Library of American University of Madaba
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Öchsner, Andreas.
One-Dimensional Finite Elements An Introduction to the FE Method / [electronic resource] : by Andreas Öchsner, Markus Merkel. - XXIII, 398 p. 205 illus. online resource.
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.
9783642317972
Engineering.
Computer science--Mathematics.
Mechanical engineering.
Engineering.
Structural Mechanics.
Computational Mathematics and Numerical Analysis.
Mechanical Engineering.
620.1
One-Dimensional Finite Elements An Introduction to the FE Method / [electronic resource] : by Andreas Öchsner, Markus Merkel. - XXIII, 398 p. 205 illus. online resource.
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.
9783642317972
Engineering.
Computer science--Mathematics.
Mechanical engineering.
Engineering.
Structural Mechanics.
Computational Mathematics and Numerical Analysis.
Mechanical Engineering.
620.1