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Stochastic Elasticity de L. Angela Mihai

Stochastic Elasticity: Interdisciplinary Applied Mathematics, cartea 55

Autor L. Angela Mihai
en Limba Engleză Hardback – 3 sep 2022
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.

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Specificații

ISBN-13: 9783031066917
ISBN-10: 303106691X
Pagini: 296
Ilustrații: XVII, 275 p. 94 illus., 90 illus. in color.
Dimensiuni: 160 x 241 x 22 mm
Greutate: 0.61 kg
Ediția:1st ed. 2022
Editura: Springer
Colecția Interdisciplinary Applied Mathematics
Seria Interdisciplinary Applied Mathematics

Locul publicării:Cham, Switzerland

Cuprins

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.

Textul de pe ultima copertă

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.

Caracteristici

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