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1.

図書
図書
1. XFEM fracture analysis of composites
Soheil Mohammadi
出版情報: Chichester, West Sussex : John Wiley & Sons, 2012  xxvii, 371 p. ; 26 cm
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目次情報: 続きを見る
Preface
Nomenclature
Introduction / 1：
Composite Structures / 1.1：
Failures of Composites / 1.2：
Matrix Cracking / 1.2.1：
Delamination / 1.2.2：
Fibre/Matrix Debonding / 1.2.3：
Fibre Breakage / 1.2.4：
Macro Models of Cracking in Composites / 1.2.5：
Crack Analysis / 1.3：
Local and Non-Local Formulations / 1.3.1：
Theoretical Methods for Failure Analysis / 1.3.2：
Analytical Solutions for Composites / 1.4：
Continuum Models / 1.4.1：
Fracture Mechanics of Composites / 1.4.2：
Numerical Techniques / 1.5：
Boundary Element Method / 1.5.1：
Finite Element Method / 1.5.2：
Adaptive Finite/Discrete Element Method / 1.5.3：
Meshless Methods / 1.5.4：
Extended Finite Element Method / 1.5.5：
Extended Isogeometric Analysis / 1.5.6：
Multiscale Analysis / 1.5.7：
Scope of the Book / 1.6：
Fracture Mechanics, A Review / 2：
Basics of Elasticity / 2.1：
Stress-Strain Relations / 2.2.1：
Airy Stress Function / 2.2.2：
Complex Stress Functions / 2.2.3：
Basics of LEFM / 2.3：
Fracture Mechanics / 2.3.1：
Infinite Tensile Plate with a Circular Hole / 2.3.2：
Infinite Tensile Plate with an Elliptical Hole / 2.3.3：
Westergaard Analysis of a Line Crack / 2.3.4：
Williams Solution of a Wedge Corner / 2.3.5：
Stress Intensity Factor, K / 2.4：
Definition of the Stress Intensity Factor / 2.4.1：
Examples of Stress Intensity Factors for LEFM / 2.4.2：
Griffith Energy Theories / 2.4.3：
Mixed Mode Crack Propagation / 2.4.4：
Classical Solution Procedures for K and G / 2.5：
Displacement Extrapolation/Correlation Method / 2.5.1：
Mode I Energy Release Rate / 2.5.2：
Mode I Stiffness Derivative/Virtual Crack Model / 2.5.3：
Two Virtual Crack Extensions for Mixed Mode Cases / 2.5.4：
Single Virtual Crack Extension Based on Displacement Decomposition / 2.5.5：
Quarter Point Singular Elements / 2.6：
J Integral / 2.7：
Generalization of J / 2.7.1：
Effect of Crack Surface Traction / 2.7.2：
Effect of Body Force / 2.7.3：
Equivalent Domain Integral (EDI) Method / 2.7.4：
Interaction Integral Method / 2.7.5：
Elastoplastic Fracture Mechanics (EPFM) / 2.8：
Plastic Zone / 2.8.1：
Crack-Tip Opening Displacements (CTOD) / 2.8.2：
J Integral for EPFM / 2.8.3：
Historic Development of XFEM / 3：
A Review of XFEM Development / 3.2.1：
A Review of XFEM Composite Analysis / 3.2.2：
Enriched Approximations / 3.3：
Partition of Unity / 3.3.1：
Intrinsic and Extrinsic Enrichments / 3.3.2：
Partition of Unity Finite Element Method / 3.3.3：
MLS Enrichment / 3.3.4：
Generalized Finite Element Method / 3.3.5：
Generalized PU Enrichment / 3.3.6：
XFEM Formulation / 3.4：
Basic XFEM Approximation / 3.4.1：
Signed Distance Function / 3.4.2：
Modelling the Crack / 3.4.3：
Governing Equation / 3.4.4：
XFEM Discretization / 3.4.5：
Evaluation of Derivatives of Enrichment Functions / 3.4.6：
Selection of Nodes for Discontinuity Enrichment / 3.4.7：
Numerical Integration / 3.4.8：
XFEM Strong Discontinuity Enrichments / 3.5：
A Modified FE Shape Function / 3.5.1：
The Heaviside Function / 3.5.2：
The Sign Function / 3.5.3：
