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1.

図書
図書
1. Solid and fluid mechanics dynamics and non-linearity. 4th ed
O.C. Zienkiewicz and R.L. Taylor
出版情報: London ; Tokyo : McGraw-Hill, c1991  xv, 807 p. ; 24 cm
シリーズ名: The finite element method ; v. 2
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目次情報: 続きを見る
Some preliminaries: The standard discrete system
A direct approach to problems in elasticity
Generalisation of the finite element concepts - Galerkin-weighted residual and variational approaches
Plane stress and plane strain
Axisymmetric stress analysis
Three-dimensional stress analysis
Steady-state field problems - heat conduction, electric and magnetic potential, fluid flow etc.
'Standard' and `hierarchical' element shape functions: some general familiarities of C0 continuity
Mapped elements and numerical integration - `infinite' and `singularity' elements
The patch test, reduced integration and non-conforming elements
Mixed formulation and constraints - complete field methods
Incompressible problems, mixed methods and other procedures of solution
Mixed formulation and constraints - incomplete (hybrid) field methods, boundary*Trefftz methods
Errors, recovery processes and error estimates
Adaptive finite element refinement
The time dimension semi-discretisation of field and dynamic problems and analytical solution procedures
The time dimension discrete approximation in time
Coupled systems
Computer procedures for finite element analysis
Appendices
Plate and shell bending approximation: thin (Kirchoff) plates and C1 continuity requirements / VOLUME 2：
'Thick' Reissner-Mindlin plates - irreducible and mixed formulations
Shells as an assembly of flat elements
Axisymmetric shells
Introduction and the equations of fluid dynamics / Volume 3：
Convection dominated problems - finite element
A general algorithm for compressible and incompressible flows - the characteristic based split (CBS) algorithm
Incompressible laminar flow - Newtonian and non-Newtonian fluids
Free surface, buoyancy and turbulent incompressible flows
Compressible high-speed gas flow
Shallow water problems
Waves
Computer implementation of the CBS algorithm
Some preliminaries: The standard discrete system
A direct approach to problems in elasticity
Generalisation of the finite element concepts - Galerkin-weighted residual and variational approaches
2.

図書
図書
2. Basic formulation and linear problems. 4th ed
O.C. Zienkiewicz and R.L. Taylor
出版情報: London ; Tokyo : McGraw-Hill, c1989  xx, 648 p. ; 24 cm
シリーズ名: The finite element method ; v. 1
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3.

図書
図書
3. The finite element method for solid and structural mechanics. 7th ed (: hbk)
O.C. Zienkiewicz, R.L. Taylor, D.D. Fox
出版情報: Oxford ; Tokyo : Butterworth-Heinemann, 2014  xxxi, 624 p. ; 24 cm
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4.

図書
図書
4. The basis. 5th ed
O.C. Zienkiewicz, R.L. Taylor
出版情報: Oxford : Butterworth-Heinemann, 2000  xvi, 689 p., [4] p. of plates ; 26 cm
シリーズ名: The finite element method ; v. 1
所蔵情報: loading…
目次情報: 続きを見る
Some preliminaries: The standard discrete system
A direct approach to problems in elasticity
Generalization of the finite element concepts - Galerkin-weighted residual and variational approaches
Plane stress and plane strain
Axisymmetric stress analysis
Three-dimensional stress analysis
Steady-state field problems - heat conduction, electric and magnetic potential, fluid flow etc.
'Standard' and `hierarchical' element shape functions: some general familiarities of C0 continuity
Mapped elements and numerical integration - `infinite' and `singularity' elements
The patch test, reduced integration and non-conforming elements
Mixed formulation and constraints - complete field methods
Incompressible problems, mixed methods and other procedures of solution
Mixed formulation and constraints - incomplete (hybrid) field methods, boundary
Trefftz methods
Errors, recovery processes and error estimates
Adaptive finite element refinement
The time dimension - semi-discretization of field and dynamic problems and analytical solution procedures
The time dimension - discrete approximation in time
Coupled systems
Computer procedures for finite element analysis
Appendices
Some preliminaries: The standard discrete system
A direct approach to problems in elasticity
Generalization of the finite element concepts - Galerkin-weighted residual and variational approaches
5.

図書
図書
5. Solid mechanics. 5th ed
O.C. Zienkiewicz, R.L. Taylor
出版情報: Oxford : Butterworth-Heinemann, 2000  xiv, 459 p., [4] p. of plates ; 26 cm
シリーズ名: The finite element method ; v. 2
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目次情報: 続きを見る
General problems in solid mechanics
Solution of non-linear algebraic equations
Inelastic materials
Plate bending approximation
'Thick' Reissner-Mindlin plates
Shells as an assembly of flat elements
Axisymmetric shells
Shells as a special case
Semi-analytical finite element processes
Geometrically non-linear problems
Non-linear structural problems
Rigid and flexible solids
Computer procedures
Appendix: Tensor invariants
General problems in solid mechanics
Solution of non-linear algebraic equations
Inelastic materials
6.

