Introduction to the Finite Element Method 4E

an up-to-date, self-contained introduction to the theory and applications of the finite element method This thoroughly revised classic engineering textbook offers a broad-based overview of the finite element method. Written by a world-renowned mechanical engineering researcher and author, the book shows, step-by-step, how to calculate numerical solutions to steady-state as well as time-dependent problems. You also get detailed problems with worked-out solutions and downloadable programs that can be used and modified for real-world situations. Special attention is paid to applications that are important in bioengineering, fluid and thermal sciences, structural mechanics, and a host of applied sciences. introduction to the finite element method, Fourth Edition, covers:Mathematical preliminaries and classical variational methods1-D finite element models of second-order differential equationsApplications to 1-D heat transfer and fluid and solid mechanics problemsFinite element analysis of beams and circular platesPlane trusses and framesEigenvalue and time-dependent problems in 1-DNumerical integration and computer implementation in 1-DSingle-variable problems in two dimensions2-D interpolation functions, numerical integration, and computer implementation in 2-DFlows of viscous incompressible fluidsPlane elasticity3-D finite element analysis