Material Geometry: Groupoids In Continuum Mechanics

READABOOK BY ALKEM Verified independent store

→

This 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 fur ther 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 material and discover new properties of uniformity and homogeneity that certain material bodies can possess, thus opening a new area in the discipline. Format: HardcoverNo of Pages: 228Imprint: World ScientificPublication date: 20210429 Show more