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Solution of axisymmetric dynamically connected problem of thermoviscoplasticity under harmonic loading by means of complex moduli. (English. Russian original) Zbl 1051.74517

Int. Appl. Mech. 37, No. 12, 1585-1593 (2001); translation from Prikl. Mekh., Kiev 37, No. 12, 85-93 (2001).
The authors present an approximate statement of axisymmetric dynamical problem of thermoviscoplasticity with allowance for the connectedness of the mechanical and thermal fields. In the statement an approximate cyclic model of thermoviscoplasticity is used, which is based on the concept of complex moduli. Main regularities of distribution of the field values and the temperature and amplitude frequency resonant characteristics of a circular disk are studied in the case of forced axisymmetric bendin g oscillations.

MSC:

74A15 Thermodynamics in solid mechanics
74C99 Plastic materials, materials of stress-rate and internal-variable type
74D99 Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials)
74F05 Thermal effects in solid mechanics