Providing a systematic approach and simple introduction ot the finite element method, this self-contained book will enable the reader to obtain a clear understanding of the concepts involved in this traditionally complicated methodology.
Providing a systematic approach and simple introduction ot the finite element method, this self-contained book will enable the reader to obtain a clear understanding of the concepts involved in this traditionally complicated methodology.
1. Introduction. 2. Matrix Algebra. 3. Direct Approach. 4. Strong and Weak Formulations One dimensional Heat Flow. 5. Gradient Gauss' Divergence Theorem Green Theorem. 6. Strong and Weak Forms Two and Three Dimensional Heat Flow. 7. Choice of Approximating Functions for the FE method Scalar Problems. 8. Choice of Weight Function Weighted Residual Methods. 9. FE formulation of One Dimensional Heat Flow. 10. FE formulation of Two and Three Dimensional Heat Flow. 11. Guidelines for Element Meshes and Global Nodal Numbering. 12. Stresses and Strains. 13. Linear Elasticity. 14. FE formulation of Torsion and Non circular Shafts. 15. Approximating Functions for the FE method Vector Problems. 16. FE formulation of Three and Two Dimensional Elasticity. 17. FE formulation of Beams. 18. FE formulation of Plates. 19. Isoparametric Finite Elements. 20. Numerical Integration.
1. Introduction. 2. Matrix Algebra. 3. Direct Approach. 4. Strong and Weak Formulations One dimensional Heat Flow. 5. Gradient Gauss' Divergence Theorem Green Theorem. 6. Strong and Weak Forms Two and Three Dimensional Heat Flow. 7. Choice of Approximating Functions for the FE method Scalar Problems. 8. Choice of Weight Function Weighted Residual Methods. 9. FE formulation of One Dimensional Heat Flow. 10. FE formulation of Two and Three Dimensional Heat Flow. 11. Guidelines for Element Meshes and Global Nodal Numbering. 12. Stresses and Strains. 13. Linear Elasticity. 14. FE formulation of Torsion and Non circular Shafts. 15. Approximating Functions for the FE method Vector Problems. 16. FE formulation of Three and Two Dimensional Elasticity. 17. FE formulation of Beams. 18. FE formulation of Plates. 19. Isoparametric Finite Elements. 20. Numerical Integration.
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