Strength of Materials

, Volume 30, Issue 1, pp 89–100 | Cite as

Method of translations for an elliptical mode i crack in an infinite body. Part 2. Expansion of the fundamental solution in a series

  • I. V. Orynyak
Scientific And Technical Section


We consider the results, important for practical calculations, obtained by applying the theory (developed in Part I) of translations of cracks in nonuniform stress fields to the analysis of the behavior of elliptical cracks in infinite bodies. On the basis of the method of weight functions, we suggest a general procedure for finding the terms of the decomposition of the weight function and the fundamental solution of the theory of elasticity. This is of great practical importance for the elastic analysis of finite bodies with cracks in the form of ellipses or their parts.


Weight Function Stress Intensity Factor Fundamental Solution Concentrate Force Elliptical Crack 
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© Plenum Publishing Corporation 1998

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  • I. V. Orynyak

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