Morphisme de type fini

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Wave propagation in periodic buckled beams. Part II: Experiments

Alessandro Spadoni, Florian Paul Robert Maurin

Buckled periodic beams possess a geometrically nonlinear, load-deformation relation and intrinsic length scales such that stable, nonlinear waves are possible. In part I of this paper, a model has been derived that predict compressive/rarefaction, superson ...

Elsevier Science Bv2016

A posteriori error estimations for elliptic partial differential equations with small uncertainties

Fabio Nobile, Marco Picasso, Diane Sylvie Guignard

In this article, a finite element error analysis is performed on a class of linear and nonlinear elliptic problems with small uncertain input. Using a perturbation approach, the exact (random) solution is expanded up to a certain order with respect to a pa ...

2016

Grain boundary relaxation in yellow gold bi-crystals

Daniele Mari, Robert Schaller, Iva Tkalcec Vâju, Ann-Kathrin Audren

The mechanical loss spectrum of a yellow gold bi-crystal is presented and analyzed in detail. The relaxation strength is monitored as a function of several geometrical parameters such as sample width, length and thickness. It is found that the relaxation s ...

Elsevier2015

A concurrent atomistic and continuum coupling method with applications to thermo-mechanical problems

Jean-François Molinari, Guillaume Anciaux, Srinivasa Babu Ramisetti

We present a novel method to couple molecular dynamics with finite elements at finite temperatures using spatial filters. The mismatch in the dispersion relations between continuum and atomistic models leads, at finite temperature, to unwanted mesh vibrati ...

Wiley-Blackwell2014

Wave dispersion in periodic post-buckled structures

Alessandro Spadoni, Florian Paul Robert Maurin

Wave propagation in pinned-supported, post-buckled beams can be described with the Korteweg de Vries (KdV) equation. Finite-element simulations however show that the KdV is applicable only to post-buckled beams with strong pre-compression. For weak and mod ...

Elsevier2014

Finite elements in space and time for the analysis of generalised visco-elastic materials

Karen Scrivener, Cyrille Dunant, Alain Benjamin Giorla

Numerical analysis of linear visco-elastic materials requires robust and stable methods to integrate partial differential equations in both space and time. In this paper, symmetric space-time finite element operators are derived for the first time for elem ...

Wiley-Blackwell2014

Incommensurate crystallography without additional dimensions

Philippe Kocian

It is shown that the Euclidean group of translations, when treated as a Lie group, generates translations not only in Euclidean space but on any space, curved or not. Translations are then not necessarily vectors (straight lines); they can be any curve com ...

International Union of Crystallography2013

Room Helps: Acoustic Localization With Finite Elements

Martin Vetterli, Ivan Dokmanic

Acoustic source localization often relies on the free-space/far-field model. Recent work exploiting spatio-temporal sparsity promises to go beyond these scenarios, however, it requires the knowledge of the transfer functions from each possible source locat ...

Ieee2012

Is an irng singly generated as an ideal?

Nicolas Monod

Recall that a rng is a ring which is possibly non-unital. In this note, we address the problem whether every finitely generated idempotent rng (abbreviated as irng) is singly generated as an ideal. It is well-known that it is the case for a commutative irn ...

World Scientific Publishing2012

Algebraic Divisibility Sequences Over Function Fields

Valéry Aurélien Mahé

In this note we study the existence of primes and of primitive divisors in function field analogues of classical divisibility sequences. Under various hypotheses, we prove that Lucas sequences and elliptic divisibility sequences over function fields define ...

Australian Mathematical Society2012

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