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One-Dimensional Finite Elements

by Öchsner, Andreas.
Authors: Merkel, Markus.%author. | SpringerLink (Online service) Physical details: XXIII, 398 p. 205 illus. online resource. ISBN: 3642317979 Subject(s): Engineering. | Computer science %Mathematics. | Mechanical engineering. | Engineering. | Structural Mechanics. | Computational Mathematics and Numerical Analysis. | Mechanical Engineering.
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E-Book E-Book AUM Main Library 620.1 (Browse Shelf) Not for loan

Motivation for the Finite Element Method -- Bar Element -- Torsion bar -- Bending Element -- General 1D Element -- Plane and Spatial Frame Structures -- Beam with Shear Contribution -- Beams of Composite Materials -- Nonlinear Elasticity -- Plasticity -- Stability (Buckling) -- Dynamics.

 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.

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