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On Scalar Functionals of Nonlinear tensorial Constitutive Equations in the Theory of Plasticity for Nonisothermal Rectilinear Processes of Deformation

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Abstract

Based on base experiments formulated, methods are proposed to specify the scalar functional in the nonlinear equations that relate generalized stresses and finite strains in the theory of plasticity. The base experiments are conducted and the functionals are specified. It is shown that the nonlinear tensorial constitutive equations can be used to describe a nonisothermal process of deformation along a rectilinear path, which is distinct from the base ones, at high temperatures that cause creep strains

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Authors and Affiliations

  1. S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev

    Yu. N. Shevchenko, N. N. Tormakhov & R. G. Terekhov

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  1. Yu. N. Shevchenko
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  2. N. N. Tormakhov
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  3. R. G. Terekhov
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Shevchenko, Y.N., Tormakhov, N.N. & Terekhov, R.G. On Scalar Functionals of Nonlinear tensorial Constitutive Equations in the Theory of Plasticity for Nonisothermal Rectilinear Processes of Deformation. International Applied Mechanics 38, 1342–1353 (2002). https://doi.org/10.1023/A:1022645218596

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