Welcome
“Geometric aspects in mathematical modelling” is an interdisciplinary workshop that combines differential geometry, the mechanics of deformable solids, and materials physics to describe and predict the behavior of materials based on their geometric structure. This approach is used to understand how the properties of a material under its mechanical response can be characterized in geometrical terms, and how this characterization can be used to design materials with specific properties.
In this field, advanced mathematical tools such as differential manifolds, Lie groupoids, and differential topology are used to develop models that capture the geometric complexity of materials. These models can address a variety of phenomena, ranging from elasticity and plasticity to fracture and creep of materials.
One of the key advantages of geometric material modelling approaches is their ability to capture and represent the microstructure of materials at different scales, from the atomic scale to the macroscopic scale. This allows researchers to understand how the geometric organization of atoms, grains, and phases affects the macroscopic properties of the material.
This workshop aims to serve as a resource for sharing recent advances in the field, as well as fostering possible applications to a wide range of fields, such as composite materials or biological tissues.