L. Angela Mihai: Stochastic Elasticity

Cover: 9783031066917 | Stochastic Elasticity | L. Angela Mihai | Buch | xvii | Englisch

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Sprache: Englisch

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Beschreibung

Stochastic elasticity is a fast developing field that combines nonlinear elasticity and stochastic theories in order to significantly improve model predictions by accounting for uncertainties in the mechanical responses of materials. However, in contrast to the tremendous development of computational methods for large-scale problems, which have been proposed and implemented extensively in recent years, at the fundamental level, there is very little understanding of the uncertainties in the behaviour of elastic materials under large strains.

Based on the idea that every large-scale problem starts as a small-scale data problem, this book combines fundamental aspects of finite (large-strain) elasticity and probability theories, which are prerequisites for the quantification of uncertainties in the elastic responses of soft materials.

The problems treated in this book are drawn from the analytical continuum mechanics literature and incorporate random variablesas basic concepts along with mechanical stresses and strains. Such problems are interesting in their own right but they are also meant to inspire further thinking about how stochastic extensions can be formulated before they can be applied to more complex physical systems.

Zusammenfassung

Consolidates many important concepts from a variety of sources

Covers classical topics and more advanced research topics

Includes an extensive and up-to-date list of references on advanced nonlinear elasticity

Inhaltsverzeichnis

1 Introduction.- 2 Finite elasticity as prior information.- 3 Are elastic materials like gambling machines?.- 4 Elastic instabilities.- 5 Oscillatory motions.- 6 Liquid crystal elastomers.- 7 Conclusion.- Appendix A Notation.- Appendix B Fundamental concepts.- Bibliography.- Index.

Details

Erscheinungsjahr:	2022
Fachbereich:	Wahrscheinlichkeitstheorie
Genre:	Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Inhalt:	xvii 275 S. 4 s/w Illustr. 90 farbige Illustr. 275 p. 94 illus. 90 illus. in color.
ISBN-13:	9783031066917
ISBN-10:	303106691X
Sprache:	Englisch
Einband:	Gebunden
Autor:	Mihai, L. Angela
Auflage:	1st edition 2022
Hersteller:	Springer Nature Switzerland Springer International Publishing
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	241 x 160 x 22 mm
Von/Mit:	L. Angela Mihai
Erscheinungsdatum:	03.09.2022
Gewicht:	0,612 kg