3 papers
math-ph2026
Geometric theory of generalised continua using moving frames
Boris Kolev, Cl{é}ment Ecker
Generalised continuum theories couple the macroscopic deformation and the micro-/meso-scopic deformation of an underlying micro-structure. They can account for internal length-scal…
gr-qc2025
Relativistic second gradient theory of continuous media
Mina Chapon, Lionel Darondeau, Rodrigue Desmorat +2
Variational Relativity is a framework developed by Souriau in the sixties to better formulate General Relativity and its classical limit\,: Classical Continuum Mechanics. It has be…
math-ph2024
The Haar measure in solid mechanics
Clément Ecker, Boris Kolev
This article addresses the overlooked but crucial role of the Haar measure in solid mechanics, a concept well-established in mathematical literature but frequently misunderstood by…