Symmetrical Dynamic Extension Problems of Mode III Interface Crack

Abstract:

By the theory of complex variable functions, symmetrical dynamic extension problems of mode Ⅲ interface crack were studied. The problems considered can be very facilely transformed into Riemann-Hilbert problem by the approaches of self-similar functions, and the general representations of analytical solutions of the stresses, displacements and dynamic stress intensity factors for the surfaces of symmetrical mode Ⅲ interface crack subjected to motive variable loadings Px4/t4 and Pt5/x4 were acquired, respectively. After those solutions were applied by superposition theorem, the solutions of arbitrary complex problems could be acquired.

• Periodical: Advanced Materials Research (Volume 485)
• Pages: 327-331
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.485.327
• Online since: February 2012
• Authors: Nian Chun Lü, Yun Hong Cheng, Jin Li Ji
• Keywords: Analytical Solution, Complex Variable Functions, Mode III Interface Crack, Self-Similar Functions, Symmetrical Dynamic Extension

References

[1] Comninou. Maria, Int. J. Stru. Mech. Mater. Sci. Vol. 1 (1980), p.249.

[2] P. J. Wei, S. Y. Zhang, Y. L. Wu etc: Int. J. Frac. Vol. 105( 2000), p.127.

[3] L. M. Brock: J. Elasticity. Vol. 4 (1974), p.51.

[4] N. C. Lü, D.N. Yang, Y. H. Cheng and J. Cheng: App. Math. Mech. Vol. 28(2007), p.501.

[5] N.C. Lü, J. Cheng, Y. H Cheng, Theo. App. Frac. Mech. Vol. 36(2001), p.219.

[6] N I Muskhelishvili: Singular integral equations (Nauka, Moscow 1968).

[7] R. F. Hoskins: Generalized functions (Ellis, Horwood, 1979).

[8] R. P. Kanwal, D. L. Sharma, J. Elasticity, Vol. 6(1976), p.405.

[9] N. C. Lü, Y. H Cheng. X. G. Li, J . Cheng,. Composite Interfaces. Vol. 17(2010), p.37.

[10] A Needleman, A. J. Rosakis, J. Mech. Phys. Solids. Vol. 47(1999), p.2411.

[11] Wu. Kuang-chong, J. Mech. Phys. Solids. Vol. 40(2003), p.1811.

[12] L. Schovanec, J. R. Walton, J. App. Mech. Vol. 55(1988), p.234.

[13] N. C. Lü, Y. H Cheng. H. L. Si, J . Cheng, Theo. App. Frac. Mech. Vol. 47(2007), p.260.

[14] N. C. Lü, J. Cheng, Y. H Cheng. Mech. Res. Commun. Vol. 32(2005), p.1.

[15] N. C. Lü, Y. H Cheng. Y. T. Wang, J . Cheng, Mech. Adv. Mater. Struct. Vol. 17(2010), p.215.

[16] N. C. Lü, Y. H Cheng. X. G. Li, J. Cheng, Fati. Frac. Eng. Mater. Struct. Vol. 33(2010), p.141.

[17] L. A. Galin, Contact problems in elasticity theory. (GITTL, Moscow 1953).

[18] Nian-Chun Lü, Xin-Gang Li, Yun-Hong Cheng, Arch. App. Mech. Vol. 81(2011), p.1181.

[19] Kuang-chong Wu, Int. J. Solids. Struct. Vol. 40(2010), p.1181.

[20] N. C. Lü, Y. H Cheng. Y. T. Wang, J . Cheng, App. Math. Model. Vol. 35(2011), p.2499.

[21] N. C. Lü, Y. H Cheng. Y. T. Wang, J . Cheng, Nonlinear Dyn. Vol. 63(2011), p.793.

[22] Lü Nian-chun, Cheng Jin, Cheng Yun-hong. App. Math. Mech. Vol. 22(2001), p.1429.