図書
図書
6. Fluid dynamics. 5th ed
O.C. Zienkiewicz, R.L. Taylor
出版情報: Oxford : Butterworth-Heinemann, 2000  xiv, 334 p., [4] p. of plates ; 26 cm
シリーズ名: The finite element method ; v. 3
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目次情報: 続きを見る
Introduction and the equations of fluid dynamics
Convection dominated problems - finite element
A general algorithm for compressible and incompressible flows - the characteristic based split (CBS) algorithm
Incompressible laminar flow - Newtonian and non-Newtonian fluids
Free surface, buoyancy and turbulent incompressible flows
Compressible high-speed gas flow
Shallow water problems
Waves
Computer implementation of the CBS algorithm
Introduction and the equations of fluid dynamics
Convection dominated problems - finite element
A general algorithm for compressible and incompressible flows - the characteristic based split (CBS) algorithm
7.

図書
図書
7. The finite element method for solid and structural mechanics. 6th ed
O.C. Zienkiewicz, R.L. Taylor
出版情報: Oxford ; Tokyo : Elsevier Butterworth-Heinemann, 2005  xv, 631 p., [4] p. of plates ; 25 cm
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目次情報: 続きを見る
Preface
General problems in solid mechanics and non-linearity / 1：
Introduction / 1.1：
Small deformation solid mechanics problems / 1.2：
Variational forms for non-linear elasticity / 1.3：
Weak forms of governing equations / 1.4：
Concluding remarks / 1.5：
References
Galerkin method of approximation - irreducible and mixed forms / 2：
Finite element approximation - Galerkin method / 2.1：
Numerical integration - quadrature / 2.3：
Non-linear transient and steady-state problems / 2.4：
Boundary conditions: non-linear problems / 2.5：
Mixed or irreducible forms / 2.6：
Non-linear quasi-harmonic field problems / 2.7：
Typical examples of transient non-linear calculations / 2.8：
Solution of non-linear algebraic equations / 2.9：
Iterative techniques / 3.1：
General remarks - incremental and rate methods / 3.3：
Inelastic and non-linear materials / 4：
Viscoelasticity - history dependence of deformation / 4.1：
Classical time-independent plasticity theory / 4.3：
Computation of stress increments / 4.4：
Isotropic plasticity models / 4.5：
Generalized plasticity / 4.6：
Some examples of plastic computation / 4.7：
Basic formulation of creep problems / 4.8：
Viscoplasticity - a generalization / 4.9：
Some special problems of brittle materials / 4.10：
Non-uniqueness and localization in elasto-plastic deformations / 4.11：
Geometrically non-linear problems - finite deformation / 4.12：
Governing equations / 5.1：
Variational description for finite deformation / 5.3：
Two-dimensional forms / 5.4：
A three-field, mixed finite deformation formulation / 5.5：
A mixed-enhanced finite deformation formulation / 5.6：
Forces dependent on deformation - pressure loads / 5.7：
Material constitution for finite deformation / 5.8：
Isotropic elasticity / 6.1：
Isotropic viscoelasticity / 6.3：
Plasticity models / 6.4：
Incremental formulations / 6.5：
Rate constitutive models / 6.6：
Numerical examples / 6.7：
Treatment of constraints - contact and tied interfaces / 6.8：
Node-node contact: Hertzian contact / 7.1：
Tied interfaces / 7.3：
Node-surface contact / 7.4：
Surface-surface contact / 7.5：
Pseudo-rigid and rigid-flexible bodies / 7.6：
Pseudo-rigid motions / 8.1：
Rigid motions / 8.3：
Connecting a rigid body to a flexible body / 8.4：
Multibody coupling by joints / 8.5：
Discrete element methods / 8.6：
Early DEM formulations / 9.1：
Contact detection / 9.3：
Contact constraints and boundary conditions / 9.4：
Block deformability / 9.5：
Time integration for discrete element methods / 9.6：
Associated discontinuous modelling methodologies / 9.7：
Unifying aspects of discrete element methods / 9.8：
Structural mechanics problems in one dimension - rods / 9.9：
Weak (Galerkin) forms for rods / 10.1：
Finite element solution: Euler-Bernoulli rods / 10.4：
Finite element solution: Timoshenko rods / 10.5：
Forms without rotation parameters / 10.6：
Moment resisting frames / 10.7：
Plate bending approximation: thin (Kirchhoff) plates and C[subscript 1] continuity requirements / 10.8：
The plate problem: thick and thin formulations / 11.1：
Rectangular element with corner nodes (12 degrees of freedom) / 11.3：
Quadrilateral and parallelogram elements / 11.4：
Triangular element with corner nodes (9 degrees of freedom) / 11.5：
Triangular element of the simplest form (6 degrees of freedom) / 11.6：
The patch test - an analytical requirement / 11.7：
General remarks / 11.8：
Singular shape functions for the simple triangular element / 11.10：
An 18 degree-of-freedom triangular element with conforming shape functions / 11.11：
Compatible quadrilateral elements / 11.12：
Quasi-conforming elements / 11.13：
Hermitian rectangle shape function / 11.14：
The 21 and 18 degree-of-freedom triangle / 11.15：
Mixed formulations - general remarks / 11.16：
Hybrid plate elements / 11.17：
