Dynamic Propagation of Mode III: Crack Concerning Surfaces Subjected to Variable Moving Concentrated Loads

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Abstract:

Asymmetric dynamic propagation of mode III: crack under variable moving loads on the crack surface is investigated using the theory of complex functions. Using the approach of self-similar function, the problems are readily transformed into Riemann-Hilbert problems. The paper presents a new mechanical model for dynamic crack propagation, in which the crack is under the conditions that the variable concentrated loads Pt3/x2 and Pt/x move along x-axial with velocity β. And then, analytical solutions of stress, displacement and stress intensity factors are attained, respectively. These solutions are utilizable to attain solutions of arbitrarily complex problems, using the superposition theorem

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Advanced Materials Research (Volumes 139-141)

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2312-2315

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October 2010

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© 2010 Trans Tech Publications Ltd. All Rights Reserved

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[1] A. C. Erigen and E. S. Suhubi: Elastodynamics Vol. 2. Linear Theory. (Academic Press, New York, San Francisco, London, 1975).

Google Scholar

[2] G. C. SIH: Mechanics of Fracture 1. Methods of analysis and solutions of crack problems, (Leyden, Noordhoff, 1977).

Google Scholar

[3] T. Y. Fan: Quotation of fracture dynamics. (Publisher of Beijing Science and Technology, Beijing, 1990(inChinese).

Google Scholar

[4] G. C Sih: Int. J. Frac. Vol. 1(1968) No. 1, pp.51-68.

Google Scholar

[5] N. C. Lv, Y. H. Cheng, X. G, Li and J. Cheng: App. Math. Mech. Vol. 29(2008) No. 10, pp.1279-1290.

Google Scholar

[6] K. B. Broberg: Arch. Fur. Fysik. Vol. 18(1960) No. 1, pp.159-192.

Google Scholar

[7] G.C. Sih and B. MacDonald: Eng. Frac. Mech., Vol. 6(1974) No. 2, pp.361-386.

Google Scholar

[8] G.C. Sih: Mechanics of fracture initiation and propagation. (Kluwer Academic Publisher, Boston, 1991).

Google Scholar

[9] N. C. Lv, J. Cheng and Y. H. Cheng: Theo. Appl. Frac. Mech. Vol. 36(2001), pp.219-231.

Google Scholar

[10] C Rubin-Gonzalea and J J. Mason: J. Mech. Phys. Sol. Vol. 48(2000) No. 5, pp.889-925.

Google Scholar

[11] K. C. WU: Int. J. Frac. Vol. 106(2000) No. 1, pp.1-12.

Google Scholar

[12] N. C. Lv, D. N. Yang, Y. H. Cheng and J. Cheng: Appl. Math. Mech., Vol. 28(2007) No. 4, pp.501-510.

Google Scholar

[13] N. I. Muskhelishvili: Singular Integral Equations. (Nauka, Moscow, 1968).

Google Scholar