Engineering Transactions, 31, 1, pp. 115-150, 1983

On the Approximate Evaluation of Interaction of Cracks in Elastic Media

M. Sokołowski
Institute of Fundamental Technological Research, Warszawa
Poland

E. Turska-Kłębek
Institute of Fundamental Technological Research, Warszawa
Poland

A method of approximate analysis is presented concerning the state of stress, and the stress intensity factors in particular, in elastic media subject to a plane state of strain and containing arbitrary arrays of cracks. In the case when ·the crack distribution is not too dense, the method proposed makes possible the determination of the required stress parameters in a manner resembling that used in solving the statically indeterminate systems of structural mechanics.

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References

M. MATCZYŃSKI, M. SOKOŁOWSKI, H. ZORSKI, in: Defects and Fracture. G. C. Sm,

H. ZORSKI [Ed.] Nijhoff Publ., London 1982.

H. ZORSKI, Arch. Mech., 18, 3, 1966.

J. D. ESHELBY, Phys. Rev., 90, 2, 1953.

J. D. ESHELBY, Solid State Phys., 3, 79, 1956.

T. A. PUCIK, Elastostatic interaction of cracks in the infinite piane, Ph, D. -Dissertation (typescript), California Institute of Technology, Pasadena 1972.

M. MATCZYNSKI, Arch. Mech., 22, 4, 1970.

M. MATCZYŃSKI, M. SOKOŁOWSKl, Arch. Mech., 34, 6, 1982.

J. R. RICE, in: Fracture, H. LIEBOWITZ [ed.] J. Acad. Press., New York and London 1968.

I. N. SNEDDON, M. LOWENGRUB, Crack problems in the classical theory of elasticity, J. Wiley, N. York-London-Sydney 1969.

A. P. PRUDNIKOV, J. BRYCKOV, O. MARJCEV, lntegraly i riady, Moskva 1981.

M. ISIDA, Met hod of Laurent series expansion for internal crack problem, in: Mechanics of Fracture I, G. C. SIH [Ed.], Noordhoff Int. Publ., Leyden 1973.