368 pages | 54 Color Illus.
Finite Element Computations in Mechanics with R: A Problem-Centred Programming Approach provides introductory coverage of the finite element method (FEM) with the R programming language, emphasizing links between theory and implementation of FEM for problems in engineering mechanics. Useful for students, practicing engineers, and researchers, the text presents the R programming as a convenient easy-to-learn tool for analyzing models of mechanical systems, with finite element routines for structural, thermal, and dynamic analyses of mechanical systems, and also visualization of the results. Full-color graphics are used throughout the text.
1. Overview of the R Programming Environment, Installations, and Basic Syntax 2. Vectors and Matrices 3. Linear Spring Elements 4. Linear and Quadratic Bar Elements 5. Plane and Space Truss Elements 6. Shear Rigid and Shear Elastic Beam Elements 7. Planar and Space Frame Elements 8. Two-Dimensional Continuum Elements for Plane Elasticity Problems 9. Two-Dimensional Continuum Elements for Axisymmetric Body Problems 10. Finite Element Formulations for Thermal Stress Problems 11. General Methods for Formulations of Element Matrices 12. Finite Element Formulations for Vibration Problems