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References 401
K Stress intensity factor for a Mode I crack
K I , K II , K III Stress intensity factors for the three fracture modes
K Ic Plane strain fracture toughness
K c Fracture toughness
K e Plastic-zone-adjusted K
K J , K IcJ Plasticity-modified K based on J
K Q Provisional fracture toughness
P c Critical (at fracture) force
P Q Force for calculating K Q
Half the estimated plastic zone size for plane strain
r oε
Half the estimated plastic zone size for plane stress
r oσ
Gross section S (based on area before cracking)
S g
t Thickness
U Potential strain energy
v Displacement
α Ratio a/b
REFERENCES
(a) General References
ANDERSON, T. L. 2005. Fracture Mechanics: Fundamentals and Applications, 3d ed., CRC Press, Boca
Raton, FL.
ASTM. 2010. Annual Book of ASTM Standards, ASTM International, West Conshohocken, PA. See: No. E399,
“Standard Test Method for Plane-Strain Fracture Toughness of Metallic Materials,” Vol. 03.01; also Nos.
E561, E1290, and E1820 in Vol. 03.01; No. D5045 in Vol. 08.02; No. D6068 in Vol. 08.03; No. C1421 in
Vol. 15.01.
BARSOM, J. M., ed. 1987. Fracture Mechanics Retrospective: Early Classic Papers (1913–1965), RPS-1,
ASTM International, West Conshohocken, PA.
BARSOM,J.M., andS.T. ROLFE. 1999. Fracture and Fatigue Control in Structures, 3d ed., ASTM
International, West Conshohocken, PA.
BROEK, D. 1988. The Practical Use of Fracture Mechanics, Kluwer Academic Pubs., Dordrecht, The
Netherlands.
HERTZBERG, R. W. 1996. Deformation and Fracture Mechanics of Engineering Materials, 4th ed., John Wiley,
New York.
JOYCE, J. A. 1996. Manual on Elastic-Plastic Fracture: Laboratory Test Procedures, ASTM Manual Series,
MNL 27, Am. Soc. for Testing and Materials, West Conshohocken, PA.
LAWN, B. 1993. Fracture of Brittle Solids, 2d ed., Cambridge University Press, Cambridge, UK.
MIEDLAR,P.C., A. P. BERENS,A. GUNDERSON,and J. P. GALLAGHER. 2002. USAF Damage Tolerant
Design Handbook: Guidelines for the Analysis and Design of Damage Tolerant Aircraft Structures,3vols.,
University of Dayton Research Institute, Dayton, OH.
MILNE,I., B. KARIHALOO,and R. O. RITCHIE, eds. 2003. Comprehensive Structural Integrity,10vols.,
Elsevier Ltd., Oxford, England.
SAXENA, A. 1998. Nonlinear Fracture Mechanics for Engineers, CRC Press, Boca Raton, FL.
WILLIAMS, J. G. 2001. Fracture Mechanics of Polymers, Ellis Horwood Ltd., Hemel Hempstead, England.