Thermomechanical Model of Growing Cylindrical Bodies Made of Physically Nonlinear Materials

The finite-element method is used together with the theory of growing bodies to model the residual stress-strain state of cylindrical bodies with built-up layers. The case of two built-up layers is analyzed. Numerical and experimental results are compared __________ Translated from Prikladnaya Mekhanika, Vol. 41, No. 9, pp. 118–126, September 2005.     

Generalized models of the thermomechanical behavior of viscoelastic materials with allowance for the interaction of mechanical and thermal fields (review)

This article generalizes the results of a study of the structure of the constitutive equations of viscoelastic materials. The thermodynamics of irreversible processes is used to derive the constitutive equations. The concepts of generalized dissipative potential and rheologically simple behavior are used within this framework. Several new general models have already been constructed, and their relationship to well-known theories is established in the article. S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev. Translated from Prikladnaya Mekhanika, Vol. 36, No. 1, pp. 53–77, January, 2000.     

Thermal instability of a layered rectangular viscoelastic prism under high-frequency compressive loading

The thermal instability of a rectangular prism under vibrational heating is studied solving a coupled problem of thermoviscoelasticity and using finite-element modeling. The prism has copper and polyethylene or polymethylmethacrylate layers and undergoes high-frequency mechanical or kinematic compression. It is established that in the case of polyethylene, thermal instability occurs under mechanical loading and does not occur under kinematic loading. In the case of polymethylmethacrylate, thermal instability occurs under both kinds of loading. This is because of the increase in the shear and bulk loss compliances with temperature for each of the polymers. At the transformation temperature, shear dissipation goes over into bulk dissipation, which is predominant in rather thin polymeric layers. Dynamicity influences the critical loads both qualitatively and quantitatively     

Approximate calculation of the residual stresses occurring in the process of cooling welded polymer bodies

Institute of Mechanics, Academy of Sciences of the Ukraine (Kiev). Translated from Prikladnaya Mekhanika, Vol. 29, No. 2, pp. 17–23, February, 1993.     

Calculation of the plane vibration and vibrational heating of plates of variable thicknesses

Institute of Mechanics, Ukrainian Academy of Sciences, Kiev. Institute of Electric Welding, Ukrainian Academy of Sciences, Kiev. Translated from Prikladnaya Mekhanika, Vol. 28, No. 5, pp. 64–69, May, 1992.     

Applied model of the deformation of nonlinearly viscoelastic vibration insulators subject to cyclic deformation

S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev. Institute of Geotechnical Mechanics, National Academy of Sciences of Ukraine, Dnepropetrovsk. Translated from Prikladnaya Mekhanika, Vol. 30, No. 9, pp. 63–68, September, 1994.