| 书目名称 | Random Fields of Piezoelectricity and Piezomagnetism |
| 副标题 | Correlation Structur |
| 编辑 | Anatoliy Malyarenko,Martin Ostoja-Starzewski,Amirh |
| 视频video | |
| 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 |
| 丛书名称 | SpringerBriefs in Applied Sciences and Technology |
| 图书封面 |  |
| 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 |
| 关键词 | 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 |
发表于 2025-3-21 17:21:33
