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.
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