eBook - ePub
The Finite Element Method
Its Basis and Fundamentals
- 800 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
eBook - ePub
About this book
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
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Information
Table of contents
- Title of Book
- 1: The standard discrete system and origins of the finite element method
- 2: Problems in linear fields
- 3: Weak forms and approximate solutions: 1-D field problems
- 4: Finite element approximate solutions: 1-D field problems
- 5: Finite element forms exact at nodes
- 6: Variational forms and finite element approximation: 1-D problems
- 7: Field problems: a multi-dimensional finite element method
- 8: Shape functions, derivatives and integration
- 9: Problems in linear elasticity
- 10: Elasticity: two and three dimensional finite elements
- 11: The patch test, reduced integration, and non-conforming elements
- 12: Mixed formulation and constraints – complete field methods
- 13: Incompressible problems, mixed methods and other procedures of solution
- 14: Transient analysis of solids
- 15: Finite element solutions: multi-physics problems
- 16: Multi-physics battery simulation
- 17: Multidomain mixed approximations
- 18: The time dimension – semi-discretization of field and dynamic problems
- 19: Plate bending approximation: thin and thick plates
- 20: Shells as a special case of three-dimensional analysis
- 21: Computer procedures for finite element analysis
- A: Matrix algebra
- B: Some vector algebra
- C: Mathematical properties, error estimates and convergence
- D: Tensor-indicial notation in elasticity problems
- E: Solution of simultaneous linear algebraic equations
- F: Integration by parts – Green's theorem
- G: Triangle and tetrahedron integrals
- H: Matrix diagonalization or lumping
- I: Recovery process
- Author index
- Subject index
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Yes, you can access The Finite Element Method by O. C. Zienkiewicz,R. L. Taylor,S. Govindjee in PDF and/or ePUB format, as well as other popular books in Technology & Engineering & Engineering General. We have over one million books available in our catalogue for you to explore.