León, Manuel deEpstein, MarceloJiménez Morales, Víctor Manuel2024-05-212024-05-2120219789811232541https://doi.org/10.1142/12168https://hdl.handle.net/20.500.14468/20659This monograph is the first in which the theory of groupoids and algebroids is applied to the study of the properties of uniformity and homogeneity of continuous media. It is a further step in the application of differential geometry to the mechanics of continua, initiated years ago with the introduction of the theory of G-structures, in which the group G denotes the group of material symmetries, to study smoothly uniform materials. The new approach presented in this book goes much further by being much more general. It is not a generalization per se, but rather a natural way of considering the algebraic-geometric structure induced by the so-called material isomorphisms. This approach has allowed us to encompass non-uniform materials and discover new properties of uniformity and homogeneity that certain material bodies can possess, thus opening a new area in the discipline.enAtribución-NoComercial-SinDerivadas 4.0 Internacionalinfo:eu-repo/semantics/closedAccesslibro