Strong Tangential Discontinuity / 3.5.4：
Crack Intersection / 3.5.5：
XFEM Weak Discontinuity Enrichments / 3.6：
XFEM Crack-Tip Enrichments / 3.7：
Isotropic Enrichment / 3.7.1：
Orthotropic Enrichment Functions / 3.7.2：
Bimaterial Enrichments / 3.7.3：
Orthotropic Bimaterial Enrichments / 3.7.4：
Dynamic Enrichment / 3.7.5：
Orthotropic Dynamic Enrichments for Moving Cracks / 3.7.6：
Bending Plates / 3.7.7：
Crack-Tip Enrichments in Shells / 3.7.8：
Electro-Mechanical Enrichment / 3.7.9：
Dislocation Enrichment / 3.7.10：
Hydraulic Fracture Enrichment / 3.7.11：
Plastic Enrichment / 3.7.12：
Viscoelastic Enrichment / 3.7.13：
Contact Corner Enrichment / 3.7.14：
Modification for Large Deformation Problems / 3.7.15：
Automatic Enrichment / 3.7.16：
Transition from Standard to Enriched Approximation / 3.8：
Linear Blending / 3.8.1：
Hierarchical Transition Domain / 3.8.2：
Tracking Moving Boundaries / 3.9：
Level Set Method / 3.9.1：
Alternative Methods / 3.9.2：
Numerical Simulations / 3.10：
A Central Crack in an Infinite Tensile Plate / 3.10.1：
An Edge Crack in a Finite Plate / 3.10.2：
Tensile Plate with a Central Inclined Crack / 3.10.3：
A Bending Plate in Fracture Mode III / 3.10.4：
Crack Propagation in a Shell / 3.10.5：
Shear Band Simulation / 3.10.6：
Fault Simulation / 3.10.7：
Sliding Contact Stress Singularity by PUFEM / 3.10.8：
Hydraulic Fracture / 3.10.9：
Dislocation Dynamics / 3.10.10：
Static Fracture Analysis of Composites / 4：
Anisotropic Elasticity / 4.1：
Elasticity Solution / 4.2.1：
Anisotropic Stress Functions / 4.2.2：
Analytical Solutions for Near Crack Tip / 4.3：
The General Solution / 4.3.1：
Special Solutions for Different Types of Composites / 4.3.2：
Orthotropic Mixed Mode Fracture / 4.4：
Energy Release Rate for Anisotropic Materials / 4.4.1：
Anisotropic Singular Elements / 4.4.2：
SIF Calculation by Interaction Integral / 4.4.3：
Orthotropic Crack Propagation Criteria / 4.4.4：
Anisotropic XFEM / 4.5：
Plate with a Crack Parallel to the Material Axis of Orthotropy / 4.5.1：
Edge Crack with Several Orientations of the Axes of Orthotropy / 4.6.2：
Inclined Edge Notched Tensile Specimen / 4.6.3：
Central Slanted Crack / 4.6.4：
An Inclined Centre Crack in a Disk Subjected to Point Loads / 4.6.5：
Crack Propagation in an Orthotropic Beam / 4.6.6：
Dynamic Fracture Analysis of Composites / 5：
Dynamic Fracture Mechanics / 5.1：
Dynamic Fracture Mechanics of Composites / 5.1.2：
Dynamic Fracture by XFEM / 5.1.3：
Analytical Solutions for Near Crack Tips in Dynamic States / 5.2：
Analytical Solution for a Propagating Crack in Isotropic Material / 5.2.1：
Asymptotic Solution for a Stationary Crack in Orthotropic Media / 5.2.2：
Analytical Solution for Near Crack Tip of a Propagating Crack in Orthotropic Material / 5.2.3：
Dynamic Stress Intensity Factors / 5.3：
Stationary and Moving Crack Dynamic Stress Intensity Factors / 5.3.1：
Dynamic Fracture Criteria / 5.3.2：
J Integral for Dynamic Problems / 5.3.3：
Domain Integral for Orthotropic Media / 5.3.4：
Interaction Integral / 5.3.5：
Crack-Axis Component of the Dynamic J Integral / 5.3.6：
Field Decomposition Technique / 5.3.7：
Dynamic XFEM / 5.4：
Dynamic Equations of Motion / 5.4.1：
XFEM Enrichment Functions / 5.4.2：
Time Integration Schemes / 5.4.4：
