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Titlebook: One-Dimensional Finite Elements; An Introduction to t Andreas Öchsner,Markus Merkel Textbook 2018Latest edition Springer International Publ

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书目名称One-Dimensional Finite Elements
副标题An Introduction to t
编辑Andreas Öchsner,Markus Merkel
视频video
概述New edition now includes Special Finite Elements, thermal conduction into the analysis of rod elements, and the principle of virtual work.Introduces a new educational approach using only one-dimension
图书封面Titlebook: One-Dimensional Finite Elements; An Introduction to t Andreas Öchsner,Markus Merkel Textbook 2018Latest edition Springer International Publ
描述.This textbook presents finite element methods using exclusively one-dimensional elements. It presents the complex methodology in an easily understandable but mathematically correct fashion. The approach of one-dimensional elements enables the reader to focus on the understanding of the principles of basic and advanced mechanical problems. The reader will easily understand the assumptions and limitations of mechanical modeling as well as the underlying physics without struggling with complex mathematics. Although the description is easy, it remains scientifically correct..The approach using only one-dimensional elements covers not only standard problems but allows also for advanced topics such as plasticity or the mechanics of composite materials. Many examples illustrate the concepts and problems at the end of every chapter help to familiarize with the topics. Each chapter also includes a few exercise problems, with short answers provided at the end of the book..The second edition appears with a complete revision of all figures. It also presents a complete new chapter special elements and added the thermal conduction into the analysis of rod elements. The principle of virtual work
出版日期Textbook 2018Latest edition
关键词FEM textbook; Backward-Euler algorithm; Bending Plasticity; Composite Materials; Finite Elements Method
版次2
doihttps://doi.org/10.1007/978-3-319-75145-0
isbn_softcover978-3-030-09157-6
isbn_ebook978-3-319-75145-0
copyrightSpringer International Publishing AG, part of Springer Nature 2018
The information of publication is updating

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Motivation for the Finite Element Method,ifferent initial formulations result in the same principal finite element equation. The different formulations will be elaborated in detail based on the following descriptions:.The finite element method is used to solve different physical problems. Here solely finite element formulations related to structural mechanics are considered.
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Andreas Öchsner,Markus MerkelNew edition now includes Special Finite Elements, thermal conduction into the analysis of rod elements, and the principle of virtual work.Introduces a new educational approach using only one-dimension
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978-3-030-09157-6Springer International Publishing AG, part of Springer Nature 2018
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Bar Element,uced. Subsequently the bar element will be introduced, according to the common definitions for load and deformation quantities, which are used in the handling of the FE method. The derivation of the stiffness matrix will be described in detail. Apart from the simple prismatic bar with constant cross
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Equivalences to Tension Bar,ional torsion bar and the case of one-dimensional heat conduction in a bar. The first part of the chapter treats the torsion bar. First, the basic equations known from the strength of materials will be introduced. Subsequently, the torsion bar will be introduced, according to the common definitions
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Bending Element,nt used in this chapter will be differentiated from other element formulations. The basic equations from the strength of materials, meaning kinematics, equilibrium and constitutive equation will be introduced and used for the derivation of the differential equation of the bending line. Analytical so
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