04289nam a22005175i 4500 978-3-658-42742-9 DE-He213 20251030110819.0 cr nn 008mamaa 230928s2024 gw | s |||| 0|eng d 9783658427429 978-3-658-42742-9 10.1007/978-3-658-42742-9 doi TA1-2040 TN bicssc TEC009020 bisacsh TN thema Dinkler, Dieter. author. aut http://id.loc.gov/vocabulary/relators/aut 66306 Introduction to Finite Element Methods [electronic resource] / by Dieter Dinkler, Ursula Kowalsky. 1st ed. 2024. Wiesbaden : Springer Fachmedien Wiesbaden : Imprint: Springer Vieweg, 2024. XIV, 443 p. 206 illus., 21 illus. in color. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda 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. Civil engineering. Buildings Design and construction. Building materials. Civil Engineering. Building Construction and Design. Building Materials. Kowalsky, Ursula. author. aut http://id.loc.gov/vocabulary/relators/aut 66307 SpringerLink (Online service) Springer Nature eBook Printed edition: 9783658427412 Printed edition: 9783658427436 https://doi.org/10.1007/978-3-658-42742-9 ZDB-2-ENG ZDB-2-SXE 56344 56344