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Loss of stability, characteristic length, and Novozhilov-Neuber criterion in fracture mechanics

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Abstract

The present paper presents a summary of results in fracture mechanics obtained using the fundamental propositions put forward by V. V. Novozhilov in 1969. Namely, fracture is treated as loss of stability, the role of a structural parameter having the dimension of length is emphasized, and the importance of the Novozhilov-Neuber force criterion is stressed; this criterion allows obtaining simple and far-reaching generalizations. The main attention is paid to the results obtained by the author either in collaboration with Professor Novozhilov or as a result of close communication with him for almost two decades. The force treatment of the strict stability condition, which implies using a linear softening in the crack tip region, and the estimate of the maximal speed of crack propagation, based on a structural-time criterion, are performed for the first time.

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Authors and Affiliations

  1. Institute for Problems in Mechanical Engineering, Russian Academy of Sciences, Bol’shoy pr-t 61, V.O., St. Petersburg, 199178, Russia

    A. M. Lin’kov

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  1. A. M. Lin’kov
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Original Russian Text © A.M. Lin’kov, 2010, published in Izvestiya Akademii Nauk. Mekhanika Tverdogo Tela, 2010, No. 6, pp. 98–111.

To the memory of Teacher and Friend

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Lin’kov, A.M. Loss of stability, characteristic length, and Novozhilov-Neuber criterion in fracture mechanics. Mech. Solids 45, 844–855 (2010). https://doi.org/10.3103/S0025654410060087

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