Introduction to Finite Element Methods - Softcover

Dinkler, Dieter; Kowalsky, Ursula

Softcover

ISBN 10: 3658427418 ISBN 13: 9783658427412

Publisher: Springer Vieweg, 2023

Synopsis

The textbook at hand offers an introduction to Finite Element Methods from an engineering point of view comprising the basic principles of virtual work, derivations of displacement-based, mixed and hybrid element formulations for 1-D and 2-D membrane as well as bending structures and heat conduction. 

Different element geometries, including triangular elements and the isoparametric concept, and related numerical integration schemes, are presented. The element matrices and load vectors are derived in detail, the assembly at the system level is discussed with respect to fulfillment of boundary conditions and numerical efficiency. Evaluation of errors and investigations concerning the quality of the elements complete the work flow. 

About this title

About the Author

Dieter Dinkler is Professor emeritus of Structural Analysis at Technische Universität Braunschweig. Ursula Kowalsky is Associate Professor of Structural Analysis at Technische Universität Braunschweig.

From the Back Cover

The textbook at hand offers an introduction to Finite Element Methods from an engineering point of view comprising the basic principles of virtual work, derivations of displacement-based, mixed and hybrid element formulations for 1-D and 2-D membrane as well as bending structures and heat conduction. 

Different element geometries, including triangular elements and the isoparametric concept, and related numerical integration schemes, are presented. The element matrices and load vectors are derived in detail, the assembly at the system level is discussed with respect to fulfillment of boundary conditions and numerical efficiency. Evaluation of errors and investigations concerning the quality of the elements complete the work flow. 

The content

Heat conduction, plane stress structures, bending structures, 

Discretization of the work equation, 

Structure and solution of the system of equations, 

Rectangular and triangular elements, 

Isoparametric elements, 

Numerical integration, 

Hybrid quadrilateral membrane elements, 

Hybrid triangular plate elements, 

Elements including description of shear deformation, 

Evaluation of elements - error estimation, quality of elements. 

The target group

The textbook is addressed to students and engineers, who are dealing with structural mechanics and are interested to develop elements for their own applications. 

The authors

Dieter Dinkler is Professor emeritus of Structural Analysis at Technische Universität Braunschweig. Ursula Kowalsky is Associate Professor of Structural Analysis at Technische Universität Braunschweig.

Edition details

• Publisher: Springer Vieweg
• Publication date: 2023
• Language: English
• ISBN 10: 3658427418
• ISBN 13: 9783658427412
• Binding: Paperback
• Edition number: 1
• Number of pages: 457