The mathematical design of new materials

The mathematical design of new materials's image
Created: 2019-01-14 09:21
Institution: 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

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Media items

A homogenization result in the gradient theory of phase transitions

   6 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

   13 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


Asymptotics of Landau-de Gennes theory

   13 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

   15 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


Charging of neutral solutes in water

   11 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


Contact Topology and the Cholesteric Landscape

   3 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


Defect loops in 3D active nematics

   16 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

   23 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


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