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Stochastic Elasticity: A Nondeterministic Approach to the Nonlinear Field Theory 2022 ed. [Kõva köide]

  • Formaat: Hardback, 275 pages, kõrgus x laius: 235x155 mm, kaal: 612 g, 90 Illustrations, color; 4 Illustrations, black and white; XVII, 275 p. 94 illus., 90 illus. in color., 1 Hardback
  • Sari: Interdisciplinary Applied Mathematics 55
  • Ilmumisaeg: 03-Sep-2022
  • Kirjastus: Springer International Publishing AG
  • ISBN-10: 303106691X
  • ISBN-13: 9783031066917
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Stochastic Elasticity: A Nondeterministic Approach to the Nonlinear Field Theory 2022 ed.Suurem pilt
  • Formaat: Hardback, 275 pages, kõrgus x laius: 235x155 mm, kaal: 612 g, 90 Illustrations, color; 4 Illustrations, black and white; XVII, 275 p. 94 illus., 90 illus. in color., 1 Hardback
  • Sari: Interdisciplinary Applied Mathematics 55
  • Ilmumisaeg: 03-Sep-2022
  • Kirjastus: Springer International Publishing AG
  • ISBN-10: 303106691X
  • ISBN-13: 9783031066917
Teised raamatud teemal:
Püsilink: https://www.kriso.ee/db/9783031066917.html
Märksõnad:
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.

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.