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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2004, Volume 45, Issue 6, Pages 95–102
(Mi pmtf2445)
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Two nonlinear models of brittle fracture for solids
A. V. Shutov Lavrent'ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090, Russia
Abstract:
This paper considers isotropic and orthotropic nonlinear constitutive relations for brittle materials in the case of plane stresses. Numerical solution algorithms based on the finite-element method are developed. The resulting material models are incorporated in the PIONER software. The correctness of crack path determination is examined by solving a test problem of crack propagation. The isotropic model gives mesh-dependent results, whereas the orthotropic model provides an adequate solution. It is shown that solutions obtained for the isotropic model are close to those obtained by eliminating failed elements.
Keywords:
mechanics of deformable solids, finite-element method, fracture mechanics, brittle fracture.
Received: 01.10.2003 Accepted: 01.12.2003
Citation:
A. V. Shutov, “Two nonlinear models of brittle fracture for solids”, Prikl. Mekh. Tekh. Fiz., 45:6 (2004), 95–102; J. Appl. Mech. Tech. Phys., 45:6 (2004), 853–859
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https://www.mathnet.ru/eng/pmtf2445 https://www.mathnet.ru/eng/pmtf/v45/i6/p95
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Abstract page: | 27 | Full-text PDF : | 10 |
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