Strain-Energy Criteria for the Destruction of Ideal Rigid-Plastic Bodies

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The process of destruction of cylindrical samples under uniaxial tension is described taking into account changes in the geometry of the sample. An approach is formulated to determine the failure constants in the form of invariant characteristics based on standard mechanical tests under conditions of axisymmetric deformation.

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987-991

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May 2020

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© 2020 Trans Tech Publications Ltd. All Rights Reserved

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[1] A.Yu. Ishlinsky, Axisymmetric plasticity problem and Brinell test, PMM. 8, 3 (1944) 201-224.

Google Scholar

[2] D.D. Ivlev, The theory of perfect plasticity, M: Nauka, (1966).

Google Scholar

[3] F. MacClintock, A. Aragon, Deformation and fracture of materials, M. Mir, (1970).

Google Scholar

[4] L.M. Kachanov, Fundamentals of fracture mechanics, M .: Nauka, (1974).

Google Scholar

[5] G.I. Bykovtsev, A.I. Khromov, Plane strain in ideal plastic-rigid materials with surface changes, Mechanics of Solids. 2 (1979) 71-78.

Google Scholar

[6] G.I. Bykovtsev, A.I. Khromov, The plane problem on housing the stamp into an ideal hard-plastic semi-space, Proceedings of the USSR Academy of Sciences, Mechanics of solids. 6 (1981) 47-52.

Google Scholar

[7] A.Yu. Ishlinsky, Applied problems of mechanics, Book 1, Mechanics of viscoplastic and not quite elastic bodies, M .: Nauka, (1986).

Google Scholar

[8] G.I. Bykovtsev, D.D. Ivlev, Theory of plasticity, Vladivostok: Dalnauka, (1998).

Google Scholar

[9] D.D. Ivlev, The mechanics of plastic media, vol.1, issue 2, The theory of perfect plasticity, M.: Fizmatlit, (2001).

Google Scholar

[10] D.D. Ivlev, The mechanics of plastic media, Issue 2, vol. 2, General issues. Rigid plastic and elastoplastic state of bodies, Hardening, Deformation theories, Complex environments, M.: Fizmatlit, (2002).

Google Scholar

[11] А.I. Khromov, Deformation and Fracture of Rigid-Plastic Bodies, Dalnauka, Vladivostok, (1996).

Google Scholar

[12] A.I. Khromov, A.A. Bukhan'ko, O.V. Kozlova, S.L. Stepanov, Plastic constants of fracture, Journal of Applied Mechanics and Technical Physics. 47, 2 (2006) 274-281.

DOI: 10.1007/s10808-006-0053-9

Google Scholar

[13] А.I. Khromov, O.V. Kozlova, Fracture of Rigid-Plastic Bodies, Fracture Constants, Dalnauka, Vladivostok, (2005).

Google Scholar

[14] O.V. Kozlova, А.I. Khromov, Fracture constants for ideal rigid-plastic bodies, Doklady Physics. 47, 7 (2002), 548-551.

DOI: 10.1134/1.1499199

Google Scholar

[15] A.A. Bukhan'ko, A.Yu. Loshmanov, A.I. Khromov, Calculation of deformation fields in problems of processing materials with pressure in the presence of features of the field of displacement velocities, Forging-stamping production, Processing of materials by pressure. 9 (2006) 22-27.

Google Scholar

[16] Y.G. Yegorova, S.A. Kaverzina, A.I. Khromov, Cutting and destruction of ideal rigid-plastic bodies, Doklady Physics. 385, 7 (2002) 490-493.

Google Scholar

[17] A.A. Bukhanko, O.V. Kozlova, Strain field and energy dissipation at a crack tip under axisymmetric strain conditions, Materials Physics and Mechanics. 28, 1-2 (2016) 36-38.

Google Scholar

[18] A.A. Bukhan'ko, S.L. Stepanov, A.I. Khromov, Extension of a V-notched bar and failure of plastic bodies, Mechanics of Solids. 42, 3 (2007) 481-490.

DOI: 10.3103/s0025654407030168

Google Scholar

[19] E.P. Kocherov, A.I. Khromov, Deformation states and destruction of ideal rigid-plastic bodies, Vestnik SSTU. 42 (2006) 66-71.

Google Scholar

[20] A.A. Bukhanko, E.S. Kaminskaya, A.I. Khromov, The plastic flow in the vicinity of the crack front with axisymmetric deformation, Collection Mathematical modeling and boundary value problems. Proceedings of the 8th All-Russian Scientific Conference with international participation. 63-66.

Google Scholar

[21] B.N. Arzomasov, V.A. Brostrem, N.A. Boucher et al., Construction materials: Reference book, Under the total. ed. B.N. Arzomasova, M.: Mechanical Engineering, (1990).

Google Scholar