Abstract:
Conditions of fracture of the local strain energy density, which were first formulated by Sih for a sharp V-notch with an arbitrary tip angle, are proposed. The edges of the considered V-notch are free from loading. If loading schemes of type I and type II are used, it is shown that the known brittle fracture conditions proposed by Sih contradict one of the basic postulates in fracture mechanics: the greater the intensity of stresses or elastic energy near the V-notch tip, the greater the probability of crack propagation. The proposed new conditions of fracture (in a polar coordinate system) are obtained as a result of independent determination of the energy densities of changes in volume and shape. In this case, the above-mentioned contradiction is eliminated.
Keywords:
V-notch, strain energy density, loading schemes of type I and type II, crack propagation direction, local fracture criterion.
Citation:
Yu. N. Ovcharenko, “Local strain energy density near sharp v-notches in plates”, Prikl. Mekh. Tekh. Fiz., 54:6 (2013), 161–169; J. Appl. Mech. Tech. Phys., 54:6 (2013), 1003–1010
\Bibitem{Ovc13}
\by Yu.~N.~Ovcharenko
\paper Local strain energy density near sharp v-notches in plates
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2013
\vol 54
\issue 6
\pages 161--169
\mathnet{http://mi.mathnet.ru/pmtf1129}
\elib{https://elibrary.ru/item.asp?id=20929445}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2013
\vol 54
\issue 6
\pages 1003--1010
\crossref{https://doi.org/10.1134/S002189441306014X}
Linking options:
https://www.mathnet.ru/eng/pmtf1129
https://www.mathnet.ru/eng/pmtf/v54/i6/p161
This publication is cited in the following 3 articles:
Xiong Yu, Zhenting Yang, Qilin Zhang, Zhenzhen Tong, Zhenhuan Zhou, Xinsheng Xu, “Accurate fracture analysis of multi-material V-notched Reissner plates under bending or twisting”, Mathematics and Mechanics of Solids, 28:5 (2023), 1190
Bahador Bahrami, Majid R Ayatollahi, AR Torabi, “Predictions of fracture load, crack initiation angle, and trajectory for V-notched Brazilian disk specimens under mixed mode I/II loading with negative mode I contributions”, International Journal of Damage Mechanics, 27:8 (2018), 1173
M. R. Ayatollahi, A. R. Torabi, B. Bahrami, “Comprehensive notch shape factors for V-notched Brazilian disk specimens loaded under mixed mode I/II from pure opening mode to pure closing mode”, Arch Appl Mech, 87:2 (2017), 299
Citation in format AMSBIB
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