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THE EXPLICIT FINITE ELEMENT METHOD

by Lazarus Teneketzis Tenek

 

Centre for TechnoMathematics & Scientific Computing University of Westminster, London, UK

General Department-Section of Mechanics Aristotle University of Thessaloniki, Thessaloniki, Greece



Description:
The book is a foray into the Explicit Finite Element Method. The method presents a next phase of the Natural Mode Method and includes also classical concepts. The concept of Modes to finite elements is further advanced in the present text using a unique feature of diagonal Modal matrices emphasizing the invariant and uncoupled modes. Series of matrix transformations provide explicit global matrices and expedient computer implementation. Based on these concepts a series of explicit finite elements have been developed. A unique feature is also the application of periodic modes to some elements. Numerical simulations are provided. Normal and stress wave patterns are obtained in a number of examples.

Audience:
The text can be used for educational, research, industrial and applied purposes.

Contents:
Preface. Contents. Fundamentals of the Explicit FEM. The Truss Element. An Explicit Beam Element. An Explicit Beam Element Based on Periodic Bending Modes. An Explicit Quadrilateral Shell Element. An Explicit Quadrilateral Shell Element Based on Periodic Bending Modes. An Explicit Triangular Shell Element. An Explicit Triangular Shell Element Based on Periodic Bending Modes. Explicit Solid Elements. References.

 

About the Author:

Lazarus Teneketzis Tenek received his PhD from the Centre for Techno-Mathematics & Scientific Computing Laboratory at the University of Westminster, London, UK, in collaboration with the Institute for Computer Applications ICA, University of Stuttgart, Germany (1997); a MSc in Engineering Science and Mechanics, Virginia Tech, USA (1991); a MSc in Applied Mechanics from Polytechnic University, NY, USA (1989), and a BSc in Civil Engineering, Aristotle University, Thessaloniki, Greece (1987). He is the author of 55 publications, and texts. He is member of the Editorial Board of the International Review on Modelling and Simulations (IREMOS). He has worked for the University of Virginia at NASA Langley Research Center and for Nissan Motor Co., Japan. His research interests include computational mechanics, numerical methods, experimental mechanics, waves and wave propagation, materials, and computing systems.

 

Bibliographic details:
Paperback, 184 pages, publication date: February, 2009
ISBN 978-88-96329-00-9
Imprint: Praise Worthy Prize
 

Price and Ordering:
Price: 30.00 euros

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