Material Geometry: Groupoids in Continuum Mechanics (Hardcover) (ISBN-13: 9789811232541)

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 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.

Author: Manuel de Leon, Marcelo Epstein, Victor Manuel Jimenez
ISBN-10: 9811232547
ISBN-13: 9789811232541
Publisher: World Scientific Publishing Company
Language: English
Published: 05/10/2021
Pages: 228
Format: Hardcover
Weight: 1.04lbs
Size: 9.00h x 6.00w x 0.56d