Construction of material functions of aluminum alloy D16T inelastic deformation based on the results of tests of tension and torsion

A. V. Ipatova ; V. E. Vildeman

Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 4 (2012), pp. 106-114.

Résumé

The tensor models of damage accumulation for isotropic materials are considered. The material functions of aluminum alloy D16T inelastic deformation based on the results of tests of tension, torsion, tension with torsion with different relations of axial and shear deformations are defined. Approximations of experimental data by analytical expressions are proposed. These expressions include the dependence on the first and second invariants of the strain tensor. Comparison of experimental and theoretical dependences attests to adequacy of the proposed mathematical models.

Détail

Keywords: material function, inelastic deformation, test results, approximation, invariant of the strain tensor, aluminum alloy.

Bibliographie

[1] Annin B. D., Zhigalkin V. M., Behavior of Materials under Complex Loading, SO RAN, 1999, 342 pp.

[2] Lebedev A. A., Kovalchuk B. I., Giginyak F. F., Lamashevskii V. P., Mechanical Properties of Structural Materials with a Complex Stress State, In Yure, Kiev, 2003, 540 pp.

[3] Vil'deman V. E., Tret'yakov M. P., Tret'yakova T. V., Bul'bovich R. V., Slovikov S. V., Babushkin A. V., Il'inykh A. V., Lobanov D. S., Ipatova A. V., Experimental investigations of materials properties at combined thermo-mechanics influences, ed. V. E. Vil'deman, Fizmatlit, Moscow, 2012, 204 pp.

[4] Vasserman N. N., Vil'demann V. E., Kryukov A. A., Tret'yakov M. P., “Investigation of the elastoplastic deformation laws of steel 15H2GMF on a complex stress state”, Perm State Technical University Mechanics Bulletin, 2010, no. 2, 34–47

[5] “Numerical investigation of strain and stress fields in unidirectionally reinforced fibrous composite materials of stochastic structure”, International Journal of Nanomechanics Science and Technology, 1:4 (2010), 273–290 | DOI

[6] Vil'demann V. E., Il'inykh A. V., “Simulation of structural failure and scale effects of softening at the post-critical deformation stage in heterogeneous media”, Fizicheskaya Mezomekhanika, 10:4 (2007), 23–29

[7] Il'inykh A. V., Vil'demann V. E., “Principles of mechanical behavior of granular composites, connected with form and sizes of elements of structure”, PNRPU Mechanics Bulletin, 2011, no. 4, 49-61

[8] Kachanov L. M., “Rupture time under creep conditions”, Int. J. Fracture, 97:1–4 (1999), 11–18 | DOI | Zbl

[9] Rabotnov Yu. N.,, “A mechanism of the long term fracture”, Voprosy prochnosti materialov i konstruktsii, AN SSSR, Moscow, 1959, 5–7

[10] Tamuzh V. P., Lagzdyn'sh A. Zh., “A variant of the phenomenological theory of fracture”, Polymer Mechanics, 4:4–6 (1968), 493–500

[11] Il'yushin A. A., Pobedrya B. E., Foundations of the mathematical theory of thermal viscoelasticity, Nauka, Moscow, 1970, 280 pp. | MR

[12] Novozhilov V. V., “O perspektivakh fenomenologicheskogo podkhoda k probleme razrusheniya”, Mekhanika deformiruemykh tel i konstruktsii, Mashinostroenie, M., 1975, 349–359 pp.

[13] Sokolkin Yu. V., Tashkinov A. A., Mechanics of Deformation and Failure of Structural Heterogeneous Bodies, Nauka, Moscow, 1984, 115 pp.

[14] Berezin A. V., A influence of damage on the deformation and strength characteristics of the solid media, Nauka, Moscow, 1990, 135 pp.

[15] Radchenko V. P., “The mathematical model of inelastic deformation and failure of the metals by energy-type creep”, Vestn. Samar. Gos. Tekhn. Univ. Ser. Fiz.-Mat. Nauki, 1996, no. 4, 43–63 | DOI

[16] Vil'deman V. E., Sokolkin Yu. V., Tashkinov A. A., Mechanics of inelastic deformation and fracture of composite materials, ed. Yu. V. Sokolkin, Fizmatlit, Moscow, 1997, 288 pp. | MR

[17] Panteleev I. A., Plekhov O. A., Naymark O. B., “Self-similarity mechanisms of damage growth in solids experiencing quasi-brittle fracture”, Vychislitel'naya Mekhanika Sploshnykh Sred, 4:1 (2011), 90–100

[18] Vil'deman V. E., Sannikova T. V., Tret'yakov M. P., “Experimental investigation of material deformation and failure regularities in a flat stressed state”, Journal of Machinery Manufacture and Reliability, 39:5, 492–496 | DOI

[19] Vil'deman V. E., Babushkin A. V., Tret'yakov M. P., Il'inykh A. V., Tret'yakova T. V., Ipatova A. V., Slovikov S. V., Lobanov D. S., Mechanics of Materials. Methods and means of experimental studies, Tutorial, ed. V. E. Vil'deman, Perm National Research Polytechnic University, Perm, 2011, 165 pp.