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Titlebook: Stochastic Elasticity; A Nondeterministic A L. Angela Mihai Book 2022 Springer Nature Switzerland AG 2022 stochastic modeling.hyperelastic

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发表于 2025-3-21 18:07:51 | 显示全部楼层 |阅读模式
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Titlebook: Stochastic Elasticity; A Nondeterministic A L. Angela Mihai Book 2022 Springer Nature Switzerland AG 2022 stochastic modeling.hyperelastic
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
doihttps://doi.org/10.1007/978-3-031-06692-4
isbn_softcover978-3-031-06694-8
isbn_ebook978-3-031-06692-4Series ISSN 0939-6047 Series E-ISSN 2196-9973
issn_series 0939-6047
copyrightSpringer Nature Switzerland AG 2022
The information of publication is updating

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发表于 2025-3-21 22:06:42 | 显示全部楼层
Oscillatory Motions,lling of physical responses in many biological and synthetic systems, have been less investigated. In finite nonlinear elasticity, such work has focused mostly on the static stability of pressurised shells or on wave-type solutions in infinite media.
发表于 2025-3-22 00:49:37 | 显示全部楼层
Liquid Crystal Elastomers,e word . was coined by G. Friedel (Annales de Physique 9(18):272–474, 1922) (see also de Gennes and Prost (The Physics of Liquid Crystals, 2nd ed, Clarendon Press, Oxford, 1993)).) LCE are illustrated in Fig. 6.2.
发表于 2025-3-22 05:35:44 | 显示全部楼层
Book 2022edictions 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 litt
发表于 2025-3-22 10:16:40 | 显示全部楼层
发表于 2025-3-22 14:00:33 | 显示全部楼层
Are Elastic Materials Like Gambling Machines?, datasets. The procedure is mathematically tractable and builds directly on knowledge from deterministic finite elasticity. To illustrate its efficiency, a rubber-like material under uniaxial stretch is considered. For this material, several models listed in Table . are suitable candidates. To captu
发表于 2025-3-22 19:04:25 | 显示全部楼层
发表于 2025-3-22 22:54:21 | 显示全部楼层
Oscillatory Motions,es. In contrast, time-dependent finite oscillations of cylindrical tubes and spherical shells of nonlinear hyperelastic material, relevant to the modelling of physical responses in many biological and synthetic systems, have been less investigated. In finite nonlinear elasticity, such work has focus
发表于 2025-3-23 02:52:47 | 显示全部楼层
Liquid Crystal Elastomers,tal, a liquid crystal, and a liquid is compared schematically in Fig. 6.1. Computer simulations of a nematic (From the Ancient Greek . (., thread). The word . was coined by G. Friedel (Annales de Physique 9(18):272–474, 1922) (see also de Gennes and Prost (The Physics of Liquid Crystals, 2nd ed, Cla
发表于 2025-3-23 08:03:29 | 显示全部楼层
Are Elastic Materials Like Gambling Machines?,in deterministic. Finally, Bayes’ theorem is applied to select the model that is most likely to reproduce the data. These calibration and selection procedures can be extended to anisotropic materials.
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