Schaum's outline of theory and problems of finite element analysis / George R. Buchanan

Includes bibliographical references (pages 257-258) and index

Mathematical background -- Vector analysis -- Matrix theory -- Differential equations -- Cartesian tensors -- One-dimensional finite elements -- Mathematical equations of engineering -- Variational functions -- Interpolation function -- Shape functions -- Stiffness matrix -- Connectivity -- Boundary conditions -- Problems in cylindrical coordinates -- The direct method -- Two-dimensional finite elements -- Two-dimensional boundry-value problems -- Connectivity and nodal coordinates -- Theory of elasticity -- Variational functions -- Triangular elements and area coordinates -- Transformations -- Cylinderical coordinates -- Beam and frame finite elements -- Governing differential equation -- The displacement method for beam analysis -- Beam finite elements -- Matrix transformations -- Variational principles, Galerkin Approximation, and partial differential equations -- Variational principles -- Galerkin Approximation -- Coupled partial differential equations -- Initial-value problems -- Isoparametric finite elements -- Numerical integration -- Interpolation formulas and shape function formulas -- Generalized coordinates -- Isoparametric elements -- Axisymmetric formulations -- Selected topics in finite element analysis -- initial-value problems -- Eigenvalue problems -- Three-dimensional finite problems -- Higher-order finite elements -- Element continuity -- Plate finite elements -- Computer code for couples steady-state thermoelasticity