The Finite Element Method
eBook - ePub

The Finite Element Method

Its Basis and Fundamentals

  1. 800 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

The Finite Element Method

Its Basis and Fundamentals

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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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.

Table of contents

  1. Title of Book
  2. 1: The standard discrete system and origins of the finite element method
  3. 2: Problems in linear fields
  4. 3: Weak forms and approximate solutions: 1-D field problems
  5. 4: Finite element approximate solutions: 1-D field problems
  6. 5: Finite element forms exact at nodes
  7. 6: Variational forms and finite element approximation: 1-D problems
  8. 7: Field problems: a multi-dimensional finite element method
  9. 8: Shape functions, derivatives and integration
  10. 9: Problems in linear elasticity
  11. 10: Elasticity: two and three dimensional finite elements
  12. 11: The patch test, reduced integration, and non-conforming elements
  13. 12: Mixed formulation and constraints – complete field methods
  14. 13: Incompressible problems, mixed methods and other procedures of solution
  15. 14: Transient analysis of solids
  16. 15: Finite element solutions: multi-physics problems
  17. 16: Multi-physics battery simulation
  18. 17: Multidomain mixed approximations
  19. 18: The time dimension – semi-discretization of field and dynamic problems
  20. 19: Plate bending approximation: thin and thick plates
  21. 20: Shells as a special case of three-dimensional analysis
  22. 21: Computer procedures for finite element analysis
  23. A: Matrix algebra
  24. B: Some vector algebra
  25. C: Mathematical properties, error estimates and convergence
  26. D: Tensor-indicial notation in elasticity problems
  27. E: Solution of simultaneous linear algebraic equations
  28. F: Integration by parts – Green's theorem
  29. G: Triangle and tetrahedron integrals
  30. H: Matrix diagonalization or lumping
  31. I: Recovery process
  32. Author index
  33. Subject index