Description
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 that address coupled field problems; this includes formulations and details of algorithms for thermoelastic, chemoelastic, poroelastic, and piezoelectric problems. The material is also illustrated in application to the nonlinear behaviour of energy storage in batteries.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.- Includes fully worked exercises throughout the book- Addresses the formulation and solution of coupled problems in detail- Contains chapter summaries that help the reader keep up-to-speed
Table of Contents
1. Introduction: Origins of the Finite Element Method and Solution of Discrete Systems2. Field Problems: Finite Element Solution of 1-D Problems3. Linear Elasticity: Finite Element Solution of 1-D Problems4. Field Problems: Finite Element Solution in Multi-dimensions5. Shape Functions6. Elasticity Problems: Finite Element Solution in Multi-dimensions7. Coupled Problems8. Patch Test and Non-conforming Elements9. Mixed Formulations10. Multi-domain Approximations11. Time Domain: Semi-Discretization of Transient Problems12. Error and Error Estimates13. Plate Bending: Thin and Thick Plates14. Shells15. Computer Procedures
