書目名稱 | Random Fields of Piezoelectricity and Piezomagnetism | 副標(biāo)題 | Correlation Structur | 編輯 | Anatoliy Malyarenko,Martin Ostoja-Starzewski,Amirh | 視頻video | http://file.papertrans.cn/822/821047/821047.mp4 | 概述 | Reviews displacement-based and stress-based theories of linear piezoelectric and piezomagnetic materials.Gives an account of the corresponding variational principles.Presents a random field formulatio | 叢書名稱 | SpringerBriefs in Applied Sciences and Technology | 圖書封面 |  | 描述 | .Random fields are a necessity when formulating stochastic continuum theories. In this book, a theory of random piezoelectric and piezomagnetic materials is developed. First, elements of the continuum mechanics of electromagnetic solids are presented. Then the relevant linear governing equations are introduced, written in terms of either a displacement approach or a stress approach, along with linear variational principles. On this basis, a statistical description of second-order (statistically) homogeneous and isotropic rank-3 tensor-valued random fields is given. With a group-theoretic foundation, correlation functions and their spectral counterparts are obtained in terms of stochastic integrals with respect to certain random measures for the fields that belong to orthotropic, tetragonal, and cubic crystal systems. The target audience will primarily comprise researchers and graduate students in theoretical mechanics, statistical physics, and probability.. | 出版日期 | Book 2020 | 關(guān)鍵詞 | 00A69, 74Axx, 60G60; Piezoelectricity; Piezomagnetism; Random Field; Theoretical Mechanics; Applied Mathe | 版次 | 1 | doi | https://doi.org/10.1007/978-3-030-60064-8 | isbn_softcover | 978-3-030-60063-1 | isbn_ebook | 978-3-030-60064-8Series ISSN 2191-530X Series E-ISSN 2191-5318 | issn_series | 2191-530X | copyright | The Author(s), under exclusive license to Springer Nature Switzerland AG 2020 |
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