Page 20 - T. Anderson-Fracture Mechanics - Fundamentals and Applns.-CRC (2005)

1656_FM.fm Page xviii Tuesday, May 3, 2005 5:49 PM

11.5 Corrosion Fatigue................................................................................................................538
11.5.1 Time-Dependent and Cycle-Dependent Behavior................................................538
11.5.2 Typical Data ..........................................................................................................541
11.5.3 Mechanisms...........................................................................................................543
11.5.3.1 Film Rupture Models ...........................................................................544
11.5.3.2 Hydrogen Environment Embrittlement................................................544
11.5.3.3 Surface Films........................................................................................544
11.5.4 The Effect of Corrosion Product Wedging on Fatigue.........................................544
11.6 Experimental Methods........................................................................................................545
11.6.1 Tests on Smooth Specimens .................................................................................546
11.6.2 Fracture Mechanics Test Methods ........................................................................547
References ......................................................................................................................................552
Chapter 12
Computational Fracture Mechanics...............................................................................................553
12.1 Overview of Numerical Methods .......................................................................................553
12.1.1 The Finite Element Method..................................................................................554
12.1.2 The Boundary Integral Equation Method.............................................................556
12.2 Traditional Methods in Computational Fracture Mechanics .............................................558
12.2.1 Stress and Displacement Matching.......................................................................558
12.2.2 Elemental Crack Advance.....................................................................................559
12.2.3 Contour Integration ...............................................................................................560
12.2.4 Virtual Crack Extension: Stiffness Derivative Formulation.................................560
12.2.5 Virtual Crack Extension: Continuum Approach...................................................561
12.3 The Energy Domain Integral..............................................................................................563
12.3.1 Theoretical Background........................................................................................563
12.3.2 Generalization to Three Dimensions ....................................................................566
12.3.3 Finite Element Implementation.............................................................................568
12.4 Mesh Design .......................................................................................................................570
12.5 Linear Elastic Convergence Study .....................................................................................577
12.6 Analysis of Growing Cracks ..............................................................................................585
Appendix 12: Properties of Singularity Elements......................................................................587
A12.1 Quadrilateral Element.............................................................................587
A12.2 Triangular Element .................................................................................589
References ......................................................................................................................................590
Chapter 13
Practice Problems...........................................................................................................................593
13.1 Chapter 1.............................................................................................................................593
13.2 Chapter 2.............................................................................................................................593
13.3 Chapter 3.............................................................................................................................596
13.4 Chapter 4.............................................................................................................................598
13.5 Chapter 5.............................................................................................................................599
13.6 Chapter 6.............................................................................................................................600
13.7 Chapter 7.............................................................................................................................600
13.8 Chapter 8.............................................................................................................................603
13.9 Chapter 9.............................................................................................................................605
13.10 Chapter 10 ..........................................................................................................................607
13.11 Chapter 11 ..........................................................................................................................608
13.12 Chapter 12 ..........................................................................................................................609
Index ..............................................................................................................................................611