Finite element analysis of composite materials using ANSYS:
Gespeichert in:
1. Verfasser: | |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Boca Raton, FL
CRC Press
2014
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Ausgabe: | 2. ed. |
Schriftenreihe: | Composite materials
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Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis Inhaltsverzeichnis |
Beschreibung: | Literaturverz. S. 317 - 328 |
Beschreibung: | XXXI, 334 S. Ill., graph. Darst. |
ISBN: | 9781466516892 |
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300 | |a XXXI, 334 S. |b Ill., graph. Darst. | ||
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500 | |a Literaturverz. S. 317 - 328 | ||
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Datensatz im Suchindex
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adam_text | Titel: Finite element analysis of composite materials using ANSYS
Autor: Barbero, Ever J
Jahr: 2014
Contents
Series Preface xiii
Preface xv
Acknowledgments xix
List of Symbols xxi
List of Examples xxix
Errata xxxi
1 Mechanics of Orthotropic Materials 1
1.1 Lamina Coordinate System..............................................1
1.2 Displacements..............................................................1
1.3 Strain......................................................................2
1.4 Stress......................................................................4
1.5 Contracted Notation......................................................5
1.5.1 Alternate Contracted Notation..................................5
1.6 Equilibrium and Virtual Work ..........................................G
1.7 Boundary Conditions......................................................8
1.7.1 Traction Boundary Conditions..................................8
1.7.2 Free Surface Boundary Conditions..............................8
1.8 Continuity Conditions....................................................9
1.8.1 Traction Continuity..............................................9
1.8.2 Displacement Continuity..........................................9
1.9 Compatibility..............................................................10
1.10 Coordinate Transformations..............................................10
1.10.1 Stress Transformation............................................13
1.10.2 Strain Transformation............................................15
1.11 Transformation of Constitutive Equations..............................16
1.12 3D Constitutive Equations................................................17
1.12.1 Anisotropic Material..............................................18
1.12.2 Monoclinic Material..............................................19
vii
y... Finite Element Analysis of Composite Materials
1.12.3 Orthotopic Material..............................................20
1.12.4 Transversely Isotropic Material..................................22
1.12.5 Isotropic Material ................................................23
1.13 Engineering Constants....................................................2^
1.13.1 Restrictions on Engineering Constants..........................28
1.14 From 3D to Plane Stress Equations......................................29
1.15 Apparent Laminate Properties ..........................................31
Suggested Problems............................................................33
2 Introduction to Finite Element Analysis 37
2.1 Basic FEM Procedure....................................................37
2.1.1 Discretization......................................................38
2.1/2 Element Equations................................................38
2.1.3 Approximation over an Element ................................39
2.1.4 Interpolation Functions..........................................40
2.1.5 Element Equations for a Specific Problem......................42
2.1.G Assembly of Element Equations..................................43
2.1.7 Boundary Conditions ............................................44
2.1.8 Solution of the Equations........................................44
2.1.9 Solution Inside the Elements....................................44
2.1.10 Derived Results....................................................45
2.2 General Finite Element Procedure......................................45
2.3 Solid Modeling, Analysis, and Visualization............................49
2.3.1 Model Geometry..................................................49
2.3.2 Material and Section Properties..................................52
2.3.3 Assembly..........................................................53
2.3.4 Solution Steps ....................................................54
2.3.5 Loads..............................................................54
2.3.G Boundary Conditions ............................................54
2.3.7 Meshing and Element Type......................................56
