Introduction to Finite Elements

Cd-rom Includes: Complete Self-contained Computer Programs With Source Codes In Visual Basic, Excel-based Visual Basic, Matlab, Quickbasic, Fortran, And C. Historical Background -- Outline Of Presentation -- Stresses And Equilibrium -- Boundary Conditions -- Strain-displacement Relations -- Stress-strain Relations -- Special Cases -- Temperature Effects -- Potential Energy And Equilibrium; The Rayleigh-ritz Method -- Potential Energy [pi] -- Rayleigh-ritz Method -- Galerkin's Method -- Saint Venant's Principle -- Von Mises Stress -- Computer Programs -- Historical References -- Matrix Algebra And Gaussian Elimination -- Matrix Algebra -- Row And Column Vectors -- Addition And Subtraction -- Multiplication By A Scalar -- Matrix Multiplication -- Transposition -- Differentiation And Integration -- Square Matrix -- Diagonal Matrix -- Identity Matrix -- Symmetric Matrix -- Upper Triangular Matrix -- Determinant Of A Matrix -- Matrix Inversion -- Eigenvalues And Eigenvectors -- Positive Definite Matrix -- Cholesky Decomposition -- Gaussian Elimination -- General Algorithm For Gaussian Elimination -- Symmetric Matrix -- Symmetric Banded Matrices -- Solution With Multiple Right Sides -- Gaussian Elimination With Column Reduction -- Skyline Solution -- Frontal Solution -- Conjugate Gradient Method For Equation Solving -- Conjugate Gradient Algorithm -- Program Listings -- One-dimensional Problems -- Finite Element Modeling -- Element Division -- Numbering Scheme -- Coordinates And Shape Functions -- The Potential-energy Approach -- Element Stiffness Matrix -- Force Terms -- The Galerkin Approach -- Element Stiffness -- Force Terms. Tirupathi R. Chandrupatla, Ashok D. Belegundu. Includes Bibliographical References (p. 443-446) And Index.