Overview
- 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
Part of the book series: Interdisciplinary Applied Mathematics (IAM, volume 55)
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Table of contents (7 chapters)
Keywords
About this book
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.
Authors and Affiliations
Bibliographic Information
Book Title: Stochastic Elasticity
Book Subtitle: A Nondeterministic Approach to the Nonlinear Field Theory
Authors: L. Angela Mihai
Series Title: Interdisciplinary Applied Mathematics
DOI: https://doi.org/10.1007/978-3-031-06692-4
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2022
Hardcover ISBN: 978-3-031-06691-7Published: 03 September 2022
Softcover ISBN: 978-3-031-06694-8Published: 04 September 2023
eBook ISBN: 978-3-031-06692-4Published: 01 September 2022
Series ISSN: 0939-6047
Series E-ISSN: 2196-9973
Edition Number: 1
Number of Pages: XVII, 275
Number of Illustrations: 4 b/w illustrations, 90 illustrations in colour
Topics: Probability Theory and Stochastic Processes, Classical Mechanics, Applications of Mathematics, Ordinary Differential Equations