2.3.8 Solution Phase....................................................56
2.3.9 Post-Processing and Visualization ..............................56
Suggested Problems............................................................61
3 Elasticity and Strength of Laminates 63
3.1 Kinematics of Shells.................................... .64
3.1.1 First-Order Shear Deformation Theory..........................65
3.1.2 Kirchhoff Theory............................Q9
3.2 Finite Element Analysis of Laminates ..................................71
3.2.1 Element Types............................73
3.2.2 Sandwich Shells..................................74
3.2.3 Nodes and Curvature......................74
3.2.4 Drilling Rotation........................74
3.2.5 A-B-D-H Input Data for Laminate FEA........................74
3.2.6 Equivalent Orthotopic Input for Laminate FEA..............77
Table of Contents ix
3.2.7 LSS for Multidirectional Laminate FEA........................82
3.2.8 FEA of Ply Drop-Off Laminates................................83
3.2.9 FEA of Sandwich Shells..........................................87
3.2.10 Element Coordinate System......................................88
3.2.11 Constraints........................................................94
3.3 Failure Criteria..............................100
3.3.1 2D Failure Criteria........................101
3.3.2 3D Failure Criteria........................103
Suggested Problems..............................110
4 Buckling 113
4.1 Eigenvalue Buckling Analysis......................113
4.1.1 Imperfection Sensitivity.....................120
4.1.2 Asymmetric Bifurcation.....................121
4.1.3 Post-Critical Path........................121
4.2 Continuation Methods..........................126
Suggested Problems..............................130
5 Free Edge Stresses 133
5.1 Poisson s Mismatch............................134
5.1.1 Interlaminar Force........................134
5.1.2 Interlaminar Moment ......................135
5.2 Coefficient of Mutual Influence.....................141
5.2.1 Interlaminar Stress due to Mutual Influence..........143
Suggested Problems..............................147
6 Computational Micromechanics 151
6.1 Analytical Homogenization .......................152
6.1.1 Reuss Model...........................152
6.1.2 Voigt Model............................153
6.1.3 Periodic Microstructure Model.................153
6.1.4 Transversely Isotropic Averaging................154
6.2 Numerical Homogenization .......................157
6.3 Global-Local Analysis..........................172
6.4 Laminated RVE..............................175
Suggested Problems..............................178
7 Viscoelasticity 179
7.1 Viscoelastic Models............................181
7.1.1 Maxwell Model..........................181
7.1.2 Kelvin Model...........................182
7.1.3 Standard Linear Solid......................183
7.1.4 Maxwell-Kelvin Model......................183
7.1.5 Power Law............................184
7.1.6 Prony Series ...........................184
X
Finite Element Analysis of Composite Materials
7.1.7 Standard Nonlinear Solid....................
7.1.8 Nonlinear Power Law ......................
7.2 Boltzinanii Superposition........................
7.2.1 Linear Viscoelastic Material...................
7 2 2 Unaging Viscoelastic Material..................189
1 QQ
7.3 Correspondence Principle........................
7.4 Frequency Domain............................
7.5 Spectrum Representation........................
7.6 Micromcchanics of Viscoelastic Composites..............192
7.6.1 One-Dimensional Case......................192
7.6.2 Thrce-Dimensional Case.....................193
7.7 Macromechanics of Viscoelastic Composites..............197
7.7.1 Balanced Symmetric Laminates.................197
7.7.2 General Laminates........................197
7.8 FEA of Viscoelastic Composites.....................198
Suggested Problems..............................204
8 Continuum Damage Mechanics 207
8.1 One-Dimensional Damage Mechanics..................208
8.1.1 Damage Variable.........................208
8.1.2 Damage Threshold and Activation Function..........210
8.1.3 Kinetic Equation.........................211
8.1.4 Statistical Interpretation of the Kinetic Equation.......212
8.1.5 One-Dimensional Random-Strength Model ..........213
8.1.G Fiber Direction, Tension Damage................218
8.1.7 Fiber Direction, Compression Damage.............222
8.2 Multidimensional Damage and Effective Spaces............226
8.3 Thermodynamics Formulation......................228
8.3.1 First Law.............................228
8.3.2 Second Law............................230
8.4 Kinetic Law in Three-Dimensional Space................235
8.4.1 Return-Mapping Algorithm...................238
8.5 Damage and Plasticity..........................244
Suggested Problems..............................245
