Blick ins Buch

Introduction to Finite Element Methods

Dieter Dinkler, Ursula Kowalsky (Autoren)

Buch | Softcover

XIV, 443 Seiten

2023 | 1st ed. 2024
Springer Fachmedien Wiesbaden GmbH (Verlag)
978-3-658-42741-2 (ISBN)

Lese- und Medienproben

Inhaltsverzeichnis (PDF)

Artikel merken

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.

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

Introduction.- Discretization of the Work Equation.- Structure and Solution of the System of Equations.- Heat Conduction.- Membrane Structures.- Bending Structures.- Triangular Elements - Description of Geometry.- Triangular Elements to Describe Heat Conduction.- Triangular Elements for Membrane Structures.- Triangular Elements for Kirchhoff Plates.- Numerical Integration.- Isoparametric Elements.- Hybrid Finite Elements.- Hybrid-Mixed Plane Stress Elements.- Hybrid-Mixed Euler-Bernoulli Beam Elements.- Hybrid-Mixed Kirchhoff Plate Elements.- Hybrid Triangular Plate Elements.- Hybrid-Mixed Triangular Plate Elements.- Discrete Kirchhoff-Teory Element.- Benchmark Concerning Triangular Plate Elements.- Timoshenko Beam Elements.- Plate Elements Including Shear Deformations.- Error Estimations.- Quality of Elements.- References.- Index.

Erscheinungsdatum	30.09.2023
Zusatzinfo	XIV, 443 p. 206 illus., 21 illus. in color.
Verlagsort	Wiesbaden
Sprache	englisch
Maße	148 x 210 mm
Gewicht	590 g
Themenwelt	Technik ► Bauwesen
Schlagworte	Bending Structures • error estimation • FEM • heat conduction • Isoparametric Elements • Kirchoff`s Plates • Menbrane Structures
ISBN-10	3-658-42741-8 / 3658427418
ISBN-13	978-3-658-42741-2 / 9783658427412
Zustand	Neuware