Abstract
A new version of the engineering method of weight functions that combines the advantages of the existing versions is suggested. It is based on finding the dependence of the opening of the crack lips on the concentrated force applied at an arbitrary point of the crack lips and makes essential use of an approximate fundamental solution for a half plane with an edge crack in a combined method of weight functions. The high accuracy and simplicity of the method are illustrated by several examples.
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References
M. J. Petroski and J. D. Achenbach, “Computation of the weight function from stress intensity factors,”Eng. Fract. Mech. 10, No. 2, 257–266 (1978).
J. R. Rice, “Some remarks on elastic crack tip fields,”Int. J. Solids Struct. 8, No. 6, 751–758 (1972).
D. Fett, “Condition for the determination of approximate COD fields,”Eng. Fract. Mech. 39, No. 5, 905–914 (1991).
A. Ya. Krasovskii, V. M. Torop, and I. V. Orynyak,Two-Criterional Diagram for Estimating the Limiting State of a Cracked Body [in Russian], Preprint, Institute of Strength Problems, Ukrainian Academy of Sciences, Kiev (1989).
I. V. Orynyak, “Construction of weight functions for plane bodies,”Probl. Prochn., No. 8, 10–14 (1990).
R. P. Ojdrovic and H. J. Petroski, “Weight functions from multiple reference states and crack profile derivatives,”Eng. Fract. Mech. 39, No. 1, 105–111 (1991).
M. P. Savruk, “Stresses near a crack in an elastic half plane,”Fiz.-Khim. Mekh. Mater. 11, No. 5, 59–64 (1975).
V. V. Panasyuk, M. P. Savruk, and A. P. Datsyshyn,Distribution of Stresses near Cracks in Plates and Shells [in Russian], Naukova Dumka, Kiev (1976).
N. I. Muskhelishvilli,Some Fundamental Problems of the Mathematical Theory of Elasticity [in Russian], Nauka, Moscow (1966).
I. V. Orynyak, “Combined weight function methods for a plane body with a crack of type I,”Eng. Fract. Mech. (in press).
V. G. Orekhov, M. L. Kagan, K. N. Belichenko, and N. A. Aniskin,Stress Intensity Factors for a Strip with a Single Crack [in Russian], Deposited at VNIIIS Gosstroya, No. 3845, Moscow Institute of Civil Engineers, Moscow (1982).
H. Tada, P. C. Paris, and G. R. Irwin,The Stress Analysis of Cracks: Handbook, Del. Research Corporation, Hellertown (1973).
Additional information
Institute of Strength Problems, Ukrainian Academy of Sciences, Kiev. Translated from Fiziko-Khimicheskaya Mekhanika Materialov, Vol. 30, No. 1, pp. 105–108, January–February, 1994.
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Orynyak, I.V., Borodii, M.V. Use of an approximate fundamental solution for a half plane with an edge crack in a combined method of weight functions. Mater Sci 30, 105–109 (1995). https://doi.org/10.1007/BF00559024
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DOI: https://doi.org/10.1007/BF00559024