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The finite element method for solid and structural mechanics / by Olek C. Zienkiewicz, Robert L. Taylor, David A. Fox

データ種別 電子ブック
著者標目 *Zienkiewicz, O. C. author
Taylor, Robert L. (Robert Leroy), 1934- author
Fox, David author
出版者 Oxford : Butterworth-Heinemann
出版年 2014

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EB006672

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Seventh edition
巻次 electronic bk. ; ISBN:9780080951362
electronic bk. ; ISBN:0080951368
XISBN:9781856176347
XISBN:1856176347
大きさ 1 online resource (xxxi, 624 pages) : illustrations
内容注記 Machine generated contents note: 1.1.Introduction
1.2.Small deformation solid mechanics problems
1.2.1.Strong form of equation: Indicial notation
1.2.2.Matrix notation
1.2.3.Two-dimensional problems
1.3.Variational forms for nonlinear elasticity
1.4.Weak forms of governing equations
1.4.1.Weak form for equilibrium equation
1.5.Concluding remarks
References
2.1.Introduction
2.2.Finite element approximation: Galerkin method
2.2.1.Displacement approximation
2.2.2.Derivatives
2.2.3.Strain-displacement equations
2.2.4.Weak form
2.2.5.Irreducible displacement method
2.3.Numerical integration: Quadrature
2.3.1.Volume integrals
2.3.2.Surface integrals
2.4.Nonlinear transient and steady-state problems
2.4.1.Explicit Newmark method
2.4.2.Implicit Newmark method
2.4.3.Generalized midpoint implicit form
2.5.Boundary conditions: Nonlinear problems
2.5.1.Displacement condition
2.5.2.Traction condition
2.5.3.Mixed displacement/traction condition
2.6.Mixed or irreducible forms
2.6.1.Deviatoric and mean stress and strain components
2.6.2.A three-field mixed method for general constitutive models
2.6.3.Local approximation of p and u
2.6.4.Continuous u-p approximation
2.7.Nonlinear quasi-harmonic field problems
2.8.Typical examples of transient nonlinear calculations
2.8.1.Transient heat conduction
2.8.2.Structural dynamics
2.8.3.Earthquake response of soil structures
2.9.Concluding remarks
References
3.1.Introduction
3.2.Iterative techniques
3.2.1.General remarks
3.2.2.Newton's method
3.2.3.Modified Newton's method
3.2.4.Incremental-secant or quasi-Newton methods
3.2.5.Line search procedures: Acceleration of convergence
3.2.6."Softening" behavior and displacement control
3.2.7.Convergence criteria
3.3.General remarks: Incremental and rate methods
References
4.1.Introduction
4.2.Tensor to matrix representation
4.3.Viscoelasticity: History dependence of deformation
4.3.1.Linear models for viscoelasticity
4.3.2.Isotropic models
4.3.3.Solution by analogies
4.4.Classical time-independent plasticity theory
4.4.1.Yield functions
4.4.2.Flow rule (normality principle)
4.4.3.Hardening/softening rules
4.4.4.Plastic stress-strain relations
4.5.Computation of stress increments
4.5.1.Explicit methods
4.5.2.Implicit methods: Return map algorithm
4.6.Isotropic plasticity models
4.6.1.Isotropic yield surfaces
4.6.2.J2 model with isotropic and kinematic hardening (Prandtl-Reuss equations)
4.6.3.Plane stress
4.7.Generalized plasticity
4.7.1.Nonassociative case: Frictional materials
4.7.2.Associative case: J2 generalized plasticity
4.8.Some examples of plastic computation
4.8.1.Perforated plate: Plane stress solutions
4.8.2.Perforated plate: Plane strain solutions
4.8.3.Steel pressure vessel
4.9.Basic formulation of creep problems
4.9.1.Fully explicit solutions
4.10.Viscoplasticity: A generalization
4.10.1.General remarks
4.10.2.Implicit solution
4.10.3.Creep of metals
4.10.4.Soil mechanics applications
4.11.Some special problems of brittle materials
4.11.1.The no-tension material
4.11.2."Laminar" material and joint elements
4.12.Nonuniqueness and localization in elasto-plastic deformations
4.13.Nonlinear quasi-harmonic field problems
4.14.Concluding remarks
References
5.1.Introduction
5.2.Governing equations
5.2.1.Kinematics and deformation
5.2.2.Stress and traction for reference and deformed states
5.2.3.Equilibrium equations
5.2.4.Boundary conditions
5.2.5.Initial conditions
5.2.6.Constitutive equations: Hyperelastic material
5.3.Variational description for finite deformation
5.3.1.Reference configuration formulation
5.3.2.First Piola-Kirchhoff formulation
5.3.3.Current configuration formulation
5.4.Two-dimensional forms
5.4.1.Plane strain
5.4.2.Plane stress
5.4.3.Axisymmetric with torsion
5.5.A three-field, mixed finite deformation formulation
5.5.1.Finite element equations: Matrix notation
5.6.Forces dependent on deformation: Pressure loads
5.7.Concluding remarks
References
6.1.Introduction
6.2.Isotropic elasticity
6.2.1.Isotropic elasticity: Formulation in invariants
6.2.2.Isotropic elasticity: Formulation in modified invariants
6.2.3.Isotropic elasticity: Formulation in principal stretches
6.2.4.Plane stress applications
6.3.Isotropic viscoelasticity
6.4.Plasticity models
6.5.Incremental formulations
6.6.Rate constitutive models
6.7.Numerical examples
6.7.1.Necking of circular bar
6.7.2.Adaptive refinement and localization (slip-line) capture
6.8.Concluding remarks
References
7.1.Introduction
7.2.Coupling between scales
一般注記 Includes bibliographical references and indexes
The Finite Element Method for Solid and Structural Mechanics is the key text and reference for engineers, researchers and senior students dealing with the analysis and modeling of structures, from large civil engineering projects such as dams to aircraft structures and small engineered components. This edition brings a thorough update and rearrangement of the book's content, including new chapters on: Material constitution using representative volume elements Differential geometry and calculus on manifolds Background mathematics and linear shell theory Focusing on the core knowledge, mathematical and analytical tools needed for successful structural analysis and modeling, The Finite Element Method for Solid and Structural Mechanics is the authoritative resource of choice for graduate level students, researchers and professional engineers. A proven keystone reference in the library of any engineer needing to apply the finite element method to solid mechanics and structural design. Founded by an influential pio
件 名 LCSH:Continuum mechanics -- Mathematics  全ての件名で検索
LCSH:Structural analysis (Engineering) -- Mathematics  全ての件名で検索
LCSH:Finite element method
FREE:TECHNOLOGY & ENGINEERING / Engineering (General)
FREE:TECHNOLOGY & ENGINEERING / Reference
FREE:Electronic books
LCSH:Electronic books
分 類 DC23:620.1050151825
書誌ID OB00006674
ISBN 9780080951362
NCID LB40010884

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