Model for plasticity effects in metals under nonproportional cyclic loading

A possible physical mechanism for additional hardening is proposed on the basis of an analysis of experiments on nonproportional cyclic loading of metals. A model for an elastoplastic polycrystal with a hardening law taking into account the interaction of slip systems is developed. The effect of additional hardening for elliptic strain paths and the shapes of stress paths and hysteresis loops typical of elliptic strain paths are described qualitatively. A violation of the assumption of the local determinacy and orientations of stress paths is considered for the square strain paths taking place in tests of chromium-nickel austenite stainless steels. Perm' State Technical University, Perm', 614600. Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 40, No. 6, pp. 144–151, November–December, 1999.     

Exact periodic and localized solutions of the equationh t =Δ inh

New exact regular solutions of the nonlinear-diffusion equation are found. Various types of evolution of certain classes of localized initial perturbations are described. We show that, when a localized distribution in the form of a ring is specified, the instantaneous occurrence of the singularity in its center results from the diffusive spreading. Institute of Mechanics of Continua, Ural Division, Russian Academy of Sciences, Perm' 614013. Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 40, No. 1, pp. 22–26, January–February, 1999.     

Stability of convective flows in a rotating liquid layer under various heating conditions

For a rotating liquid layer with boundaries of low thermal conductivity, an amplitude equation is obtained that describes the evolution of secondary convective flows in uniform heating and above a hot spot. The dependence of the coefficients of the amplitude equation on the rotation parameter, Prandtl number, and heat-flux nonuniformity is obtained. The influence of rotation on the stability of nonlinear regimes is analyzed for uniform heating. The boundaries of flow stability are investigated for variously shaped hot spots. Perm'State University, Perm'614600. Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika. Vol. 39, No. 1, pp. 69–74, January–February, 1998.     

Electromagnetic and temperature fields in direct resistance heating of compound axisymmetric bodies

A nonstationary coupled problem of thermoelectrodynamics is formulated for resistance heating of dissimilar ferro- and paramagnetic bodies by an alternating current. An iterative algorithm for solving this problem by finite-difference methods is proposed. Temperature and electromagnetic-field distributions are obtained for the processes of direct resistance heating both in air and in the region of the molding tool. Perm' State Technical University, Perm' 614000. Translted from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 41, No. 4, pp. 156–164, July–August, 2000.     

Optimal control of production residual stresses to increase the strength and stability of structures

Perm' Polytechnic Institute (Russia). Translated from Prikladnaya Mekhanika, Vol. 29, No. 8, pp. 3–12, August, 1993.     

Magnetic fluid motion driven by a high-frequency rotating magnetic field

The problem of the circulating flow of a nonisothermal magnetic fluid in a long vertical cylinder placed in a rotating magnetic field is solved in the weak vorticity approximation.Perm'. Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No. 1, pp. 18–22, January–February, 1996.     

Effect of anomalous dispersion dependences on scattering and generation of internal waves

Novosibirsk. Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, No. 3, pp. 47–55, May–June 1994.     

Planar deformation in geometrically nonlinear elasticity

Novosibirsk. Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, No. 1, pp. 99–114, January–February.     

Instability of a self-gravitating compressible medium

Novosibirsk. Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, No. 4, pp. 68–77, July–August, 1994     

Microwave radiation in the electrical explosion of conductors

Moscow. Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, No. 1, pp. 3–5, January–February, 1995     

Discrete nonlinear-dispersion shallow-water model

Krasnoyarsk. Translated from Prikladnaya Mekhhanika i Tekhnicheskaya Fizika, No. 1, pp. 34–42, January–February, 1994.     

Effect of the anisotropy of macromolecular tangles on the nonlinear properties of polymer liquids stretched along a single axis

Barnaul. Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, No. 4, pp. 147–153, July–August, 1994.     

Asymptote of the basic equation for perturbation propagation in a low-viscosity two-dimensional dedium

Rostov-on-Don. Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, No. 1, pp. 121–129, January–February, 1995.     

Pressure waves in a liquid suspension with solid particles and gas bubbles

Novosibirsk. Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, No. 1, pp. 32–40, January–February, 1995.     

Generation of long waves by the bottom contour in a two-layer flow

Novosibirsk. Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, No. 3, pp. 34–47, May–June, 1993.     

Planar problem of hydrodynamic shaking of a submerged body in the presence of motion in a two-layered fluid

Novosibirsk. Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, No. 5, pp. 32–44, Septerm–October, 1994.     

Numerical method of solving the problem of the contact of an elastic plate with an obstacle

Novosibirsk. Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, No. 5, pp. 142–146, September–October, 1994.     

Calculation of plane equilibrium shapes of thin rods by the method of self-equilibrating variances

Novosibirsk. Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, No. 2, pp. 142–151, March–April, 1994.     

Determination of the kinetic strength constants and of the critical size of destruction of composite materials on the basis of recording of pulse electromagnetic radiation during their destruction

Kemerovo. Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, No. 4, pp. 153–159, July–August, 1994.     

Long waves in an eddying barotropic liquid

Novosibirsk. Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, No. 6, pp. 17–26, November–December, 1994.