Discrete Kirchhoff constraints / 11.18：
Rotation-free elements / 11.19：
Inelastic material behaviour / 11.20：
Concluding remarks - which elements? / 11.21：
'Thick' Reissner-Mindlin plates - irreducible and mixed formulations / 12：
The irreducible formulation - reduced integration / 12.1：
Mixed formulation for thick plates / 12.3：
The patch test for plate bending elements / 12.4：
Elements with discrete collocation constraints / 12.5：
Elements with rotational bubble or enhanced modes / 12.6：
Linked interpolation - an improvement of accuracy / 12.7：
Discrete 'exact' thin plate limit / 12.8：
Performance of various 'thick' plate elements - limitations of thin plate theory / 12.9：
Concluding remarks - adaptive refinement / 12.10：
Shells as an assembly of flat elements / 13：
Stiffness of a plane element in local coordinates / 13.1：
Transformation to global coordinates and assembly of elements / 13.3：
Local direction cosines / 13.4：
'Drilling' rotational stiffness - 6 degree-of-freedom assembly / 13.5：
Elements with mid-side slope connections only / 13.6：
Choice of element / 13.7：
Practical examples / 13.8：
Curved rods and axisymmetric shells / 14：
Straight element / 14.1：
Curved elements / 14.3：
Independent slope-displacement interpolation with penalty functions (thick or thin shell formulations) / 14.4：
Shells as a special case of three-dimensional analysis - Reissner-Mindlin assumptions / 15：
Shell element with displacement and rotation parameters / 15.1：
Special case of axisymmetric, curved, thick shells / 15.3：
Special case of thick plates / 15.4：
Convergence / 15.5：
Inelastic behaviour / 15.6：
Some shell examples / 15.7：
Semi-analytical finite element processes - use of orthogonal functions and 'finite strip' methods / 15.8：
Prismatic bar / 16.1：
Thin membrane box structures / 16.3：
Plates and boxes with flexure / 16.4：
Axisymmetric solids with non-symmetrical load / 16.5：
Axisymmetric shells with non-symmetrical load / 16.6：
Non-linear structural problems - large displacement and instability / 16.7：
Large displacement theory of beams / 17.1：
Elastic stability - energy interpretation / 17.3：
Large displacement theory of thick plates / 17.4：
Large displacement theory of thin plates / 17.5：
Solution of large deflection problems / 17.6：
Shells / 17.7：
Multiscale modelling / 17.8：
Asymptotic analysis / 18.1：
Statement of the problem and assumptions / 18.3：
Formalism of the homogenization procedure / 18.4：
Global solution / 18.5：
Local approximation of the stress vector / 18.6：
Finite element analysis applied to the local problem / 18.7：
The non-linear case and bridging over several scales / 18.8：
Asymptotic homogenization at three levels: micro, meso and macro / 18.9：
Recovery of the micro description of the variables of the problem / 18.10：
Material characteristics and homogenization results / 18.11：
Multilevel procedures which use homogenization as an ingredient / 18.12：
General first-order and second-order procedures / 18.13：
Discrete-to-continuum linkage / 18.14：
Local analysis of a unit cell / 18.15：
Homogenization procedure - definition of successive yield surfaces / 18.16：
Numerically developed global self-consistent elastic-plastic constitutive law / 18.17：
Global solution and stress-recovery procedure / 18.18：
Computer procedures for finite element analysis / 18.19：
Solution of non-linear problems / 19.1：
Eigensolutions / 19.3：
Restart option / 19.4：
Isoparametric finite element approximations / 19.5：
Invariants of second-order tensors / Appendix B：
Author index
Subject index
Preface
General problems in solid mechanics and non-linearity / 1：
Introduction / 1.1：
8.

図書
図書
8. The finite element method : its basis and fundamentals. 6th ed
O.C. Zienkiewicz, R.L. Taylor, J.Z. Zhu
出版情報: Amsterdam ; Oxford ; Tokyo : Elsevier Butterworth-Heinemann, 2005  xiv, 733 p., [4] p. of plates ; 26 cm
所蔵情報: loading…
目次情報: 続きを見る
The standard discrete system and origins of the finite element method
A direct physical approach to problems in elasticity: plane stress
Generalization of finite element concepts
Element shape functions
Mapped elements and numerical integration
Linear elasticity
Field problems
Automatic mesh generation
The patch test and reduced integration
Mixed formulation and constraints
Incompressible problems, mixed methods and other procedures of solution
Multidomain mixed approximations - domain decomposition and `frame' methods
Errors, recovery processes and error estimates
Adaptive finite element refinement
Point-based and partition of unity approximations
Semi-discretization and analytical solution
Discrete approximation in time
Coupled systems
Computer procedures for finite element analysis
Appendices
The standard discrete system and origins of the finite element method
A direct physical approach to problems in elasticity: plane stress
Generalization of finite element concepts
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