Articles

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