The finite element method for solid and structural mechanics [[electronic resource] /] / O.C. Zienkiewicz, R.L. Taylor

• Record Nr.: UNINA9910457666703321
• Autore: Zienkiewicz O. C
• Pubbl/distr/stampa: Amsterdam ; ; Boston, : Elsevier Butterworth-Heinemann, 2005
• ISBN: 1-280-63894-X; 9786610638949; 0-08-045558-1
• Edizione: [6th ed.]
• Descrizione fisica: 1 online resource (653 p.)
• Altri autori (Persone): TaylorRobert L <1934-> (Robert Leroy)
• Disciplina: 624.1/71
• Soggetti: Structural analysis (Engineering); Continuum mechanics; Finite element method; Electronic books.
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di contenuto: Front Cover; The Finite Element Method for Solid and Structural Mechanics; Copyright Page; Contents; Preface; Chapter 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; Chapter 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 problems2.5 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; Chapter 3. Solution of non-linear algebraic equations; 3.1 Introduction; 3.2 Iterative techniques; 3.3 General remarks - incremental and rate methods; References; Chapter 4. Inelastic and non-linear materials; 4.1 Introduction; 4.2 Viscoelasticity - history dependence of deformation; 4.3 Classical time-independent plasticity theory4.4 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; Chapter 5. Geometrically non-linear problems - finite deformation; 5.1 Introduction; 5.2 Governing equations; 5.3 Variational description for finite deformation5.4 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; Chapter 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; Chapter 7. Treatment of constraints - contact and tied interfaces7.1 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; Chapter 8. Pseudo-rigid and rigid-flexible bodies; 8.1 Introduction; 8.2 Pseudo-rigid motions; 8.3 Rigid motions; 8.4 Connecting a rigid body to a flexible body; 8.5 Multibody coupling by joints; 8.6 Numerical examples; References; Chapter 9. Discrete element methods; 9.1 Introduction; 9.2 Early DEM formulations; 9.3 Contact detection; 9.4 Contact constraints and boundary conditions
• Sommario/riassunto: 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 of solids and structures, it is an essential book for engineers and mathematicians. The new edition is a complete solids and structures text and reference in its own right and forms part of the world-renowned Finite Element Method series by Zienkiewicz and Taylor. New material in this editi