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Stochastic elasticitya nondeterministic approach to the nonlinear field theory /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Stochastic elasticityby L. Angela Mihai.
其他題名:	a nondeterministic approach to the nonlinear field theory /
作者:	Mihai, L. Angela.
出版者:	Cham :Springer International Publishing :2022.
面頁冊數:	xvii, 275 p. :ill. (chiefly color), digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	ElasticityMathematical models.
電子資源:	https://doi.org/10.1007/978-3-031-06692-4
ISBN:	9783031066924$q(electronic bk.)

Stochastic elasticitya 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. 21..

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$q(electronic bk.)

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

265306
Elasticity
--Mathematical models.

LC Class. No.: QA931

Dewey Class. No.: 531.3820151922

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