Cargando…

The finite element method for solid and structural mechanics /

This is the key text and reference for engineers, researchers and senior students dealing with the analysis and modelling of structures - from large civil engineering projects such as dams, to aircraft structures, through to small engineered components. Covering small and large deformation behaviour...

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Zienkiewicz, O. C.
Otros Autores: Taylor, Robert L. (Robert Leroy), 1934-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Amsterdam ; Boston : Elsevier Butterworth-Heinemann, ©2005.
Edición:6th ed.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Cover
  • The Finite Element Method for Solid and Structural Mechanics Sixth edition
  • Contents
  • Preface
  • 1. General problems in solid mechanics and non-linearity
  • 1.1 Introduction
  • 1.2 Small deformation solid mechanics problems
  • 1.3 Variational forms for non-linear elasticity
  • 1.4 Weak forms of governing equations
  • 1.5 Concluding remarks
  • References
  • 2. Galerkin method of approximation
  • irreducible and mixed forms
  • 2.1 Introduction
  • 2.2 Finite element approximation
  • Galerkin method
  • 2.3 Numerical integration
  • quadrature
  • 2.4 Non-linear transient and steady-state problems
  • 2.5 Boundary conditions: non-linear problems
  • 2.6 Mixed or irreducible forms
  • 2.7 Non-linear quasi-harmonic field problems
  • 2.8 Typical examples of transient non-linear calculations
  • 2.9 Concluding remarks
  • References
  • 3. Solution of non-linear algebraic equations
  • 3.1 Introduction
  • 3.2 Iterative techniques
  • 3.3 General remarks
  • incremental and rate methods
  • References
  • 4. Inelastic and non-linear materials
  • 4.1 Introduction
  • 4.2 Viscoelasticity
  • history dependence of deformation
  • 4.3 Classical time-independent plasticity theory
  • 4.4 Computation of stress increments
  • 4.5 Isotropic plasticity models
  • 4.6 Generalized plasticity
  • 4.7 Some examples of plastic computation
  • 4.8 Basic formulation of creep problems
  • 4.9 Viscoplasticity
  • a generalization
  • 4.10 Some special problems of brittle materials
  • 4.11 Non-uniqueness and localization in elasto-plastic deformations
  • 4.12 Non-linear quasi-harmonic field problems
  • 4.13 Concluding remarks
  • References
  • 5. Geometrically non-linear problems
  • finite deformation
  • 5.1 Introduction
  • 5.2 Governing equations
  • 5.3 Variational description for finite deformation
  • 5.4 Two-dimensional forms
  • 5.5 A three-field, mixed finite deformation formulation
  • 5.6 A mixed-enhanced finite deformation formulation
  • 5.7 Forces dependent on deformation
  • pressure loads
  • 5.8 Concluding remarks
  • References
  • 6. Material constitution for finite deformation
  • 6.1 Introduction
  • 6.2 Isotropic elasticity
  • 6.3 Isotropic viscoelasticity
  • 6.4 Plasticity models
  • 6.5 Incremental formulations
  • 6.6 Rate constitutive models
  • 6.7 Numerical examples
  • 6.8 Concluding remarks
  • References
  • 7. Treatment of constraints
  • contact and tied interfaces
  • 7.1 Introduction
  • 7.2 Node-node contact: Hertzian contact
  • 7.3 Tied interfaces
  • 7.4 Node-surface contact
  • 7.5 Surface-surface contact
  • 7.6 Numerical examples
  • 7.7 Concluding remarks
  • References
  • 8. Pseudo-rigid and rigid-flexible bodies
  • 8.1 Introduction
  • 8.2 Pseudo-rigid motions
  • 8.3 Rigid motions
  • 8.4 Connecting a rigid bo.