Damage Assessment for 2D Multicracked Materials/Structures by Using -Integral
Publication: Journal of Engineering Mechanics
Volume 135, Issue 10
Abstract
An efficient method is presented to characterize the damage state for two-dimensional multicracked elastic solids. This method is based on the concept of a path-independent -integral, through which the surface energy associated with creation of all the cracks is evaluated. On one hand, when the cracked media are homogeneously stressed, the correspondence relation between the effective material moduli and is established. On the other hand, when the cracked solids are nonhomogeneously stressed, the effective structural stiffness is determined by using the result of . Through proper use of , the damage state of the cracked structure can be assessed both qualitatively and quantitatively.
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Acknowledgments
This work has been partially supported by the National Science Council (Grant No. UNSPECIFIEDNSC 97–2211-E-008–051) to National Central University.
References
Budiansky, B., and Rice, J. R. (1973). “Conservation laws and energy-release rates.” J. Appl. Mech., 40, 201–203.
Chang, J. H., and Chien, A. J. (2002). “Evaluation of -integral for anisotropic elastic media with multiple defects.” Int. J. Fract., 114, 267–289.
Chang, J. H., and Peng, D. J. (2004). “On the use of -integral for rubbery material problems containing multiple defects.” J. Eng. Mech., 130(5), 589–598.
Chen, Y. Z. (1995). “A survey of new integral equations in plane elasticity crack problems.” Eng. Fract. Mech., 51(1), 97–134.
Eshelby, J. D. (1957). “The determination of the elastic field of an ellipsoidal inclusion and related problems.” Proc. R. Soc. London, Ser. A, 241, 376–396.
Hertlein, B., and Davis, A. (2006). Nondestructive testing of deep foundations, Wiley, Hoboken, N.J.
Huang, Y., Chandra, A., Jiang, Z. Q., Wei, X., and Hu, K. X. (1996). “The numerical calculation of two-dimensional effective moduli for microcracked solids.” Int. J. Solids Struct., 33, 1575–1586.
Kachanov, M. (1992). “Effective elastic properties of cracked solids: Critical review of some basic concepts.” Appl. Mech. Rev., 45, 304–335.
Knowles, J. K., and Sternberg, E. (1972). “On a class of conservation laws in linearized and finite elastostatics.” Arch. Ration. Mech. Anal., 44, 187–211.
Kushch, V. I., and Sangani, A. S. (2000). “Stress intensity factor and effective stiffness of a solid containing aligned penny-shaped cracks.” Int. J. Solids Struct., 37, 6555–6570.
Long, B., Hossain, M., and Gisi, A. J. (1997). “Seasonal variation of backcalculated subgrade moduli.” Transp. Res. Rec., 1577, 70–80.
Nemat-Nasser, S., Yu, S., and Hori, M. (1993). “Solids with periodically distributed cracks.” Int. J. Solids Struct., 30, 2071–2095.
Paulino, G. H., Yin, H. M., and Sun, L. Z. (2006). “Micromechanics-based interfacial debonding model for damage of functionally graded materials with particle interactions.” Int. J. Damage Mech., 15, 267–288.
Petrova, V., Tamuzs, V., and Romalis, N. (2000). “A survey of macro-microcrack interaction problems.” Appl. Mech. Rev., 53(5), 117–146.
Shen, L., and Li, J. (2004). “A numerical simulation for effective elastic moduli of plates with various distributions and sizes of cracks.” Int. J. Solids Struct., 41, 7471–7492.
Tian, W. Y. (2004). “Microcracking damage analysis in piezoelectric bimaterial solids.” Int. J. Fatigue, 26(8), 873–888.
Tsukrov, I., and Novak, J. (2004). “Effective elastic properties of solids with two-dimensional inclusions of irregular shapes.” Int. J. Solids Struct., 41, 6905–6924.
Walpole, L. J. (1969). “On the overall elastic moduli of composite materials.” J. Mech. Phys. Solids, 17, 235–251.
Wang, D. F., and Chen, Y. H. (2002). “ -integral analysis for a two-dimensional metal/ceramic bimaterial solid with extending subinterface microcracks.” Arch. Appl. Mech., 72, 588–598.
Yin, H. M., Sun, L. Z., and Paulino, G. H. (2004). “Micromechanics-based elastic model for functionally graded materials with particle interactions.” Acta Mater., 52, 3535–3543.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 135 • Issue 10 • October 2009
Pages: 1100 - 1107
Copyright
© 2009 ASCE.
History
Received: Oct 19, 2007
Accepted: May 11, 2009
Published online: Sep 15, 2009
Published in print: Oct 2009
Notes
Note. Associate Editor: Jiun-Shyan Chen
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