### ON THE PROBLEM OF STRAIN LOCALIZATION AND FRACTURE SITE PREDICTION IN MATERIALS WITH IRREGULAR GEOMETRY OF INTERFACES

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Vinogradov, A., Estrin, Y., 2018, Analytical and numerical approaches to modelling severe plastic deformation, Progress in Materials Science, 95, pp.172–242.

Antolovich, S.D., Armstrong, R.W., 2014, Plastic strain localization in metals: origins and consequences, Progress in Materials Science, 59, pp.1–160.

Lunt, D., Xu, X., Busolo, T., Quinta da Fonseca, J., Preuss, M., 2018, Quantification of strain localisation in a bimodal two-phase titanium alloy, Scripta Materialia, 145, pp. 45–49.

Popov, V.L., 2010, Contact mechanics and friction: physical principles and foundations, Springer, Berlin

Li, Q., Popov, V.L., 2016, Indentation of flat-ended and tapered indenters with polygonal cross-sections, Facta Universitatis-Series Mechanical Engineering, 14(3), pp. 241-249.

Becker, R., Needleman, A., 1986, Effect of yield surface curvature on necking and failure in porous plastic solids, J. Appl. Mech., 53, pp. 491–499.

Dequiedt, J.L., 2013, Localization in heterogeneous materials: A variational approach and its application to polycrystalline solids, International Journal of Plasticity, 48, pp. 92–110.

Xue, L., 2010, Localization conditions and diffused necking for damage plastic solids, Engineering Fracture Mechanics, 77, pp. 1275–1297.

Beukel, A.V.D., Kocks, U.F., 1982, The strain dependence of static and dynamic strain-aging, Acta Metall. Mater, 30, pp. 1027-1034.

Neuhäuser, H., Hampel, A., 1993, Observation of Luders bands in single crystals, Scripta Metallurgica et Materialia, 29, pp. 1151-7.

Casarotto, L., Tutsch, R., Ritter, R., Weidenmüller, J., Ziegenbein, A., Klose, F., Neuhäuser, H., 2003, Propagation of deformation bands investigated by laser scanning extensometry, Computational Materials Science, 26, pp. 210-218.

Anjabin, N., Karimi Taheri, A., Kim, H.S., 2013, Simulation and experimental analyses of dynamic strain aging of a supersaturated age hardenable aluminum alloy, Materials Science & Engineering A, 585, pp. 165–173.

McCormick, P.G., Ling, C.P., 1995, Numerical modeling of the Portevin-Le Chatelier effect, Acta Metall. Mater, 43, pp. 1969-1977.

Hähner, P., Rizzi, E., 2003, On the kinematics of Portevin-Le Chatelier bands: theoretical and numerical modeling, Acta Materialia, 51, pp. 3385-3397.

Balokhonov, R.R., Romanova, V.A., Martynov, S.A., Schwab, E.A., 2013, Simulation of Deformation and Fracture of Coated Material with Account for Propagation of a Lüders-Chernov Band in the Steel Substrate, Physical Mesomechanics, 16(2), pp. 133-140.

Balokhonov, R.R., Romanova, V.A., Schmauder, S., Makarov, P.V., 2003, Simulation of meso–macro dynamic behavior using steel as an example, Computational Materials Science 28, pp. 505–511.

Li, Y., Ortiz, Ch., Boyce, M.C., 2013, A generalized mechanical model for suture interfaces of arbitrary geometry, Journal of the Mechanics and Physics of Solids, 61, pp. 1144–1167.

Panin, V.E., (Eds.), 1998, Physical mesomechanics of heterogeneous media and computer-aided design of materials, Cambridge International Science Publishing, Cambridge.

Needleman, A., 2000, Computational mechanics at the mesoscale, Acta Materialia, 48, pp. 105-124.

Schmauder, S., Schäfer, I., 2016, Multiscale Materials Modeling: Approaches to Full Multiscaling, Walter de Gruyter GmbH & Co KG, Berlin.

Balokhonov, R.R., Romanova, V.A., Panin, A.V., Kazachenok, M.S., Martynov, S.A., 2018, Strain Localization in Titanium with a Modified Surface Layer, Physical Mesomechanics, 21(1), pp. 32-42.

Balokhonov, R., Zinoviev, A., Romanova, A., Zinovieva, O., 2016, The computational micromechanics of materials with porous ceramic coatings, Meccanica 51(2), pp. 415-428.

Balokhonov, R.R., Romanova, V.A., Schmauder, S., Schwab, E.A., 2012, Mesoscale analysis of deformation and fracture in coated materials, Computational Materials Science 64, pp. 306–311.

Koval, A.V., Panin, S.V., 2000, Mesoscale deformation and cracking of surface-hardened low carbon steel, Theoretical and Applied Fracture Mechanics 34, pp. 117-121.

Richtmyer, R.D., Morton, K.W., 1967, Difference methods for initial-value problems, Interscience publishers, John Wiley & Sons, New York – London – Sydney.

Grigorieva, I.S., Meilihova, E.Z., (Eds.), 1991, Physical values, Reference book, Energoatomizdat, Moscow.

DOI: https://doi.org/10.22190/FUME190312023B

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