书目名称 | Stochastic Elasticity | 副标题 | A Nondeterministic A | 编辑 | L. Angela Mihai | 视频video | | 概述 | 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 e | 丛书名称 | Interdisciplinary Applied Mathematics | 图书封面 |  | 描述 | 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 | 出版日期 | Book 2022 | 关键词 | stochastic modeling; hyperelastic materials; large strain analysis; nonlinear elastic deformations; limi | 版次 | 1 | doi | https://doi.org/10.1007/978-3-031-06692-4 | isbn_softcover | 978-3-031-06694-8 | isbn_ebook | 978-3-031-06692-4Series ISSN 0939-6047 Series E-ISSN 2196-9973 | issn_series | 0939-6047 | copyright | Springer Nature Switzerland AG 2022 |
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