León, Manuel deEpstein, MarceloJiménez Morales, Víctor Manuel2024-05-202024-05-202018ISSN (print): 0219-8878 | ISSN (online): 1793-6977https://doi.org/10.1142/S0219887818300039https://hdl.handle.net/20.500.14468/12551A Lie groupoid, called second-order non-holonomic material Lie groupoid, is associated in a natural way to any Cosserat medium. This groupoid is used to give a new definition of homogeneity which does not depend on a material archetype. The corresponding Lie algebroid, called second-order non-holonomic material Lie algebroid, is used to characterize the homogeneity property of the material. We also relate these results with the previously obtained ones in terms of non-holonomic second-order G¯¯¯¯ -structures.enAtribución-NoComercial-SinDerivadas 4.0 Internacionalinfo:eu-repo/semantics/openAccessartículoHamilton–Jacoby theoryconstraint algorithmsingular Lagrangian systempresymplectic geometry