PhD Position F/M Geometric Design of Auxetic Metamaterials

September 25, 2022
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2022-05315 - PhD Position F/M Geometric Design of Auxetic Metamaterials

Contract type : Fixed-term contract

Level of qualifications required : Graduate degree or equivalent

Fonction : PhD Position

About the research centre or Inria department

The Inria Grenoble - Rhône-Alpes research center groups together almost 600 people in 22 research teams and 7 research support departments.

Staff is present on three campuses in Grenoble, in close collaboration with other research and higher education institutions (Université Grenoble Alpes, CNRS, CEA, INRAE, …), but also with key economic players in the area.

Inria Grenoble - Rhône-Alpes 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.


Within the framework of a collaboration between three Computer Graphics INRIA teams in Grenoble (MAVERICK, ANIMA) and Nancy (MFX), and the european project ADAM2, the goal is to develop research works on the design of auxetic metamaterials.

Recent advances in digital fabrication and material science raise thrilling new research challenges in computer science with applications to product design, architecture, medicine, and art. One of them relies on the fact that 3D printing technologies, coming along with increasing computational capabilities, nowadays allow to realize more complex geometries and even control the deformation behavior.

An example are metamaterials that gain their extraordinary properties from rationally designed geometric structures rather than their constituting material. Metamaterials enable obtaining exotic mechanical properties from common materials by tailoring the small-scale geometry.


In this Ph.D. thesis, we focus on a class of metamaterials, called auxetics ‎1. Auxetic materials have a counter-intuitive deformation behavior: instead of becoming thinner when stretched, they become thicker. Auxetic materials are known to exhibit properties important in applications as diverse as biomedical engineering, aerospace industry, or protective sports gear, among others.

We are researchers from three Computer Graphics team, that have developed complementary approaches for generating 2D planar auxetic networks, either by pruning a dense network ‎6, or by conducting a parametric growth process ‎3‎45. This Ph.D. thesis aims to extend our previous results for constructing 3D structures and porous surfaces with tailored mechanical behavior, with an emphasis on auxeticity. Optimization of shape parameters and numerical simulations are part of the project in order to test and optimize the elastic response of the developed geometric structures. An existing numerical simulation code developed in ‎6 will have to be extended to 3D. Great care will be taken to control the mechanical properties' directional characteristics rigorously. Once the new structure (metamaterial) is computed, it can be used as a mesoscale structure and fill a 3D geometric object with it.

1 Auxetic mechanical metamaterials, H. Kolken, A. Zadpoor, RSC Advances, 7 (9), 5111-5129, 2017 2 Fabrication and testing of auxetic foams for rehabilitation applications, V.C. Vinay, D.M. Varma, J. Indian Inst Sci 99, 2019 3 Random Auxetic Porous Materials from Parametric Growth Processes, Jonàs Martínez, Computer-Aided Design, Elsevier, 139, 202, 2021 4 Star-shaped metrics for mechanical metamaterial design, Jonàs Martínez, Mélina Skouras, Christian Schumacher, Samuel Hornus, Sylvain Lefebvre, and Bernhard Thomaszewski. ACM Trans. Graph. 38(4), 2019 5 3D periodic cellular materials with tailored symmetry and implicit grading, Semyon Efremov, Jonàs Martínez Sylvain Lefebvre. CAD 140, (2021) 6 Geometric construction of auxetic metamaterials. Georges-Pierre Bonneau, Stefanie Hahmann, Johana Marku. (Eurographics 2021), Computer Graphics Forum 40 (2), pp.291-303, 2021

Main activities

This is a PhD offer. The candidate will

  • study the state of the art,
  • develop original research ideas,
  • implement and validate the new results,
  • write and submit research papers,
  • write a PhD manuscript and defend the PhD.
  • Skills

    We are looking for a student with a combined math-informatics profile interested in geometric algorithms, data structures, and graphical programming. The candidate should have a good knowledge of geometric modeling or computational geometry and good skills in numerical methods, algorithmics and programming (C/C++, Python).

    Benefits package
  • Subsidized meals
  • Partial reimbursement of public transport costs
  • Leave: 7 weeks of annual leave + 10 extra days off due to RTT (statutory reduction in working hours) + possibility of exceptional leave (sick children, moving home, etc.)
  • Possibility of teleworking (90 days / year) and flexible organization of working hours
  • Professional equipment available (videoconferencing, loan of computer equipment, etc.)
  • Social, cultural and sports events and activities
  • Access to vocational training
  • Social security coverage under conditions
  • Remuneration

    1st and 2nd year: 2051 euros gross salary /month

    3rd year: 2 158 euros gross salary / month

    General Information
  • Theme/Domain : Interaction and visualization Scientific computing (BAP E)

  • Town/city : Montbonnot

  • Inria Center : CRI Grenoble - Rhône-Alpes
  • Starting date : 2022-10-01
  • Duration of contract : 3 years
  • Deadline to apply : 2022-09-25
  • Contacts
  • Inria Team : MAVERICK
  • PhD Supervisor : Bonneau Georges-pierre /
  • The keys to success

    Curiosity and enthusiasm are essential for a successful PhD. The ability to work efficiently under pressure when submitting a paper to a top conference or journal is also key.

    About Inria

    Inria is the French national research institute dedicated to digital science and technology. It employs 2,600 people. Its 200 agile project teams, generally run jointly with academic partners, include more than 3,500 scientists and engineers working to meet the challenges of digital technology, often at the interface with other disciplines. The Institute also employs numerous talents in over forty different professions. 900 research support staff contribute to the preparation and development of scientific and entrepreneurial projects that have a worldwide impact.

    Instruction to apply

    CV, cover letter and Master's grades are expected. A letter of recommendation will be appreciated.

    Defence Security : This position is likely to be situated in a restricted area (ZRR), as defined in Decree No. 2011-1425 relating to the protection of national scientific and technical potential (PPST).Authorisation to enter an area is granted by the director of the unit, following a favourable Ministerial decision, as defined in the decree of 3 July 2012 relating to the PPST. An unfavourable Ministerial decision in respect of a position situated in a ZRR would result in the cancellation of the appointment.

    Recruitment Policy : As part of its diversity policy, all Inria positions are accessible to people with disabilities.

    Warning : you must enter your e-mail address in order to save your application to Inria. Applications must be submitted online on the Inria website. Processing of applications sent from other channels is not guaranteed.

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