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The Finite Element Method

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The Finite Element Method for
Solid and Structural Mechanics
Sixth edition
O.C. Zienkiewicz, CBE, FRS
R.L. Taylor


Table of Contents 

1. General problems in solid mechanics and non-linearity

2. Galerkin method of approximation – irreducible and mixed forms

3. Solution of non-linear algebraic equations

4. Inelastic and non-linear materials

5. Geometrically non-linear problems – finite deformation

6. Material constitution for finite deformation

7. Treatment of constraints – contact and tied interfaces

8. Pseudo-rigid and rigid–flexible bodies

9. Discrete element methods

10. Structural mechanics problems in one dimension – rods

11. Plate bending approximation: thin (Kirchhoff) plates and C1 continuity requirements

12. ‘Thick’ Reissner–Mindlin plates – irreducible and mixed formulations

13. Shells as an assembly of flat elements

14. Curved rods and axisymmetric shells

15. Shells as a special case of three-dimensional analysis – Reissner–Mindlin assumptions

16. Semi-analytical finite element processes – use of orthogonal functions and ‘finite strip’ methods

17. Non-linear structural problems – large displacement and instability

18. Multiscale modelling

19. Computer procedures for finite element analysis




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