Numerical calculation of the process of diffusion saturation of spherical deformable solid bodies allowing for the interaction of deformation and diffusion processes. (English) Zbl 0598.73118

Shevchuk, V. A.

Mat. Metody Fiz.-Mekh. Polya 23, 41-44 (1986).

For the solution of the nonstationary correlated problem on diffusion saturation of spherical deformable solid bodies in case of central symmetry a calculation scheme is proposed, which bases on the reduction of the original system of differential equations and boundary conditions to the solution of a non-classical boundary value problem for the physical variable (concentration of the diffusing substance) and the subsequent determination of the mechanical variables (stresses, deformations). The numerical calculations are performed by means of difference schemes.

Reviewer: G.Stiller

MSC:

74A15	Thermodynamics in solid mechanics
74S99	Numerical and other methods in solid mechanics

Keywords:

nonstationary correlated problem; diffusion saturation; spherical deformable solid bodies; central symmetry; solution of a non-classical boundary value problem; difference schemes