Alessandro Reali

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