Recent developments in applied mathematics and mechanics: theory, experiment and practice. Devoted to the 80th anniversary of academician N.N.Yanenko

Akademgorodok, Novosibirsk, Russia, June 24 - 29, 2001

Abstracts

Siberian participants

The problem on heat shock with using the generalized thermal elasticoplastic formulation

Demidov V.N.

ISPMS SB RAS (Tomsk)

The mathematical formulation of the problem on the heat shock includes the equations of motion, continuity, heat transfer; the generalized Fourier's law and governing equations connecting the stresses and strains. The interrelation between heat- and mechanical effects is taken into consideration in this statement of problem and is dictating by 1) the heat conductivity; 2) dynamic (inertia) items; 3) coupling between the strain and temperature fields; 4) heat inertia (the finite rate of the heat propagation); 5) dissipative processes due to the plasticity. The problem was solved numerically with using the method of Godunov. The obtained solution unlike the known one from thermal elasticity contains the series of new qualitative effects stipulated by the heat inertia and plastic deformation.

Full Text in Russian: PDF (404 kb)
Note. Abstracts are published in author's edition

Comments

[Home]
[Conference]