Articles

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

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

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

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