Engineering Transactions, 18, 4, pp. 514-530, 1970

Pełzanie Półpłaszczyzny przy Mieszanych Warunkach Brzegowych

Z. Piekarski
Politechnika Krakowska
Poland

G. Szefer
Politechnika Krakowska
Poland

Considered here is the problem of a half-plane made of visco-elastic material subjected to the Arutunian theory of ageing, at mixed boundary conditions corresponding to Griffith's crack. By
means of the Fourier integral transformation and elements of the theory of distribution, the problem has been reduced to a set of integral equations for which the exact closed solution is given.

In particular, the displacements are determined in a portion of the slit, yielding an interesting result that expresses the creeping of this part of the boundary as the product of elastic displacement and the creep function.

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Copyright © Polish Academy of Sciences & Institute of Fundamental Technological Research (IPPT PAN).

References

H. X. Арутунян, Некоторые вопросы теории ползучести, Москва—Ленинград 1952.

G. A. C. GRAHAM, Two extending crack problems in linear visco-elasticity theory, North Carolina State University, Raleigh 1966.

Я.С, Градштейни Я. M. Рыжик, Таблицы интегралов, сумм, рядов и произведений, Москва - 1962.