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math-ph2026
Modeling phononic band gap in microstructured solids using the Riemann-Cartan geometric framework
Ilya Peshkov, Loïc Le Marrec
This paper discusses the modeling of acoustic wave fields in microstructured elastic solids within the framework of Riemann-Cartan geometry. We consider a scenario in which microst…
math-ph2025
Defects in unidimensional structures
Mewen Crespo, Guy Casale, Loïc Le Marrec +1
In a previous work of the first authors, a non-holonomic model, generalising the micromorphic models and allowing for curvature (disclinations) to arise from the kinematic values,…
math-ph2025
Timoshenko beam under finite and dynamic transformations: Lagrangian coordinates and Hamiltonian structures
Oscar Cosserat, Loïc Le Marrec
In the framework of Timoshenko beam, the material parameters are inherently prescribed on the material moving frame. In this regard, we derive the strong and weak formulations of t…