Material Geometry: Groupoids In Continuum Mechanics

Author:   Manuel De Leon (Consejo Superior De Investigaciones Cientificas, Spain) ,  Marcelo Epstein (Univ Of Calgary, Canada) ,  Victor Manuel Jimenez (Univ De Alcala (Uah), Spain)
Publisher:   World Scientific Publishing Co Pte Ltd
ISBN:  

9789811232541


Pages:   228
Publication Date:   10 May 2021
Format:   Hardback
Availability:   In Print   Availability explained
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Material Geometry: Groupoids In Continuum Mechanics


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Overview

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.

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Author:   Manuel De Leon (Consejo Superior De Investigaciones Cientificas, Spain) ,  Marcelo Epstein (Univ Of Calgary, Canada) ,  Victor Manuel Jimenez (Univ De Alcala (Uah), Spain)
Publisher:   World Scientific Publishing Co Pte Ltd
Imprint:   World Scientific Publishing Co Pte Ltd
ISBN:  

9789811232541


ISBN 10:   9811232547
Pages:   228
Publication Date:   10 May 2021
Audience:   College/higher education ,  Professional and scholarly ,  Tertiary & Higher Education ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

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