Continuum approaches applied to discrete periodic media

30 Mar 2024
Job Information

Organisation/Company

Université de Bretagne Sud, Université de l'Aquila (Italie)

Research Field

Engineering
Mathematics

Researcher Profile

Recognised Researcher (R2)
Leading Researcher (R4)
First Stage Researcher (R1)
Established Researcher (R3)

Country

France

Application Deadline

25 Apr 2024 - 22:00 (UTC)

Type of Contract

Temporary

Job Status

Full-time

Offer Starting Date

2 Sep 2024

Is the job funded through the EU Research Framework Programme?

Not funded by an EU programme

Is the Job related to staff position within a Research Infrastructure?

No

Offer Description

Objectives : This research project focuses on the behavior of discrete elastic media (or lattice elastic media), using the mechanics of nonlocal or generalized continuous media. It has already been shown that one-dimensional lattices such as discrete strings, bars or beams can be equivalently modelled by one-dimensional non-local or enriched models. The two or three-dimensional generalization of such lattice-based nonlocal or enriched continua modelling is much more recent, and has mainly focused on the behavior of microstructured plates or even three-dimensional simple lattices. The non-local or gradient-type laws that emerge from a continualization procedure of such 2D or 3D lattices may be used for the analysis of the stability and the vibration of these so-called microstructured systems. Surprising results may emerge for these discrete systems, that cannot be captured by simple continuous media.

 

Expectations : This research has applications in all areas of engineering sciences (including applied physics, mechanical or civil engineering) concerned with the paradigm of changes of scale. For nanotechnology applications, the study of nanoscale structures requires the introduction of consistent structural models, that include interatomic scale effects. More generally, a multi-scale structural analysis driven by the behavior of constituent materials at both the micro and the macro scale requires the formulation of specific laws, that make the material and the structure interact through a non-local correspondence.

 

 

 

Key words

Lattice; Beam theory; Plate theory; Nonlocal elasticity; Asymptotic methods; Scale effects; Shear effects; Microstructured theories

 

Funding category: Contrat doctoral
Financement de l'Université de l'Aquila (Italie)
PHD Country: France

Requirements
Specific Requirements

Le candidat francophone et anglophone devra être à l’aise dans les méthodes mathématiques de modélisation des structures, approches variationnelles et un goût marqué pour le calcul analytique. Les modèles développés seront évalués dans un contexte statique et dynamique.

Une formation approfondie de master recherche en génie civil, mécanique théorique ou mathématiques appliquées serait appréciée. Un goût prononcé pour l’abstraction pourrait faciliter l’élaboration des modèles envisagés.

Additional Information
Work Location(s)

Number of offers available

1

Company/Institute

Université de Bretagne Sud, Université de l'Aquila (Italie)

Country

Italy

City

L'Aquila

Geofield

Where to apply

Website

https://www.abg.asso.fr/fr/candidatOffres/show/id_offre/122031

Contact

Website

https://www.irdl.fr/

STATUS: EXPIRED