书目名称 | Geometric Continuum Mechanics and Induced Beam Theories |
编辑 | Simon R. Eugster |
视频video | |
概述 | Devoted to fundamental questions on the foundations of continuum mechanics.Presents application of the fundamental concepts of continuum mechanics to beam theories.All classical beam theories, where t |
丛书名称 | Lecture Notes in Applied and Computational Mechanics |
图书封面 |  |
描述 | .This research monograph discusses novel approaches to geometric continuum mechanics and introduces beams as constraint continuous bodies. In the coordinate free and metric independent geometric formulation of continuum mechanics as well as for beam theories, the principle of virtual work serves as the fundamental principle of mechanics. Based on the perception of analytical mechanics that forces of a mechanical system are defined as dual quantities to the kinematical description, the virtual work approach is a systematic way to treat arbitrary mechanical systems. Whereas this methodology is very convenient to formulate induced beam theories, it is essential in geometric continuum mechanics when the assumptions on the physical space are relaxed and the space is modeled as a smooth manifold. The book addresses researcher and graduate students in engineering and mathematics interested in recent developments of a geometric formulation of continuum mechanics and a hierarchical development of induced beam theories.. |
出版日期 | Book 2015 |
关键词 | Applications of Beam Theories; Beam Theories; Continuum Mechanics; Foundations of Continuum Mechanics; N |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-319-16495-3 |
isbn_softcover | 978-3-319-36851-1 |
isbn_ebook | 978-3-319-16495-3Series ISSN 1613-7736 Series E-ISSN 1860-0816 |
issn_series | 1613-7736 |
copyright | Springer International Publishing Switzerland 2015 |