Introduction to Finite Element Methods

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.