Constitutive equations describing the nonisothermal deformation of elements of a body along paths of small curvature are formulated taking into account the stress mode. The equations include two scalar functions, one relating the first invariants of the tensors and the other relating the second invariants of the stress and strain deviators. Both scalar functions are nonlinear, dependent on temperature and stress mode, and determined in tests on tubular specimens. The plastic incompressibility condition is validated in uniaxial-tension tests on tubular and solid specimens. The proposed equations are used to design a loading process that differs from the base ones and proceeds at high temperature. The calculated results are compared with experimental data
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Translated from Prikladnaya Mekhanika, Vol. 46, No. 6, pp. 3–16, June 2010.
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Shevchenko, Y.N., Tormakhov, N.N. Constitutive equations of thermoplasticity including the third invariant. Int Appl Mech 46, 613–624 (2010). https://doi.org/10.1007/s10778-010-0349-6
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DOI: https://doi.org/10.1007/s10778-010-0349-6