Articles

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

An approach to hydraulic fracture in geomaterials through a porous brittle damage material model

A coupled hydromechanical code based on a distributed brittle damage material model has been developed in order to simulate hydraulic fracturing processes. As specific feature, the code does not assume the dev...

Authors: Gianluca Caramiello, Andrea Montanino, Gabriele Della Vecchia and Anna Pandolfi

Spacetime simulation of dynamic fracture with crack closure and frictional sliding

We combine the asynchronous spacetime discontinuous Galerkin (aSDG) method, an interfacial-damage fracture model, and a dynamic contact model to simulate dynamic fracture and crack closure in brittle materials...

Authors: Reza Abedi and Robert B. Haber

A robust algorithm for implicit description of immersed geometries within a background mesh

The paper presents a robust algorithm, which allows to implicitly describe and track immersed geometries within a background mesh. The background mesh is assumed to be unstructured and discretized by tetrahedr...

Authors: Daniel Baumgärtner, Johannes Wolf, Riccardo Rossi, Pooyan Dadvand and Roland Wüchner

Large scale random fields generation using localized Karhunen–Loève expansion

In this paper the generation of random fields when the domain is much larger than the characteristic correlation length is made using an adaptation of the Karhunen–Loève expansion (KLE). The KLE requires the c...

Authors: Alfonso M. Panunzio, Régis Cottereau and Guillaume Puel

Realization of CAD-integrated shell simulation based on isogeometric B-Rep analysis

An entire design-through-analysis workflow solution for isogeometric B-Rep analysis (IBRA), including both the interface to existing CADs and the analysis procedure, is presented. Possible approaches are elabo...

Authors: T. Teschemacher, A. M. Bauer, T. Oberbichler, M. Breitenberger, R. Rossi, R. Wüchner and K.-U. Bletzinger

Full thermo-mechanical coupling using eXtended finite element method in quasi-transient crack propagation

This work aims to present a complete full coupling eXtended finite element formulation of the thermo-mechanical problem of cracked bodies. The basic concept of the extended finite element method is discussed i...

Authors: Fakhreddine Habib, Luca Sorelli and Mario Fafard

Experimental characterization and constitutive modeling of the non-linear stress–strain behavior of unidirectional carbon–epoxy under high strain rate loading

The mechanical response of IM7-8552 carbon epoxy was investigated for transverse tension and transverse tension/in-plane shear loadings at static and dynamic strain rates using transverse tension and off-axis ...

Authors: Hannes Koerber, Peter Kuhn, Marina Ploeckl, Fermin Otero, Paul-William Gerbaud, Raimund Rolfes and Pedro P. Camanho

A review of some geometric integrators

Some of the most important geometric integrators for both ordinary and partial differential equations are reviewed and illustrated with examples in mechanics. The class of Hamiltonian differential systems is r...

Authors: Dina Razafindralandy, Aziz Hamdouni and Marx Chhay

A simple and unified implementation of phase field and gradient damage models

In this work, the analogous treatment between coupled temperature–displacement problems and material failure models is explored within the context of a commercial software (Abaqus®). The implicit gradient Lema...

Authors: E. Azinpour, J. P. S. Ferreira, M. P. L. Parente and J. Cesar de Sa

A non-intrusive global/local approach applied to phase-field modeling of brittle fracture

This paper aims at investigating the adoption of non-intrusive global/local approaches while modeling fracture by means of the phase-field framework. A successful extension of the non-intrusive global/local ap...

Authors: Tymofiy Gerasimov, Nima Noii, Olivier Allix and Laura De Lorenzis

Multilevel preconditioners for embedded enriched partition of unity approximations

In this paper we are concerned with the non-invasive embedding of enriched partition of unity approximations in classical finite element simulations and the efficient solution of the resulting linear systems. ...

Authors: Marc Alexander Schweitzer and Albert Ziegenhagel

On the effect of the contact surface definition in the Cartesian grid finite element method

The definition of the surface plays an important role in the solution of contact problems, as the evaluation of the contact force is based on the measure of the gap between the solids. In this work three diffe...

Authors: José Manuel Navarro-Jiménez, Manuel Tur, Francisco Javier Fuenmayor and Juan José Ródenas

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