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Titlebook: One-Dimensional Finite Elements; An Introduction to t Andreas Öchsner,Markus Merkel Textbook 20131st edition Springer-Verlag Berlin Heidelb

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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Introduces a new educational approach using only one-dimensional elements.Uses intuitive mathematics and is scientifically exact.Describes also advanced problems like composite materials and nonlinear
图书封面Titlebook: One-Dimensional Finite Elements; An Introduction to t Andreas Öchsner,Markus Merkel Textbook 20131st edition Springer-Verlag Berlin Heidelb
描述. This textbook presents finite element methods using exclusively  one-dimensional elements. The aim is to present 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 easily  understands the assumptions and limitations of mechanical modeling as well  as the underlying physics without struggling with complex mathematics. But  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 like 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..
出版日期Textbook 20131st edition
关键词Backward-Euler algorithm; Bending Plasticity; Composite Materials; Finite Elements Method FEM; Nonlinear
版次1
doihttps://doi.org/10.1007/978-3-642-31797-2
isbn_ebook978-3-642-31797-2
copyrightSpringer-Verlag Berlin Heidelberg 2013
The information of publication is updating

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Plasticity,mi-implicit backward-Euler algorithm. On crucial points the difference between one- and three-dimensional descriptions will be pointed out, to guarantee a simple transfer of the derived methods to general problems. Calculated examples and supplementary problems with short solutions serve as an introduction for the theoretical description.
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Torsion Bar,hich are used in the handling of the FE method. The explanations are limited to torsion bars with circular cross-section. The stiffness matrix will be derived according to the procedure for the tension bar [.–.].
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General 1D Element,o relates to the arbitrary orientation within space. Transformation rules from local to global coordinates are provided. As an example, structures in the plane as well as in three-dimensional space will be discussed. Furthermore there will be a short introduction in the subject of numerical integration.
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Stability (Buckling),eds the critical value, bars and beams begin to buckle. The situation becomes ambiguous, beyond the initial situation several equilibrium positions can exist. From the technical application the smallest load is critical for which buckling in either bars or beams appears.
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