The mathematical design of new materials
DNM
3 January 2019 to 28 June 2019
Programme theme
Above image: "Martensitic Material", an experiment of Tomonari Inamura's group.
Many recent and spectacular advances in the world of materials are related to complex materials having extraordinary and unique features, usually determined by their specific microstructure. Such materials are key to much technology appearing in our daily lives: they are in liquid crystal displays, in miniaturised phones, special steels in cars, plastics and composites in the construction of modern airplanes, in biological implants in human bodies, and so on.
However, despite the impressive technological applications of these materials, the theoretical understanding and modelling of them are still inadequate.The need for models and basic understanding is not just of theoretical interest, but indeed a key requirement for being able to access and further develop the true potential of these materials, to optimise them, to combine them into new materials, and to use them for creating new devices, with predefined abilities and behaviours.
The current programme aims to bring together mathematicians and scientists working in various areas of materials science and applied mathematics in order to initiate a systematic study of the optimal design of new complex materials, focusing on:
1. Topological metamaterials
2. Colloid composites
3. Composite alloys
4. Layered heterostructures
5. Woven or printed materials
6. Structural optimisation
as the distinct existing attempts from engineering, physics and chemistry. Building on the mathematical areas that are directly relevant to the scientific questions of interest, namely, optimisation and calculus of variations, geometry and topology, continuum mechanics and partial differential equations, the programme aims to identify and study the common principles and techniques of optimal material design that apply more broadly.
The Institute kindly requests that any papers published as a result of this programme’s activities are credited as such. Please acknowledge the support of the Institute in your paper using the following text:
The author(s) would like to thank the Isaac Newton Institute for Mathematical Sciences, Cambridge, for support and hospitality during the programme The mathematical design of new materials, where work on this paper was undertaken. This work was supported by EPSRC grant EP/R014604/1.
Click here to download the programme's final scientific report
DNM programme: interview with organisers A Zarnescu, X Chen, V Slastikov and M Ravnik
Preprints
| Title | Year | Programme | Publication Date |
|---|---|---|---|
Power Source Free Analysis of Pyroelectric Energy ConversionAuthors: Xian Chen |
2018 | DNM | 20 October 2022 |
Relaxation of non-local energies for structured deformations with applications to plasticityAuthors: Elvira Zappale, Marco Morandotti, David R Owen |
2018 | DNM | 20 October 2022 |
Power-Source-Free Analysis of Pyroelectric Energy ConversionAuthors: Xian Chen |
2018 | DNM | 20 October 2022 |
MICROMAGNETICS OF THIN FILMS IN THE PRESENCE OF DZYALOSHINSKII–MORIYA INTERACTIONAuthors: Dirk Praetorius, Elisa Davoli, Michele Ruggeri, Giovanni Di Fratta |
2018 | DNM | 30 October 2020 |
THE ROBIN MEAN VALUE EQUATION II: ASYMPTOTIC HOLDER REGULARITYAuthors: Marta Lewicka, Yuval Peres |
2018 | DNM | 13 June 2019 |
Existence results for the Helmholtz equation in periodic wave-guides with energy methodsAuthors: Ben Schweizer |
2018 | DNM | 13 May 2019 |
Workshops
Optimal design of complex materials
14 January 2019 to 18 January 2019
Mathematical Design for Solid Complex Materials
27 February 2019 to 27 February 2019
