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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2012, Volume 53, Issue 6, Pages 112–120
(Mi pmtf1427)
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Plastic flow at a crack tip. Energy failure criterion and its relationship to the $J$ integral
A. A. Bukhan'ko, A. I. Chromov Korolev Samara State Aerospace University, Samara, 443086, Russia
Abstract:
Plastic flow at the tip of a crack moving in an elastic body is considered using the theory of an ideally rigid-plastic body. The material at the crack tip is treated as a body consisting of an elastic outer region and a rigid-plastic inner region. It is shown that this representation is energetically justified for small plastic regions. The distribution of the specific dissipation of the work of internal forces and deformations along the particle trajectory at the crack tip is obtained. The relationship between the specific dissipation of the work of internal forces and the $J$ integral under plane-strain conditions is established.
Keywords:
plasticity, fracture, energy dissipation.
Received: 05.03.2012
Citation:
A. A. Bukhan'ko, A. I. Chromov, “Plastic flow at a crack tip. Energy failure criterion and its relationship to the $J$ integral”, Prikl. Mekh. Tekh. Fiz., 53:6 (2012), 112–120; J. Appl. Mech. Tech. Phys., 53:6 (2012), 899–906
Linking options:
https://www.mathnet.ru/eng/pmtf1427 https://www.mathnet.ru/eng/pmtf/v53/i6/p112
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Abstract page: | 23 | Full-text PDF : | 9 |
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