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Introduction to finite element methods

Record Type:	Electronic resources : Monograph/item
Title/Author:	Introduction to finite element methodsby Dieter Dinkler, Ursula Kowalsky.
Author:	Dinkler, Dieter.
other author:	Kowalsky, Ursula.
Published:	Wiesbaden :Springer Fachmedien Wiesbaden :2024.
Description:	xiv, 443 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Finite element method.
Online resource:	https://doi.org/10.1007/978-3-658-42742-9
ISBN:	9783658427429$q(electronic bk.)

Introduction to finite element methods
Dinkler, Dieter.

Introduction to finite element methods[electronic resource] /by Dieter Dinkler, Ursula Kowalsky. - Wiesbaden :Springer Fachmedien Wiesbaden :2024. - xiv, 443 p. :ill. (some col.), digital ;24 cm.

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.

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.

ISBN: 9783658427429$q(electronic bk.)

Standard No.: 10.1007/978-3-658-42742-9doiSubjects--Topical Terms:

184533
Finite element method.

LC Class. No.: TA347.F5

Dewey Class. No.: 518.25

Introduction to finite element methods
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245 1 0 $a Introduction to finite element methods $h [electronic resource] / $c by Dieter Dinkler, Ursula Kowalsky.
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505 0 $a 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.
520 $a 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.
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