Plate with a Stationary Central Crack / 5.5：
Mode I Plate with an Edge Crack / 5.5.2：
Mixed Mode Edge Crack in Composite Plates / 5.5.3：
A Composite Plate with Double Edge Cracks under Impulsive Loading / 5.5.4：
Pre-Cracked Three Point Bending Beam under Impact Loading / 5.5.5：
Propagating Central Inclined Crack in a Circular Orthotropic Plate / 5.5.6：
Fracture Analysis of Functionally Graded Materials (FGMs) / 6：
Analytical Solution for Near a Crack Tip / 6.1：
Average Material Properties / 6.2.1：
Mode I Near Tip Fields in FGM Composites / 6.2.2：
Stress and Displacement Field (Similar to Homogeneous Orthotropic Composites) / 6.2.3：
Stress Intensity Factor / 6.3：
FGM Auxillary Fields / 6.3.1：
Isoparametric FGM / 6.3.4：
Crack Propagation in FGM Composites / 6.4：
Inhomogeneous XFEM / 6.5：
XFEM Approximation / 6.5.1：
Numerical Examples / 6.5.3：
Plate with a Centre Crack Parallel to the Material Gradient / 6.6.1：
Proportional FGM Plate with an Inclined Central Crack / 6.6.2：
Non-Proportional FGM Plate with a Fixed Inclined Central Crack / 6.6.3：
Rectangular Plate with an Inclined Crack (Non-Proportional Distribution) / 6.6.4：
Crack Propagation in a Four-Point FGM Beam / 6.6.5：
Delamination/Interlaminar Crack Analysis / 7：
Fracture Mechanics for Bimaterial Interface Cracks / 7.1：
Isotropic Bimaterial Interfaces / 7.2.1：
Orthotropic Bimaterial Interface Cracks / 7.2.2：
Stress Contours for a Crack between Two Dissimilar Orthotropic Materials / 7.2.3：
Stress Intensity Factors for Interlaminar Cracks / 7.3：
Delamination Propagation / 7.4：
Fracture Energy-Based Criteria / 7.4.1：
Stress-Based Criteria / 7.4.2：
Contact-Based Criteria / 7.4.3：
Bimaterial XFEM / 7.5：
XFEM Enrichment Functions for Bimaterial Problems / 7.5.1：
Discretization and Integration / 7.5.4：
Central Crack in an Infinite Bimaterial Plate / 7.6：
Isotropic-Orthotropic Bimaterial Crack / 7.6.2：
Orthotopic Double Cantilever Beam / 7.6.3：
Concrete Beams Strengthened with Fully Bonded GFRP / 7.6.4：
FRP Reinforced Concrete Cantilever Beam Subjected to Edge Loadings / 7.6.5：
Delamination of Metallic I Beams Strengthened by FRP Strips / 7.6.6：
Variable Section Beam Reinforced by FRP / 7.6.7：
New Orthotropic Frontiers / 8：
Orthotropic XIGA / 8.1：
NURBS Basis Function / 8.2.1：
XIGA Simulations / 8.2.2：
Orthotropic Dislocation Dynamics / 8.3：
Straight Dislocations in Anisotropic Materials / 8.3.1：
Edge Dislocations in Anisotropic Materials / 8.3.2：
Curve Dislocations in Anisotropic Materials / 8.3.3：
Anisotropic Dislocation XFEM / 8.3.4：
Plane Strain Anisotropic Solution / 8.3.5：
Individual Sliding Systems s1 and s2 in an Infinite Domain / 8.3.6：
Simultaneous Sliding Systems in an Infinite Domain / 8.3.7：
Other Anisotropic Applications / 8.4：
Biomechanics / 8.4.1：
Piezoelectric / 8.4.2：
References
Index
Preface
Nomenclature
Introduction / 1：
2.

図書
図書
2. 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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3.

図書
図書
3. The finite element method : its basis and fundamentals. 7th ed
O.C. Zienkiewicz, R.L. Taylor, J.Z. Zhu
出版情報: Oxford ; Tokyo : Butterworth-Heinemann, 2013  xxxviii, 714 p. ; 25 cm
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4.