9 Discrete Damage Mechanics 249
9.1 Overview .................................250
9.2 Approximations..............................254
9.3 Lamina Constitutive Equation .....................256
9.4 Displacement Field............................256
9.4.1 Boundary Conditions for AT = 0................258
9.4.2 Boundary Conditions for AT ^ 0................259
9.5 Degraded Laminate Stiffness and CTE.................260
9.6 Degraded Lamina Stiffness.................. t _ 261
9.7 Fracture Energy ..............................262
Table of Contents xi
9.8 Solution Algorithm............................263
9.8.1 Lamina Iterations ........................263
9.8.2 Laminate Iterations .......................264
Suggested Problems..............................271
10 Delaminations 273
10.1 Cohesive Zone Method..........................276
10.1.1 Single Mode Cohesive Model..................278
10.1.2 Mixed Mode Cohesive Model..................281
10.2 Virtual Crack Closure Technique....................290
Suggested Problems..............................295
A Tensor Algebra 297
A.l Principal Directions of Stress and Strain................297
A.2 Tensor Symmetry.............................297
A.3 Matrix Representation of a Tensor...................298
A.4 Double Contraction............................299
A.5 Tensor Inversion.............................299
A.6 Tensor Differentiation..........................300
A.6.1 Derivative of a Tensor......................300
A.6.2 Derivative of the Inverse of a Tensor..............301
B Second-Order Diagonal Damage Models 303
B.l Effective and Damaged Spaces .....................303
B.2 Thermodynamic Force Y ........................304
B.3 Damage Surface..............................306
B.4 Unrecoverable-Strain Surface......................307
C Software Used 309
C.l ANSYS Mechanical APDL........................309
C.l.l ANSYS USERMAT, Compilation and Execution.......311
C.2 BMI3 ...................................314
C.2.1 Stand-Alone BMI3........................314
C.2.2 BMI3 within ANSYS.......................314
References 317
Index 329
|
any_adam_object | 1 |
author | Barbero, Ever J. |
author_GND | (DE-588)1031884157 |
author_facet | Barbero, Ever J. |
author_role | aut |
author_sort | Barbero, Ever J. |
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dewey-ones | 620 - Engineering and allied operations |
dewey-raw | 620.1180151825 |
dewey-search | 620.1180151825 |
dewey-sort | 3620.1180151825 |
dewey-tens | 620 - Engineering and allied operations |
discipline | Physik Werkstoffwissenschaften Werkstoffwissenschaften / Fertigungstechnik |
edition | 2. ed. |
format | Book |
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spelling | Barbero, Ever J. Verfasser (DE-588)1031884157 aut Finite element analysis of composite materials using ANSYS Ever J. Barbero 2. ed. Boca Raton, FL CRC Press 2014 XXXI, 334 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Composite materials Literaturverz. S. 317 - 328 ANSYS (DE-588)4211838-4 gnd rswk-swf Verbundwerkstoff (DE-588)4062670-2 gnd rswk-swf Finite-Elemente-Methode (DE-588)4017233-8 gnd rswk-swf Composite materials Mathematical models Finite element method ANSYS (Computer system) Finite-Elemente-Methode (DE-588)4017233-8 s Verbundwerkstoff (DE-588)4062670-2 s ANSYS (DE-588)4211838-4 s DE-604 DE-601 pdf/application http://www.gbv.de/dms/bowker/toc/9781466516892.pdf Inhaltsverzeichnis HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027369050&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Barbero, Ever J. Finite element analysis of composite materials using ANSYS ANSYS (DE-588)4211838-4 gnd Verbundwerkstoff (DE-588)4062670-2 gnd Finite-Elemente-Methode (DE-588)4017233-8 gnd |
subject_GND | (DE-588)4211838-4 (DE-588)4062670-2 (DE-588)4017233-8 |
title | Finite element analysis of composite materials using ANSYS |
title_auth | Finite element analysis of composite materials using ANSYS |
title_exact_search | Finite element analysis of composite materials using ANSYS |
title_full | Finite element analysis of composite materials using ANSYS Ever J. Barbero |
title_fullStr | Finite element analysis of composite materials using ANSYS Ever J. Barbero |
title_full_unstemmed | Finite element analysis of composite materials using ANSYS Ever J. Barbero |
title_short | Finite element analysis of composite materials using ANSYS |
title_sort | finite element analysis of composite materials using ansys |
topic | ANSYS (DE-588)4211838-4 gnd Verbundwerkstoff (DE-588)4062670-2 gnd Finite-Elemente-Methode (DE-588)4017233-8 gnd |
topic_facet | ANSYS Verbundwerkstoff Finite-Elemente-Methode |
url | http://www.gbv.de/dms/bowker/toc/9781466516892.pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027369050&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
work_keys_str_mv | AT barberoeverj finiteelementanalysisofcompositematerialsusingansys |
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