Residual stress-strain state of a steel disk under thermal pulsed irradiation

The residual stress-strain state of a disk caused by the action of a laser pulse or an electron beam is investigated within the framework of the dynamic statement of the coupled problem of thermomechanics. The axially symmetric problem is solved numerically using the thermodynamically consistent theory of the inelastic behavior of the material involving the finite-element method and taking into account temperature dependences of physical and mechanical characteristics of the material. The response of the material to thermal irradiation followed by gradual cooling is studied, and the possibility of formation of surface profiles with the use of only thermal treatment is considered. Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 51, No. 1, pp. 157–168, January–March, 2008.     

Vibration and dissipative heating of a layered rectangular viscoelastic prism under harmonic shear loading

The vibration and vibrational heating of a rectangular prism with copper and polyethylene layers is studied by solving numerically a coupled problem of thermoelasticity. The cases of kinematic and mechanical harmonic shear loads on a section of the prism surface are examined. Local heating regions are revealed. They are due to the stress fields in the neighborhood of the points at which the type of boundary conditions changes. The temperature–time curves have preresonance, resonant, and postresonance sections. The heating process reaches a steady thermal state under kinematic loading and may become avalanche-like (which is typical of thermal instability) under mechanical loading Translated from Prikladnaya Mekhanika, Vol. 45, No. 2, pp. 70–78, February 2009.     

Effects of the interaction between radiation and a disintegrating vitreous material

This article considers the disintegration of a vitreous semitransparent material at the critical point in a stream of radiating gas. A study is made of the effect on the rate of disintegration of the indeterminacy of the effect of interaction between the radiation and the gaseous disintegration products and of the spectral distribution of the density of the radiation flux of the gas with respect to the semitransparancy of the material. An analysis of the error of the gray approximation with calculation of the disintegration of materials with a semitransparency window is also given.Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 5, pp. 133–137, September–October, 1978.     

Possibilities of a refined method of calculating plane vibrations of lamellar bodies

Institute of Mechanics, Academy of sciences of the Ukrainian SSR, Kiev. Translated from Prikladnaya Mekhanika, Vol. 27, No. 11, pp. 69–77, November, 1991.