04108nam a22004695i 4500001001800000003000900018005001700027007001500044008004100059020003700100024003500137050001300172072001500185072002300200072001400223100008500237245010500322250001800427264008300445300006600528336002600594337002600620338003600646347002400682505087500706520157601581650002303157650004003180650002403220650002303244650003803267650002403305700008603329710003403415773002603449776003603475776003603511856004603547912001403593912001403607999001703621978-3-658-42742-9DE-He21320251030110819.0cr nn 008mamaa230928s2024    gw |    s    |||| 0|eng d  a97836584274299978-3-658-42742-97 a10.1007/978-3-658-42742-92doi 4aTA1-2040 7aTN2bicssc 7aTEC0090202bisacsh 7aTN2thema1 aDinkler, Dieter.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut96630610aIntroduction to Finite Element Methodsh[electronic resource] /cby Dieter Dinkler, Ursula Kowalsky.  a1st ed. 2024. 1aWiesbaden :bSpringer Fachmedien Wiesbaden :bImprint: Springer Vieweg,c2024.  aXIV, 443 p. 206 illus., 21 illus. in color.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier  atext filebPDF2rda0 aIntroduction -- 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. .  aThe 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. 0aCivil engineering. 0aBuildingsxDesign and construction. 0aBuilding materials.14aCivil Engineering.24aBuilding Construction and Design.24aBuilding Materials.1 aKowalsky, Ursula.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut9663072 aSpringerLink (Online service)0 tSpringer Nature eBook08iPrinted edition:z978365842741208iPrinted edition:z978365842743640uhttps://doi.org/10.1007/978-3-658-42742-9  aZDB-2-ENG  aZDB-2-SXE  c56344d56344