One-Dimensional Finite Elements
An Introduction to the FE Method
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Beschreibung
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.
Presenting a complex methodology in an easily understandable but mathematically correct fashion, this book reviews finite element methods using exclusively one-dimensional elements. Advanced topics include plasticity and the mechanics of composite materials.
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.
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 elasticity
Many examples facilitate the understanding plus solutions manual for instructors
Autor*in
Andreas Öchsner
Themen in »One-Dimensional Finite Elements«
Backward-Euler algorithm Bending Plasticity Composite Materials Finite Elements Method FEM Nonlinear Elasticity Shear Forces Structural Mechanics Timoshenko Beams Torsion
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From the reviews:
“As its title describes, this book is about the finite element method applied to one-dimensional problems. … several problems of interest are indeed modeled using a single space variable. This book should appeal to the mechanical engineering community.” (Alexandre L. Madureira, Mathematical Reviews, January, 2014)
“This book is an excellent addition to course resources on finite elements. … Each chapter includes worked examples and a few exercise problems. Short answers for the exercises, provided at the end of the book, will be helpful to students. A valuable course resource for students in mechanical, civil, aerospace, and other engineering curricula and a useful acquisition for academic libraries. Summing Up: Highly recommended. Upper-division undergraduates, graduate students, practicing engineers.” (R. Kolar, Choice, Vol. 51 (1), September, 2013)()