図書
図書
4. Finite elements : an introduction to the method and error estimation (: hbk. ; : pbk.)
Ivo Babuška, John R. Whiteman, Theofanis Strouboulis
出版情報: Oxford : Oxford University Press, 2011  xii, 323 p. ; 26 cm
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目次情報: 続きを見る
Introduction / 1：
The finite element method / 1.1：
Mathematical model / 1.2：
Validation and verification / 1.3：
The finite element method, error analysis and estimation and its role in the processes of verification and validation / 1.4：
The purpose of this book and its layout / 1.5：
Literature / 1.6：
Formulations of the problems / 2：
One-dimensional deformation of an elastic bar and one-dimensional heat conduction / 2.1：
Classical differential equation formulation of the bar problem / 2.1.1：
The principle of virtual work and weak formulation / 2.1.2：
The principle of minimization of energy / 2.1.3：
One-dimensional heat transfer / 2.1.4：
Engineering application, one-dimensional heat-transfer problem / 2.1.5：
Two-dimensional heat-conduction problem / 2.2：
Classical partial differential equation formulation / 2.2.1：
Weak formulation / 2.2.2：
Engineering application; two-dimensional heat-transfer problem / 2.2.3：
Finite element methods / 3：
The Galerkin method / 3.1：
One-dimensional finite element method / 3.3：
The finite element method with piecewise linear functions / 3.3.1：
Implementation: one-dimensional problem with piecewise linear basis functions / 3.3.2：
Complete process for one-dimensional problem / 3.3.3：
The finite element method with piecewise quadratic functions / 3.3.4：
Engineering application: one-dimensional heat-transfer problem / 3.3.5：
Two-dimensional finite element method / 3.4：
Two benchmark problems / 3.4.1：
Engineering application: two-dimensional heat transfer-problems / 3.4.4：
Best approximation property of the finite element solutions / 3.5：
Interpolation and its error / 4：
Estimate of interpolation error on a single element in one dimension / 4.1：
Estimate of interpolation error on a single element in two dimensions / 4.2：
a priori estimates of the error of the finite element solution in the energy norm / 5：
Introduction to a priori error analysis / 5.1：
Error of the finite element solution in one dimension / 5.1.1：
Error analysis for the one-dimensional engineering problem of Section 3.3.5 / 5.1.2：
Two-dimensional problems / 5.2：
Error of the finite element solution in two dimensions / 5.2.1：
Error analysis for Benchmark Problems 1 and 2 / 5.2.2：
Error analysis for the two-dimensional heat-transfer problem; 2D Eng Problem / 5.2.3：
Functionals and superconvergence / 6：
One-dimensional problems / 6.1：
Error in the functionals in one dimension / 6.1.1：
Local character of the error and pollution / 6.1.2：
Superconvergence in one dimension / 6.1.3：
Engineering application; one-dimensional heat-transfer problem / 6.1.4：
The error in the functional / 6.2：
Local character of the error / 6.2.2：
Superconvergence in two dimensions / 6.2.3：
Engineering application: two-dimensional heat-transfer problem / 6.2.4：
a posteriori error estimates / 7：
Error indicators and estimators in one dimension / 7.1：
The Dirichlet element-based error estimator / 7.1.1：
The Neumann element-based error estimator / 7.1.2：
The performance of the Neumann element-based error estimator / 7.1.3：
The Dirichlet subdomain (patch) estimator / 7.1.4：
The Neumann subdomain (patch) estimator / 7.1.5：
The performance of the Neumann subdomain estimators for the one-dimensional engineering problems / 7.1.6：
Averaging-based error indicators and estimators / 7.1.7：
The performance of the ZZ-estimator for the one-dimensional engineering problems / 7.1.8：
The Richardson error estimator / 7.1.9：
The performance of the Richardson estimator / 7.1.10：
Error indicators and estimators in two dimensions / 7.2：
The performance of the Neumann element-based estimator / 7.2.1：
The Dirichlet subdomain (patch)"estimator / 7.2.4：
The performance of the Neumann subdomain (patch) estimator / 7.2.5：
Averaging-based indicators and estimators (ZZ) / 7.2.7：
The performance of the ZZ-estimator / 7.2.8：
The Richardson error estimator and its performance / 7.2.9：
Comparison of the various error estimates / 7.3：
The Neumann element error estimator / 7.3.1：
The Neumann subdomain error estimator / 7.3.2：
Averaging-based error estimators / 7.3.3：
a posteriori error estimations for the 2D engineering problem / 7.3.4：
The Neumann element-based estimator / 7.4.1：
Performance of the Neumann estimator / 7.4.2：
Performance of the ZZ-estimator / 7.4.3：
Performance of the Dirichlet subdomain estimator / 7.4.4：
Performance of the Richardson estimator / 7.4.5：
The performance of the a posteriori error estimators / 7.4.6：
Recommendations for approaching error estimation / 7.4.7：
a posteriori estimation of errors in the functional / 7.5：
Adaptive finite element methods / 7.6：
A note on verification
Epilogue
Appendix: A
Linear spaces, normed linear spaces, linear functionals, bilinear forms / A.1：
Linear space / A.1.1：
Normed linear space / A.1.2：
Inner product spaces / A.1.3：
Schwaxz inequality / A.1.4：
Convergence, completeness and Hilbert spaces / A.2：
Convergence / A.2.1：
Cauchy sequence / A.2.2：
Hilbert space / A.2.3：
Linear functionals and bilinear forms / A.3：
Linear functionals / A.3.1：
Bilinear forms / A.3.2：
The Lax-Milgram lemma / A.3.3：
Bibliography
Index
Introduction / 1：
The finite element method / 1.1：
Mathematical model / 1.2：
5.

