TRANSACTIONS OF THE KRYLOV STATE RESEARCH CENTRE

Science journal

 
ISSN (print) 2542-2324 /(online) 2618-8244


Articles of The Transactions of KSRC








Propagation of monomeric coupled thermo-elasto-diffusion disturbances in isotropic semi-space taking into account non-zero relaxation time.



Full text article ( in russian)

Year

 
2018

Issue

 
20182

Volume

 
2

Pages

 
144-150

Caption

 
Propagation of monomeric coupled thermo-elasto-diffusion disturbances in isotropic semi-space taking into account non-zero relaxation time.

Authors

 
Davydov S.A., Zemskov A.V.

Keywords

 
thermoelastic diffusion, simulation of physical processes, Green functions, Laplace transformation, Fourier transformation, semi-space, unsteady problems

DOI

 
10.24937/2542-2324-2018-2-S-I-144-150

Summary

 
The paper describes newly developed technique for numerically-analytical calculation of the stress-strain state of a homogeneous multi-component semi-space under unsteady surface mechanical, thermal and diffusion effects. One-dimensional processes in a medium are described by the unsteady local-equilibrium model of coupled thermoelastic diffusion taking into account the finite propagation velocities of all kinds of perturbations. The required functions of displacements, temperature increments, and substance concentrations are sought in the convolution form of Green's functions and boundary conditions. To find the Green's functions, we
use the Laplace transform with respect to time and the sine-, cosine-transform along the coordinate. The analysis of the received Green's functions and the test calculation are done.

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ISSN (print) 2542-2324 / ISSN (online) 2618-8244

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