Abstract
The energy release rate (ERR) of crack growth as the energy change at the same time t between the two states of the structure is redefined, one is with crack length a under the loading σ(t), the other is the state with crack length a+Δa under the same loading condition. Thus the defined energy release rate corresponds to the released energy when a crack grows from a to a+Δa in an infinitesimal time. It is found that under a given loading history, the ERR is a function of time, and its maximum value should correspond with the critical state for delamination to propagate. Following William's work, the explicit expressions of ERR for DCB experimental configurations to measure the interfacial fracture toughness have been obtained through the classical beam assumption.
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References
Watson K A, Liechtl K M. Adhesion measurements of printed wiring board assemblies[A]. In: J C Suhling Ed.Applications of Experimental Mechanics to Electronic Packaging[C], ASME Press, 1995.
Nguyen L T, Chen A S, Lo R Y. Interfacial integrity in electronic packaging[J].Application of Fracture Mechanics in Electronic Packaging and Materials, EEP-Vol 11/MD-Vol 64, ASME, 1995. 34–44.
Christensen R M. A rate-dependent criterion for crack growth[J].International Journal of Fracture, 1979,15(3):3–12.
Christensen R M.Theory of Viscoelasticity, an Introduction[M]. Second Edition. New York: Academic Press, Inc, 1982.
Schapery R A. A theory of crack initiation and growth in viscoelastic media I: Theoretical development[J].International Journal of Fracture, 1975,11(1):141–159.
Knauss W G, Dietmann H. Crack propagation under variable load histories in linearly viscoelastic solids[J].Internat J Engng Sci, 1970,8:643–656.
Knauss W G, Delayed failure-the Griffith problem for linearly viscoelastic materials[J].International Journal of Fracture Mechanics, 1970,6(1):7–20.
Wnuk M P. Subcritical growth of fracture (inelastic fatigue)[J].International Journal of Fracture Mechanics, 1971,7(4):383–407.
Liang R Y, Zhou J. Energy based approach for crack initiation and propagation in viscoelastic solid [J].Engineering Fracture Mechanics, 1997,58(1/2):71–85.
Frassine R, Ring M, Leggio A, et al. Experimental analysis of viscoelastic criteria for crack initiation and growth in polymers[J].International Journal of Fracture, 1996,81(1):55–75.
Alfrey T. Non-homogeneous stresses in viscoelastic media[J].Quarterly Applied Mathematics, 1944,2(113):113–119.
Sills L B, Benvensite Y. Steady state propagation of a mode 3 interface crack in an inhomogenous viscoelastic media[J].Internat J Engng Sci, 1981,19(6):1255–1268.
Ryvkin M, Banks-Sills L. Mode III delamination of a viscoelastic strip from a dissimilar viscoelastic half-plane[J].Internal J Solids and Structures, 1994,31:551–566.
Williams J G. On the calculation of energy release rates for cracked laminates[J].International Journal of Fracture, 1988,36(2):101–119.
Huet C. Minimum theorem for viscoelasticity[J].Eur J Mech A/Solids, 1992,11(5):653–684.
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Contributed by WANG Biao
Foundation items: the National Natural Science Foundation of China (50232030, 10172030); the Natural Science Foundation of Heilongjiang Province.
Biography: LIU Yu-lan (1962-), Doctor E-mail: myliu51@hotmail.com
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Yu-lan, L., Biao, W. & Dian-fu, W. On the calculation of energy release rate for viscoelastic cracked laminates. Appl Math Mech 24, 14–21 (2003). https://doi.org/10.1007/BF02439372
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DOI: https://doi.org/10.1007/BF02439372