図書
図書
5. Introduction to finite element vibration analysis. 2nd ed (: hardcover)
Maurice Petyt
出版情報: Cambridge : Cambridge University Press, 2010  xvi, 500 p. ; 26 cm
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Formulation of the equations of motion / 1：
Element energy functions / 2：
Introduction to the finite element displacement method / 3：
In-plane vibration of plates / 4：
Vibration of solids / 5：
Flexural vibration of plates / 6：
Vibration of stiffened plates and folded plate structures / 7：
Vibration of shells / 8：
Vibration of laminated plates and shells / 9：
Hierarchical finite element method / 10：
Analysis of free vibration / 11：
Forced response / 12：
Forced response II / 13：
Computer analysis technique / 14：
Formulation of the equations of motion / 1：
Element energy functions / 2：
Introduction to the finite element displacement method / 3：
6.

図書
図書
6. The finite element method : an introduction with partial differential equations. 2nd ed
A.J. Davies
出版情報: New York : Oxford University Press, 2011  ix, 297 p. ; 25 cm
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Historical introduction / 1：
Weighted residual and variational methods / 2：
Classification of differential operators / 2.1：
Self-adjoint positive definite operators / 2.2：
Weighted residual methods / 2.3：
Extremum formulation: homogeneous boundary conditions / 2.4：
Non-homogeneous boundary conditions / 2.5：
Partial differential equations: natural boundary conditions / 2.6：
The Rayleigh-Ritz method / 2.7：
The 'elastic analogy' for Poisson's equation / 2.8：
Variational methods for time-dependent problems / 2.9：
Exercises and solutions / 2.10：
The finite element method for elliptic problems / 3：
Difficulties associated with the application of weighted residual methods / 3.1：
Piecewise application of the Galerkin method / 3.2：
Terminology / 3.3：
Finite element idealization / 3.4：
Illustrative problem involving one independent variable / 3.5：
Finite element equations for Poisson's equation / 3.6：
A rectangular element for Poisson's equation / 3.7：
A triangular element for Poisson's equation / 3.8：
Higher-order elements: the isoparametric concept / 3.9：
A two-point boundary-value problem / 4.1：
Higher-order rectangular elements / 4.2：
Higher-order triangular elements / 4.3：
Two degrees of freedom at each node / 4.4：
Condensation of internal nodal freedoms / 4.5：
Curved boundaries and higher-order elements: isoparametric elements / 4.6：
Further topics in the finite element method / 4.7：
The variational approach / 5.1：
Collocation and least squares methods / 5.2：
Use of Galerkin's method for time-dependent and non-linear problems / 5.3：
Time-dependent problems using variational principles which are not extremal / 5.4：
The Laplace transform / 5.5：
Convergence of the finite element method / 5.6：
A one-dimensional example / 6.1：
Two-dimensional problems involving Poisson's equation / 6.2：
Isoparametric elements: numerical integration / 6.3：
Non-conforming elements: the patch test / 6.4：
Comparison with the finite difference method: stability / 6.5：
The boundary element method / 6.6：
Integral formulation of boundary-value problems / 7.1：
Boundary element idealization for Laplace's equation / 7.2：
A constant boundary element for Laplace's equation / 7.3：
A linear element for Laplace's equation / 7.4：
Time-dependent problems / 7.5：
Computational aspects / 7.6：
Pre-processor / 8.1：
Solution phase / 8.2：
Post-processor / 8.3：
Finite element method (FEM) or boundary element method (BEM)? / 8.4：
Partial differential equation models in the physical sciences / Appendix A：
Parabolic problems / A.l：
Elliptic problems / A.2：
Hyperbolic problems / A.3：
Initial and boundary conditions / A.4：
Some integral theorems of the vector calculus / Appendix B：
A formula for integrating products of area coordinates over a triangle / Appendix C：
Numerical integration formulae / Appendix D：
One-dimensional Gauss quadrature / D.l：
Two-dimensional Gauss quadrature / D.2：
Logarithmic Gauss quadrature / D.3：
Stehfest's formula and weights for numerical Laplace transform inversion / Appendix E：
References
Index
Historical introduction / 1：
Weighted residual and variational methods / 2：
Classification of differential operators / 2.1：
7.

図書
図書
7. The finite element method for fluid dynamics. 7th ed (: hbk)
O.C. Zienkiewicz, R.L. Taylor, P. Nithiarasu
出版情報: Oxford ; Tokyo : Butterworth-Heinemann, 2014  xxxvi, 544 p. ; 24 cm
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8.

図書
図書
8. Introduction to nonlinear finite element analysis
Nam-Ho Kim
出版情報: New York : Springer, c2015  xiv, 430 p. ; 25 cm
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