Mathematical design of new materials - strategies and algorithms for the design of alloys and metamaterials
11 March 2019 to 15 March 2019
Spring school on the mathematical design of materials
25 March 2019 to 29 March 2019
Optimal design of soft matter - including a celebration of Women in Materials Science (WMS)
13 May 2019 to 17 May 2019
New trends and challenges in the mathematics of optimal design
10 June 2019 to 14 June 2019
Seminars
| Wednesday 23rd January 2019 | |||
|---|---|---|---|
| 15:00 to 16:00 |
Friedemann Brock Swansea University |
Room 2 | |
| Wednesday 30th January 2019 | |||
|---|---|---|---|
| 17:00 to 18:00 |
Jonathan Robbins University of Bristol |
Room 2 | 
|
| Wednesday 6th February 2019 | |||
|---|---|---|---|
| 16:00 to 16:40 |
Lech Longa Uniwersytet Jagiellonski |
Room 2 | |
| 16:40 to 17:20 |
Juho Lintuvuori Université de Bordeaux |
Room 2 |
|
| 17:20 to 18:40 |
Nuno Araujo Universidade de Lisboa |
Room 2 |
|
| Wednesday 13th February 2019 | |||
|---|---|---|---|
| 16:00 to 16:40 |
Martin Kruzik Academy of Sciences of the Czech Republic; Czech Technical University |
Room 2 |
|
| 16:40 to 17:20 |
Marco Mazza Max-Planck-Institut für Dynamics and Self-Organisation |
Room 2 |
|
| 17:20 to 18:00 |
Christos Likos Universität Wien |
Room 2 | |
| Wednesday 20th February 2019 | |||
|---|---|---|---|
| 16:00 to 17:00 |
Virginia Agostiniani Università degli Studi di Verona |
Room 2 | |
| 17:00 to 18:00 |
Dorin Bucur Université de Savoie |
Room 2 | |
| Thursday 21st February 2019 | |||
|---|---|---|---|
| 15:00 to 16:00 |
Elvira Zappale Università degli Studi di Salerno |
Room 2 | |
| Tuesday 26th February 2019 | |||
|---|---|---|---|
| 15:00 to 15:45 |
Chris Pickard University of Cambridge |
Room 2 | |
| 15:45 to 16:30 |
Marco Morandotti Politecnico di Torino |
Room 2 | |
| 16:30 to 17:15 |
Kirill Cherednichenko University of Bath |
Room 2 |
|
| Wednesday 6th March 2019 | |||
|---|---|---|---|
| 15:00 to 16:00 |
Ning Jiang Wuhan University |
Room 2 |
|
| 16:00 to 17:00 |
Ben Schweizer Technische Universität Dortmund |
Room 2 | |
| Wednesday 20th March 2019 | |||
|---|---|---|---|
| 15:00 to 16:00 |
Pierluigi Cesana Kyushu University |
Room 2 | |
| 16:00 to 17:00 |
Cyrill Muratov New Jersey Institute of Technology |
Room 2 | |
| Wednesday 3rd April 2019 | |||
|---|---|---|---|
| 14:30 to 15:10 |
Anja Schlömerkemper Julius-Maximilians-Universität Würzburg |
Room 2 | |
| 15:10 to 15:50 |
Jun-ichi Fukuda Kyushu University |
Room 2 | |
| 15:50 to 16:30 |
Claudio Zannoni Università di Bologna |
Room 2 |
|
| Wednesday 17th April 2019 | |||
|---|---|---|---|
| 15:30 to 16:30 |
Irene Fonseca Carnegie Mellon University |
Room 2 |
|
| Wednesday 24th April 2019 | |||
|---|---|---|---|
| 15:00 to 17:00 |
Jeffrey Everts University of Ljubljana |
Room 2 | |
| Wednesday 1st May 2019 | |||
|---|---|---|---|
| 15:00 to 16:00 |
Giovanni Di Fratta Technische Universität Wien |
Room 2 |
|
| 16:00 to 17:00 |
Tomonari Inamura Tokyo Institute of Technology |
Room 2 | |
| Wednesday 8th May 2019 | |||
|---|---|---|---|
| 15:00 to 15:40 |
Bianca Stroffolini Università degli Studi di Napoli Federico II |
Room 2 | |
| 15:40 to 16:20 |
Xavier Lamy Université Paul Sabatier Toulouse III |
Room 2 |
|
| 16:20 to 17:00 |
Davit Harutyunyan University of California, Santa Barbara |
Room 2 |
|
| Friday 10th May 2019 | |||
|---|---|---|---|
| 16:00 to 17:00 |
Irene Fonseca Carnegie Mellon University |
Room 1 |
|
| Tuesday 21st May 2019 | |||
|---|---|---|---|
| 15:00 to 16:00 |
Ibrahim Fatkullin University of Arizona |
Room 2 |
|
| Wednesday 29th May 2019 | |||
|---|---|---|---|
| 16:00 to 17:00 |
Ivan Smalyukh University of Colorado |
Room 2 | |
| Monday 3rd June 2019 | |||
|---|---|---|---|
| 16:00 to 17:00 |
Graeme Milton University of Utah |
Room 1 |
