# The mathematical design of new materials

Created: | 2019-01-14 09:21 |
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Institution: | Isaac Newton Institute for Mathematical Sciences |

Editors' group: | Members of "Isaac Newton Institute for Mathematical Sciences". |

Description: | Programme
3rd January 2019 to 28th June 2019 Organisers: Arghir Zarnescu BCAM - Basque Center for Applied Mathematics, Institute of Mathematics of the Romanian Academy Xian Chen Hong Kong University of Science and Technology Miha Ravnik University of Ljubljana, Jozef Stefan Institute Valeriy Slastikov University of Bristol 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. |

# Media items

This collection contains 100 media items.

### Media items

#### Collective coordinates, asymptotics and domain wall dynamics in ferromagnets

12 views

Robbins, J

Wednesday 30th January 2019 - 17:00 to 18:00

**Collection**:
The mathematical design of new materials

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Tue 5 Feb 2019

#### Explicit integral representations of the relaxation of non-local energies for structured deformations

21 views

Matias, J

Wednesday 19th June 2019 - 15:10 to 15:50

**Collection**:
The mathematical design of new materials

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Wed 26 Jun 2019

#### Mathematical Modeling and Numerical Analysis for Incommensurate 2D Materials - 4

6 views

Luskin, M

Wednesday 27th March 2019 - 09:00 to 10:00

**Collection**:
The mathematical design of new materials

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Wed 27 Mar 2019

#### A homogenization result in the gradient theory of phase transitions

10 views

Fonseca, I

Wednesday 17th April 2019 - 15:30 to 16:30

**Collection**:
The mathematical design of new materials

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Wed 24 Apr 2019

#### A moving mask hypothesis to select physically relevant microstructures

20 views

Della Porta, F

Tuesday 15th January 2019 - 09:45 to 10:30

**Collection**:
The mathematical design of new materials

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Wed 16 Jan 2019

#### A touch of non-linearity: mesoscale swimmers and active matter in fluids

10 views

Klotsa, D

Wednesday 15th May 2019 - 09:40 to 10:20

**Collection**:
The mathematical design of new materials

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Thu 16 May 2019

#### Active and architectured sheets: From nematic elastomers to rigidly-foldable origami

78 views

Plucinsky, P

14 March 2019

16.00-17.00

**Collection**:
The mathematical design of new materials

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Fri 12 Apr 2019

#### Advances in interatomic potentials for metals and alloys

151 views

Csányi, G

13 March 2019

11.00-12.00

**Collection**:
The mathematical design of new materials

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Fri 12 Apr 2019

#### Asymptotics of Landau-de Gennes theory

18 views

Robbins, J

Monday 14th January 2019 - 11:00 to 11:45

**Collection**:
The mathematical design of new materials

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Tue 15 Jan 2019

#### Attractive and Repulse Interactions in Dense Nematics

22 views

Palffy-Muhoray, P

Monday 14th January 2019 - 09:45 to 10:30

**Collection**:
The mathematical design of new materials

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Tue 15 Jan 2019

#### Building and optimising finite-time adiabatic processes in stochastic thermodynamics

47 views

Prados, A

Friday 17th May 2019 - 11:50 to 12:10

**Collection**:
The mathematical design of new materials

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Fri 17 May 2019

#### Charging of neutral solutes in water

13 views

Bonthuis, D

Friday 17th May 2019 - 11:10 to 11:50

**Collection**:
The mathematical design of new materials

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Fri 17 May 2019

#### Construction of two dimensional convex shapes from their excluded volumes

16 views

Taylor, J

Monday 14th January 2019 - 15:15 to 16:00

**Collection**:
The mathematical design of new materials

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Tue 15 Jan 2019

#### Contact Topology and the Cholesteric Landscape

7 views

Machon, T

Monday 13th May 2019 - 10:20 to 10:40

**Collection**:
The mathematical design of new materials

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Tue 14 May 2019

#### Data-driven approach for indexing-free X-ray crystallography

8 views

Chen, X

13 March 2019

09.30-10.30

**Collection**:
The mathematical design of new materials

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Fri 12 Apr 2019

#### Defect loops in 3D active nematics

20 views

Beller, D

Monday 14th January 2019 - 16:15 to 17:00

**Collection**:
The mathematical design of new materials

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Wed 30 Jan 2019

#### Defects of Liquid Crystals

31 views

Zhang, P

Wednesday 16th January 2019 - 09:45 to 10:30

**Collection**:
The mathematical design of new materials

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Wed 16 Jan 2019

#### Deformation avalanches in crystalline materials: some experimental, empirical, and modelling results

6 views

Zanzotto, G

15 March 2019

12.00-13.00

**Collection**:
The mathematical design of new materials

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Fri 12 Apr 2019

#### Derivation of 3D line tension models for dislocations from geometrically nonlinear models

5 views

Garroni, A

14 March 2019

09.30-10.30

**Collection**:
The mathematical design of new materials

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Fri 12 Apr 2019

#### Design of effective bulk potentials for nematic liquid crystals via homogenisation

20 views

Canevari, G

Monday 14th January 2019 - 14:30 to 15:15

**Collection**:
The mathematical design of new materials

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Tue 15 Jan 2019