Introduction to finite elements in engineering / Tirupathi R. Chandrupatla, Ashok D. Belegundu.

Previous edition: 1997.

Includes bibliographical references and index.

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-- Rayleigh-Ritz Method -- Galerkin's Method -- Saint Venant's Principle -- Von Mises Stress -- Computer Programs -- Historical References -- Matrix Algebra and Gaussian Elimination -- Matrix Algebra -- Row and Column Vectors -- Addition and Subtraction -- Multiplication by a Scalar -- Matrix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.