Format:
1 Online-Ressource (XVII, 275 Seiten)
,
Illustrationen
ISBN:
9783031066924
Series Statement:
Interdisciplinary Applied Mathematics Volume55
Content:
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.
Content:
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 variables as 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.
Additional Edition:
ISBN 9783031066917
Additional Edition:
ISBN 9783031066931
Additional Edition:
ISBN 9783031066948
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9783031066917
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9783031066931
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9783031066948
Language:
English
DOI:
10.1007/978-3-031-06692-4
Bookmarklink
