TY - BOOK AU - Chandrupatla,Tirupathi R. AU - Belegundu,Ashok D. TI - Introduction to finite elements in engineering SN - 0131784536 AV - TA347.F5 C46 2002 PY - 2002///] CY - Upper Saddle River, N.J. PB - Pearson Prentice Hall KW - Finite element method KW - Engineering mathematics N1 - 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Rayleigh-Ritz Method --; Galerkin's Method --; Saint Venant's Principle --; Von Mises Stress --; Computer Programs --; Historical References --; Matrix Algebra and Gaussian Elimination --; Matrix Algebra --; Row and Column Vectors --; Addition and Subtraction --; Multiplication by a Scalar --;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 ER -