Engineering Transactions, 16, 4, pp. 527-543, 1968

Zniszczenie kruche prętów mimośrodowo rozciąganych przy uwzględnieniu pełzania ustalonego

M. Chrzanowski
Katedra Statyki Budowli i Wytrzymałości Materiałów Politechniki Krakowskiej

The time of arising initial fractures in a prismatic rod has been determined on the basis of the brittle failure hypothesis proposed by L. M. Kachanov. The rod is loaded with axial force and bending moment. The rod cross-section has only one axis of symmetry. The relation given by F.K. G. Odquist which described a steady creep has been applied as a physical law. Power series has been used to solve the fundamental set of integral equations of statics. These series describe both the stress distribution and the contour of the rod cross-section.
The solution thus obtained required an additional interpolation which has been performed on the basis of the formulae given in [12]. The problem has been also solved on a digital computer and these computations allowed to compare the analytical approximate solutions. A numerical example is given for the stretched rod of triangular cross-section. The calculations has been performed both on the basis of derived formulae and using digital computer.

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


M. CHRZANOWSKI, Czas zniszczenia pręta rozciąganego przy małym mimośrodzie, Czasopismo Techn., z. 9-B (111), 1967.

M. CHRZANOWSKI, Zniszczenie kruche 1p warunkach pełzania ustalonego przy jednoosiowym niejednorodnym stanie naprężenia, Dysertacja doktorska, Politechnika Krakowska, 1967.

M. CHRZANOWSKI, Pewne problemy zniszczenia kruchego prętów zginanych w warunkach pełzania ustalonego, Czasopismo Techn., w druku.

[in Russian]

[in Russian]

[in Russian]

F.K. G. ODQVIST, Engineering Theories of Metallic Creep, Symposium su la Plasticita nell Scienza delle Construzioni, Varenna, Settembre 1956.

F.K. G. ODQVIST, Mathematical Theory of Creep and Creep Rupture, Oxford 1966.

S. PIECHNIK, Combined Tension Bending Creep for a Solid Bar, Transactions of the Royal Institute of Technology, Stockholm, Ne 194, 1962.

[in Russian]

E. L. ROBINSON, Effect of Temperature Variation on the Longtime Rupture Strength of Steels, Trans. ASME, 74, Nr 5, 1952.

M. ŻYCZKOWSKI, Obliczanie sil krytycznych dla sprężystych prętów niepryzmatycznych metodą interpolacji częściowej, Rozprawy Inżynierskie, 3, 4, 1956.