Метод конечных элементов в технике + бонус (Зенкевич О.)
В продолжение публикации Методы конечных элементов - 5 книг
Бонус - трехтомник Зинкевича и Тейлора 2000 года.
Volume 1: The basis
1. Some preliminaries: the standard discrete system
2. A direct approach to problems in elasticity
3. Generalization of the finite element concepts. Galerkin-weighted residual and
variational approaches
4. Plane stress and plane strain
5. Axisymmetric stress analysis
6. Three-dimensional stress analysis
7. Steady-state field problems - heat conduction, electric and magnetic potential,
fluid flow, etc
8. 'Standard' and 'hierarchical' element shape functions: some general families of
Co continuity
9. Mapped elements and numerical integration - 'infinite' and 'singularity' elements
10. The patch test, reduced integration, and non-conforming elements
11. Mixed formulation and constraints - complete field methods
I2. Incompressible problems, mixed methods and other procedures of solution
13. Mixed formulation and constraints - incomplete (hybrid) field methods, bound-
ary/Trefftz methods
14. Errors, recovery processes and error estimates
15. Adaptive finite element refinement
16. Point-based approximations; element-free Galerkin - and other meshless methods
17. The time dimension - semi-discretization of field and dynamic problems and
analytical solution procedures
18. The time dimension - discrete approximation in time
19. Coupled systems
20. Computer procedures for finite element analysis
Appendix A. Matrix algebra
Appendix B. Tensor-indicial notation in the approximation of elasticity problems
Appendix C. Basic equations of displacement analysis
Appendix D. Some integration formulae for a triangle
Appendix E. Some integration formulae for a tetrahedron
Appendix F. Some vector algebra
Appendix G. Integration by parts
Appendix H. Solutions exact at nodes
Appendix I. Matrix diagonalization or lumping
Volume 2: Solid and structural mechanics
1. General problems in solid mechanics and non-linearity
2. Solution of non-linear algebraic equations
3. Inelastic materials
4. Plate bending approximation: thin (Kirchhoff) plates and Q continuity require-
requirements
5. 'Thick' Reissner-Mindlin plates - irreducible and mixed formulations
6. Shells as an assembly of flat elements
7. Axisymmetric shells
8. Shells as a special case of three-dimensional analysis - Reissner-Mindlin
assumptions
9. Semi-analytical finite element processes - use of orthogonal functions and 'finite
strip' methods
10. Geometrically non-linear problems - finite deformation
11. Non-linear structural problems - large displacement and instability
12. Pseudo-rigid and rigid-flexible bodies
13. Computer procedures for finite element analysis
Appendix A: Invariants of second-order tensors
Volume 3: Fluid dynamics
1. Introduction and the equations of fluid dynamics
2. Convection dominated problems - finite element approximations
3. A general algorithm for compressible and incompressible flows - the characteristic
based split (CBS) algorithm
4. Incompressible laminar flow - newtonian and non-newtonian fluids
5. Free surfaces, buoyancy and turbulent incompressible flows
6. Compressible high speed gas flow
7. Shallow-water problems
8. Waves
9. Computer implementation of the CBS algorithm
Appendix A. Non-conservative form of Navier-Stokes equations
Appendix B. Discontinuous Galerkin methods in the solution of the convection-
diffusion equation
Appendix C. Edge-based finite element formulation
Appendix D. Multi grid methods
Appendix E. Boundary layer - inviscid flow coupling
пароль на архивы - infanata
(P)
Издатель: Москва, "Мир"
Год издания: 1975
Страниц: 541
Язык: русский, английский
Качество: хорошее
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