|
| Wednesday 5th June 2019 | |||
|---|---|---|---|
| 14:00 to 15:00 |
Robert Kohn New York University |
Room 2 | |
| 15:00 to 16:00 |
Marta Lewicka University of Pittsburgh |
Room 2 | |
| 16:00 to 17:00 |
Gregoire Allaire École Polytechnique |
Room 2 | |
| Wednesday 19th June 2019 | |||
|---|---|---|---|
| 14:30 to 15:10 |
Dimitrios Tsagkarogiannis None / Other |
Room 2 |
|
| 15:10 to 15:50 |
Jose Matias Instituto Superior Técnico, Lisboa |
Room 2 |
|
| 15:50 to 16:10 |
Jorn Dunkel Massachusetts Institute of Technology |
Room 2 |
|
| Wednesday 26th June 2019 | |||
|---|---|---|---|
| 15:30 to 16:30 |
Elvira Zappale Università degli Studi di Salerno |
Room 2 | |
| Tuesday 15th October 2019 | |||
|---|---|---|---|
| 17:00 to 18:00 |
Jonathan Robbins University of Bristol |
Room 2 | |
Organisers
- Xian Chen Hong Kong University of Science and Technology
- Miha Ravnik University of Ljubljana; Jozef Stefan Institute
- Valeriy Slastikov University of Bristol
- Arghir Zarnescu BCAM - Basque Center for Applied Mathematics; Institute of Mathematics of the Romanian Academy
Speakers
- Virginia Agostiniani Università degli Studi di Verona
- Gregoire Allaire École Polytechnique
- Nuno Araujo Universidade de Lisboa
- Friedemann Brock Swansea University
- Dorin Bucur Université de Savoie
- Pierluigi Cesana Kyushu University
- Kirill Cherednichenko University of Bath
- Giovanni Di Fratta Technische Universität Wien
- Jorn Dunkel Massachusetts Institute of Technology
- Jeffrey Everts University of Ljubljana
- Ibrahim Fatkullin University of Arizona
- Irene Fonseca Carnegie Mellon University
- Jun-ichi Fukuda Kyushu University
- Davit Harutyunyan University of California, Santa Barbara
- Tomonari Inamura Tokyo Institute of Technology
- Ning Jiang Wuhan University
- Robert Kohn New York University
- Martin Kruzik Academy of Sciences of the Czech Republic; Czech Technical University
- Xavier Lamy Université Paul Sabatier Toulouse III
- Marta Lewicka University of Pittsburgh
- Christos Likos Universität Wien
- Juho Lintuvuori Université de Bordeaux
- Lech Longa Uniwersytet Jagiellonski
- Jose Matias Instituto Superior Técnico, Lisboa
- Marco Mazza Max-Planck-Institut für Dynamics and Self-Organisation
- Graeme Milton University of Utah
- Marco Morandotti Politecnico di Torino
- Cyrill Muratov New Jersey Institute of Technology
- Chris Pickard University of Cambridge
- Jonathan Robbins University of Bristol
- Anja Schlömerkemper Julius-Maximilians-Universität Würzburg
- Ben Schweizer Technische Universität Dortmund
- Ivan Smalyukh University of Colorado
- Bianca Stroffolini Università degli Studi di Napoli Federico II
- Dimitrios Tsagkarogiannis None / Other
- Claudio Zannoni Università di Bologna
- Elvira Zappale Università degli Studi di Salerno
Participants
- Dirk Aarts University of Oxford
- Daniele Agostinelli SISSA
- Virginia Agostiniani Università degli Studi di Verona
- Francisco Alarcon Oseguera Universidad Complutense de Madrid
- Gregoire Allaire École Polytechnique
- Nuno Araujo Universidade de Lisboa
- John Ball Heriot-Watt University
- Daniel Beller University of California, Merced
- Anne Bernand-Mantel CNRS (Centre national de la recherche scientifique); Université Grenoble Alpes
- Joseph Betouras Loughborough University
- Friedemann Brock Swansea University
- Cora Brown University of Minnesota
- Dorin Bucur Université de Savoie
- Carme Calderer University of Minnesota
- Giacomo Canevari BCAM - Basque Center for Applied Mathematics
- Mike Cates University of Cambridge
- Pierluigi Cesana Kyushu University
- Razvan Ceuca BCAM - Basque Center for Applied Mathematics
- Xian Chen Hong Kong University of Science and Technology
- Isaac Chenchiah University of Bristol
- Kirill Cherednichenko University of Bath
