The Finite Element Method: Its Basis and Fundamentals offers a complete introduction to the basis of the finite element method, covering fundamental theory and worked examples in the detail required for readers to apply the knowledge to their own engineering problems and understand more advanced applications. This edition sees the significant addition of content addressing coupling problems, including: Finite element analysis formulations for coupled problems; Details of algorithms for solving coupled problems; Examples showing how algorithms can be used to solve for piezoelectricity and poroelasticity problems. Focusing on the core knowledge, mathematical and analytical tools needed for successful application, The Finite Element Method: Its Basis and Fundamentals is the authoritative resource of choice for graduate level students, researchers and professional engineers involved in finite element-based engineering analysis.
1. Introduction: Origins of the Finite Element Method and Solution of Discrete Systems. 2. Field Problems: Finite Element Solution of 1-D Problems 3. Linear Elasticity: Finite Element Solution of 1-D Problems 4. Field Problems: Finite Element Solution in Multi-dimensions 5. Shape Functions 6. Elasticity Problems: Finite Element Solution in Multi-dimensions 7. Coupled Problems 8. Patch Test & Non-conforming Elements 9. Mixed Formulations 10. Multi-domain Approximations 11. Time Domain: Semi-Discretization of Transient Problems 12. Error and Error Estimates 13. Plate Bending: Thin and Thick Plates 14. Shells 15. Computer Procedures
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