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Correspondence principles for complex shear characteristics in non-isothermal model of monoharmonic approximation for physically nonlinear materials. (Russian, English) Zbl 1177.74185

Prikl. Mekh., Kiev 44, No. 8, 52-63 (2008); translation in Int. Appl. Mech. 44, No. 8, 872-881 (2008).
In the paper the Bodner–Partom model of non-isothermal flow and generalized method of harmonic linearization for the aluminum alloy AMg-6 are used to calculate complex shear modulus and pliability. Deformation and force loading cycles are considered in the temperature interval from \(20^\circ\)C to \(400^\circ\)C. Correspondence of the modulus and the pliability which is similar to the inverse proportionality condition in the linear theory of viscoelasticity is analyzed.

MSC:

74H45 Vibrations in dynamical problems in solid mechanics
74D99 Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials)