One-Dimensional Finite Elements
Subtitle: An Introduction to the FE Method
By: by Andreas Öchsner, Markus Merkel
Contributors: Merkel, Markus; SpringerLink (Online service)
Publisher: Springer Berlin Heidelberg; Imprint: Springer
Published: 2013
Place of publication: Berlin, Heidelberg
Language: eng
Format: [electronic resource] :
Number of pages: 398
ISBN-13: 9783642317972
Subjects: Structural analysis (Engineering); Computational Mathematics and Numerical Analysis; Mechanical engineering; Mathematics; Engineering; Computer science
Description: <p> 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.</p><p>  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.</p><p>
Table of contents: title: Motivation for the Finite Element Method; title: Bar Element; title: Torsion bar; title: Bending Element; title: General 1D Element; title: Plane and Spatial Frame Structures; title: Beam with Shear Contribution; title: Beams of Composite Materials; title: Nonlinear Elasticity; title: Plasticity; title: Stability (Buckling); title: Dynamics.