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TECHNICAL PAPERS

Shape Sensitivity Analysis of Linear-Elastic Cracked Structures Under Mode-I Loading

[+] Author and Article Information
Guofeng Chen, Sharif Rahman

Department of Mechanical Engineering, The University of Iowa, Iowa City, IA 52242website: http://www.engineering.uiowa.edu/∼rahman

Young Ho Park

Department of Mechanical Engineering, New Mexico State University, Las Cruces, NM 88003

J. Pressure Vessel Technol 124(4), 476-482 (Nov 08, 2002) (7 pages) doi:10.1115/1.1486017 History: Received May 14, 2001; Revised April 15, 2002; Online November 08, 2002
Copyright © 2002 by ASME
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References

Madsen, H. O., Krenk, S., and Lind, N. C., 1986, Methods of Structural Safety, Prentice-Hall, Inc., Englewood Cliffs, NJ.
Provan, J. W., 1987, Probabilistic Fracture Mechanics and Reliability, Martinus Nijhoff Publishers, Dordrecht, The Netherlands.
Rahman,  S., 1995, “A Stochastic Model for Elastic-Plastic Fracture Analysis of Circumferential Through-Wall-Cracked Pipes Subject to Bending,” Eng. Fract. Mech., 52(2), pp. 265–288.
Rahman,  S., 2001, “Probabilistic Fracture Mechanics by J-estimation and Finite Element Methods,” Eng. Fract. Mech., 68, pp. 107–125.
Lin,  S. C., and Abel,  J., 1988, “Variational Approach for a New Direct-Integration Form of the Virtual Crack Extension Method,” Int. J. Fract., 38, pp. 217–235.
deLorenzi,  H. G., 1985, “Energy Release Rate Calculations by the Finite Element Method,” Eng. Fract. Mech., 21, pp. 129–143.
Haber,  R. B., and Koh,  H. M., 1985, “Explicit Expressions for Energy Release Rates using Virtual Crack Extensions,” Int. J. Numer. Methods Eng., 21, pp. 301–315.
Barbero,  E. J., and Reddy,  J. N., 1990, “The Jacobian Derivative Method for Three-Dimensional Fracture Mechanics,” Commun. Appl. Numer. Methods, 6, pp. 507–518.
Hwang,  C. G., Wawrzynek,  P. A., Tayebi,  A. K., and Ingraffea,  A. R., 1998, “On the Virtual Crack Extension Method for Calculation of the Rates of Energy Release Rate,” Eng. Fract. Mech., 59, pp. 521–542.
Feijóo,  R. A., Padra,  C., Saliba,  R., Taroco,  E., and Vénere,  M. J., 2000, “Shape Sensitivity Analysis for Energy Release Rate Evaluations and Its Application to the Study of Three-Dimensional Cracked Bodies,” Comput. Methods Appl. Mech. Eng., 188, pp. 649–664.
Haug, E. J., Choi, K. K., and Komkov, V., 1986, Design Sensitivity Analysis of Structural Systems, Academic Press, New York, NY.
Taroco,  E., 2000, “Shape Sensitivity Analysis in Linear Elastic Cracked Structures,” Comput. Methods Appl. Mech. Eng., 188, pp. 697–712.
ABAQUS, 1999, User’s Guide and Theoretical Manual, Version 5.8, Hibbitt, Karlsson, and Sorenson, Inc., Pawtucket, RI.
Rice,  J. R., 1968, “A Path Independent Integral and the Approximate Analysis of Strain Concentration by Notches and Cracks,” ASME J. Appl. Mech., 35, pp. 379–386.
Anderson, T. L., 1995, Fracture Mechanics: Fundamentals and Applications, Second Edition, CRC Press, Inc., Boca Raton, FL.

Figures

Grahic Jump Location
J-integral fracture parameter—(a) arbitrary contour around a crack tip; (b) inner and outer contours enclosing A
Grahic Jump Location
A flowchart for continuum sensitivity analysis of crack size
Grahic Jump Location
M(T) specimen under mode-I loading—(a) geometry and loads; (b) finite element mesh (1/4 model)
Grahic Jump Location
SE(T) specimen under mode-I loading—(a) geometry and loads; (b) finite element mesh (1/2 model)

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