- In-suk Choi Seoul National University
- Simon Copar University of Ljubljana
- Martin Copic Univerza v Ljubljani; Jozef Stefan Institute
- Francesco De Anna Julius-Maximilians-Universität Würzburg
- Antonio DeSimone SISSA; Scuola Superiore Sant'Anna, Pisa
- Giovanni Di Fratta Technische Universität Wien
- Jayasri Dontabhaktuni Mahindra Ecole Centrale
- Jorn Dunkel Massachusetts Institute of Technology
- Ashley Earls University of Minnesota
- James Eliott University of Cambridge
- Jeffrey Everts University of Ljubljana
- Ibrahim Fatkullin University of Arizona
- Irene Fonseca Carnegie Mellon University
- Daan Frenkel University of Cambridge
- Jun-ichi Fukuda Kyushu University
- Adriana Garroni Università degli Studi di Roma La Sapienza
- Helen Gleeson University of Leeds
- Helena Godinho Universidade Nova de Lisboa (UNL)
- Simon Guest University of Cambridge
- Davit Harutyunyan University of California, Santa Barbara
- Melanie Hassler Medical University of Vienna
- Radu Ignat Université Paul Sabatier Toulouse III
- Tomonari Inamura Tokyo Institute of Technology
- Richard James University of Minnesota
- Ning Jiang Wuhan University
- Randall Kamien University of Pennsylvania
- Georgy Kitavtsev University of Oxford
- Robert Kohn New York University
- Carolin Kreisbeck Universiteit Utrecht
- Martin Kruzik Academy of Sciences of the Czech Republic; Czech Technical University
- Xavier Lamy Université Paul Sabatier Toulouse III
- Marta Lewicka University of Pittsburgh
- Christos Likos Universität Wien
- Juho Lintuvuori Université de Bordeaux
- Tannie Liverpool University of Bristol
- Lech Longa Uniwersytet Jagiellonski
- Tom Lubensky University of Pennsylvania; 5G Innovation Centre
- Mitchell Luskin University of Minnesota
- Davide Marenduzzo University of Edinburgh
- Jose Matias Instituto Superior Técnico, Lisboa
- Elisabetta Matsumoto Georgia Institute of Technology
- Marco Mazza Max-Planck-Institut für Dynamics and Self-Organisation
- Graeme Milton University of Utah
- Marco Morandotti Politecnico di Torino
- Steve Morris University of Oxford
- Urban Mur University of Ljubljana
- Cyrill Muratov New Jersey Institute of Technology
- Daniel Joseph Needleman Harvard University
- Luc Nguyen University of Oxford
- Mikhail Osipov University of Strathclyde
- Felix Otto Max-Planck-Institut für Mathematik, Leipzig
- Peter Palffy-Muhoray Kent State University
- Anja Pusovnik University of Ljubljana
- Miha Ravnik University of Ljubljana; Jozef Stefan Institute
- Tobias Ried Max-Planck-Institut für Mathematik, Leipzig
- Jonathan Robbins University of Bristol
- Michele Ruggeri University of Vienna
- Angkana Ruland Max-Planck-Institut für Mathematik, Leipzig
- Lucia Scardia Heriot-Watt University
- Anja Schlömerkemper Julius-Maximilians-Universität Würzburg
- Ben Schweizer Technische Universität Dortmund
- Thilo Simon New Jersey Institute of Technology
- Valeriy Slastikov University of Bristol
- Ivan Smalyukh University of Colorado
- Bianca Stroffolini Università degli Studi di Napoli Federico II
- Jamie Taylor BCAM - Basque Center for Applied Mathematics
- Margarida Telo da Gama Universidade de Lisboa
- Dimitrios Tsagkarogiannis None / Other
- Chantal Valeriani Universidad Complutense de Madrid
- Dominic Vella University of Oxford
- Mark Warner University of Cambridge
- Mark Wilkinson University of Oxford
- Claudio Zannoni Università di Bologna
- Giovanni Zanzotto Università degli Studi di Padova
- Elvira Zappale Università degli Studi di Salerno
- Arghir Zarnescu BCAM - Basque Center for Applied Mathematics; Institute of Mathematics of the Romanian Academy
- Pingwen Zhang Peking University
- Barbara Zwicknagl Technische Universität Berlin
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