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Specification of Scalar Functions of the Tensor-Nonlinear Constitutive Equations in the Theory of Plasticity

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Abstract

Methods are proposed to obtain a specific form of scalar functions that belong to the tensor-nonlinear constitutive equations linking generalized stresses and finite strains in the theory of plasticity. Experimental data obtained earlier are used to assign a specific form to these functions and substantiate the applicability of the tensor-nonlinear constitutive equations to the description of the deformation of body elements along rectilinear paths differing from the basic ones

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REFERENCES

  1. A. A. Il'yushin, Plasticity [in Russian], Izd. Akad. Nauk SSSR, Moscow (1963).

    Google Scholar 

  2. V. V. Novozhilov, “The stress–strain relationship in a nonlinearly elastic medium,” Prikl. Mat. Mekh., 15, No. 2, 183–194 (1951).

    Google Scholar 

  3. V. V. Novozhilov, “Principles of data processing in static tests of isotropic materials,” Prikl. Mat. Mekh., 15, No. 6, 709–722 (1951).

    Google Scholar 

  4. V. V. Novozhilov, The Theory of Elasticity [in Russian], Sudpromgiz, Leningrad (1958).

    Google Scholar 

  5. N. N. Tormakhov, The Relationship between Stresses and Finite Plastic Strains under Simple Loading [in Russian], Manuscript No. 7899-V deposited at VINITI 11.12.85, Kiev (1985).

  6. M. Reiner, “A mathematical theory of dilatancy,” Amer. J. Math., 67, No. 3, 350–362 (1945).

    Google Scholar 

  7. Yu. N. Shevchenko, “Study of thermoviscoelastoplastic processes in the deformation of structural elements,” Int. Appl. Mech., 35, No. 9, 861–870 (1999).

    Google Scholar 

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Shevchenko, Y.N., Tormakhov, N.N. & Terekhov, R.G. Specification of Scalar Functions of the Tensor-Nonlinear Constitutive Equations in the Theory of Plasticity. International Applied Mechanics 36, 1329–1338 (2000). https://doi.org/10.1023/A:1009486100496

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