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Mardi 2 octobre 2018 / LMA

publié le

Séminaire LMA

A geometrical approach to continuum mechanics

Orateur : Ilya Peshkov
Institut de Mathématiques de Toulouse Université Paul Sabatier

Abstract : We discuss a geometrical approach to continuum mechanics and demonstrate that solids and fluids can be described from a unified geometrical standpoint. The principal field of the theory is the distortion field which can be seen as the non-holonomic basis triad and describes the deformation and rotation of material elements. Such triads account for the rotation degree of freedom which can be associated with the rotation degree of freedom of the microstructure. We then discuss how such a theory can be used to model turbulent flows and dispersive solid media which exhibits non-dissipative energy exchange between different scales. Some numerical examples will be demonstrated.

Date et lieu : le mardi 2 octobre 2018 à 11h00, amphithéâtre du LMA