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Titlebook: Geometric Continuum Mechanics and Induced Beam Theories; Simon R. Eugster Book 2015 Springer International Publishing Switzerland 2015 App

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发表于 2025-3-21 16:07:41 | 显示全部楼层 |阅读模式
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Titlebook: Geometric Continuum Mechanics and Induced Beam Theories;  Simon R. Eugster Book 2015 Springer International Publishing Switzerland 2015 App
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
doihttps://doi.org/10.1007/978-3-319-16495-3
isbn_softcover978-3-319-36851-1
isbn_ebook978-3-319-16495-3Series ISSN 1613-7736 Series E-ISSN 1860-0816
issn_series 1613-7736
copyrightSpringer International Publishing Switzerland 2015
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发表于 2025-3-21 20:38:27 | 显示全部楼层
Kinematicsproposed by Epstein and Segev [., .]. A major part of the chapter deals with the introduction of the necessary differential geometric concepts. These geometric concepts are then directly applied to the description of a first gradient continuum as a model of a deformable body. Section . introduces th
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Classical Linearized Beam Theories theory is preferred which simplifies the problem drastically. Using the nonlinear beam theory from the previous chapter, such a linear beam theory is obtained in a straight forward manner by the linearization around a reference configuration. This chapter presents the process of linearization of a
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Classical Plane Linearized Beam Theoriesmains the same for all cross sections, the motion is restricted to a plane, the reference configuration is straight and the material of the continuous body is described by a linear elastic material law. These assumptions on the motion of the beam and material law enable us to formulate statements wh
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