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INRIA - Intership - ELAN- Study of knitted fabric through experiments and simulations
Description
Internship L3 or Master 1 or 2 - Required level: BAC +3, 4 ou 5
Who we are?
Inria is the French national research institute dedicated to digital science and technology. Worldclass research, technological innovation and entrepreneurial risk are its DNA. Its 215 agile project teams, most of which are joint with academic partners, involve more than 3,900 scientists in
tackling the challenges of digital technology, often at the interface with other disciplines.
https://inria.fr/fr
Inria is headquartered in Rocquencourt and has 9 research centres.
Inria Grenoble is active in the fields of high-performance computing, verification and embedded
systems, modeling of the environment at multiple levels, and data science and artificial intelligence. The center is a top-level scientific institute with an extensive network of international collaborations in Europe and the rest of the world.
Context:
Although it is made of almost inextensible yarns, knitted fabric exhibits an extremely stretchable mechanical behaviour, a highly desirable property in meta-material engineering. Furthermore, knitted fabric makes is possible to design arbitrarily shaped objects, either in 2D or 3D, with a predictable mechanical response. For these reasons, knitted fabric has recently gained a renewed and growing interest from industry and various fields of science – from physics to computer graphics. In physics, Poincloux and colleagues [6] have recently studied experimentally the tensile response of a model tricot in order to characterise relevant ingredients explaining the macroscopic mechanical behavior of knitted yarns, and started to derive a reduced
continuum model.
In graphics, complex simulations of 3D knitted fabric have been set-up for more than a decade [4, 5, 2],
relying on a discrete element strategy where yarns and contacts between yarns are explicitly modelled. Only recently, a numerically homogenised model has been presented [7], which simulates knitted fabric as a thin elastic shell with a modified constitutive law fitted from simulated data.
Although impressive, all these simulations have however never been validated against experiments, and the very role of friction has never been investigated.
Objective of the internship:
The goal of the project is to develop numerical models for the study of knitted fabric. The internship will be dedicated to the discrete element modelling of a model tricot, its validation against experiments, and the careful study of the role of friction. The project will involve collaborations with physicists to develop and validate both models.
Assignment:
Depending on the duration of the internship and the profil of the intern, several tasks will be envisioned:
1/ build the geometry of an elementary knitted patch, with various topologies 2/simulate the physics of the patch
3/ analyse the results and develop a theoretical model,
4/ participate in lab experiments and validation.
Simulations will be performed using the softwares developed in the ELAN team for thin elastic rods and frictional contact. Lab experiments will be performed in the experimental platform of the team.
Profile and Skills:
Good skills in numerical analysis (modelling, numerical discretisation of ODEs and PDEs, finite elements, optimisation) as well as in algorithmics and programmation (C/C++, Python) are required.
Curiosity and taste for applications in mechanics, physics and computer graphics would be appreciated. Experimental skills are a plus.
Useful link: https://team.inria.fr/elan/
Additional information:
- Périod: Flexible (starting from March, April, or May)
- Duration: Flexible (from 2 to 6 months) - Location: Centre Inria de l’Université Grenoble Alpes
- Contact to Apply: florence.descoubes@inria.fr, victor.romerogramegna@inria.fr,
deb39@drexel.edu
References:
[1] F. Bertails, B. Audoly, M.-P. Cani, B. Querleux, F. Leroy, and J.-L. Lévêque. Superhelices
for predicting the dynamics of natural hair. ACM Transactions on Graphics (Proc.ACM SIGGRAPH’06), 25:1180–1187, 2006.
[2] Gabriel Cirio, Jorge Lopez-Moreno, David Miraut, and Miguel A. Otaduy. Yarn-level simulation of woven cloth. ACM Trans. Graph., 33(6), November 2014.
[3] G. Daviet, F. Bertails-Descoubes, and L. Boissieux. A hybrid iterative solver for robustly capturing Coulomb friction in hair dynamics. ACM Transactions on Graphics (Proc. ACM SIGGRAPH Asia’11), 30:139:1–139:12, 2011.
[4] J. Kaldor, D. James, and S. Marschner. Simulating knitted cloth at the yarn level. In ACM Transactions on Graphics (Proc. ACM SIGGRAPH’08, pages 1–9, New York, NY, USA, 2008. ACM.
[5] J. Kaldor, D. James, and S. Marschner. Efficient yarn-based cloth with adaptive contact linearization. In ACM Transactions on Graphics (Proc. ACM SIGGRAPH’10, volume 29, pages 105:1–105:10, New York, NY, USA, July 2010. ACM.
[6] Samuel Poincloux, Mokhtar Adda-Bedia, and Frédéric Lechenault. Geometry and elasticity of a knitted fabric. Phys. Rev. X, 8:021075, Jun 2018.
[7] Georg Sperl, Rahul Narain, and Chris Wojtan. Homogenized yarn-level cloth. ACM Transactions on Graphics (TOG), 39(4), 2020.
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1
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