| 書目名稱 | Tensor Analysis | | 編輯 | Fridtjov Irgens | | 視頻video | http://file.papertrans.cn/904/903058/903058.mp4 | | 概述 | Presents tensors and tensor analysis as primary mathematical tools for engineering students and researchers.Includes problems for readers to solve as well as the solutions.Starts at the very beginning | | 圖書封面 |  | | 描述 | .This book presents tensors and tensor analysis as primary mathematical tools for engineering and engineering science students and researchers. The discussion is based on the concepts of vectors and vector analysis in three-dimensional Euclidean space, and although it takes the subject matter to an advanced level, the book starts with elementary geometrical vector algebra so that it is suitable as a first introduction to tensors and tensor analysis. Each chapter includes a number of problems for readers to solve, and solutions are provided in an Appendix at the end of the text..Chapter 1 introduces the necessary mathematical foundations for the chapters that follow, while Chapter 2 presents the equations of motions for bodies of continuous material. Chapter 3 offers a general definition of tensors and tensor fields in three-dimensional Euclidean space. Chapter 4 discusses a new family of tensors related to the deformation of continuous material. Chapter 5 then addresses constitutive equations for elastic materials and viscous fluids, which are presented as tensor equations relating the tensor concept of stress to the tensors describing deformation, rate of deformation and rotation. | | 出版日期 | Book 2019 | | 關(guān)鍵詞 | Continuum Mechanics; Stress Analysis; Rigid Body Dynamics; Strain Tensor; Hooke’s Law; Viscous Fluids; Gen | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-030-03412-2 | | isbn_ebook | 978-3-030-03412-2 | | copyright | Springer Nature Switzerland AG 2019 |
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