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Stochastic elasticity = a nondetermi...

Mihai, L. Angela.

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Stochastic elasticity = a nondeterministic approach to the nonlinear field theory /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Stochastic elasticity/ by L. Angela Mihai.
Reminder of title:	a nondeterministic approach to the nonlinear field theory /
Author:	Mihai, L. Angela.
Published:	Cham :Springer International Publishing : : 2022.,
Description:	xvii, 275 p. :ill. (chiefly color), digital ;24 cm.
[NT 15003449]:	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.
Contained By:	Springer Nature eBook
Subject:	Elasticity - Mathematical models. -
Online resource:	https://doi.org/10.1007/978-3-031-06692-4
ISBN:	9783031066924

Stochastic elasticity = a nondeterministic approach to the nonlinear field theory /
Mihai, L. Angela.

Stochastic elasticitya nondeterministic approach to the nonlinear field theory /[electronic resource] :by L. Angela Mihai. - Cham :Springer International Publishing :2022. - xvii, 275 p. :ill. (chiefly color), digital ;24 cm. - Interdisciplinary applied mathematics,v. 552196-9973 ;. - Interdisciplinary applied mathematics ;v. 55..

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.

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.

ISBN: 9783031066924

Standard No.: 10.1007/978-3-031-06692-4doiSubjects--Topical Terms:

1050652
Elasticity
--Mathematical models.

LC Class. No.: QA931

Dewey Class. No.: 531.3820151922

Stochastic elasticity = a nondeterministic approach to the nonlinear field theory /
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520 $a 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.
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