Simulation of nonstationary hydrogen diffusion processes near the crack tip in a field of inhomogeneous mechanical stresses
Fìz.-mat. model. ìnf. tehnol. 2021, 33:93-98
DOI:
https://doi.org/10.15407/fmmit2021.33.093Keywords:
mathematical model, mechanical stresses, hydrogen diffusion, crack, continued fractions, two-sided approximationAbstract
An elastic-plastic isotropic body is investigated, weakened by a rectilinear crack directed along the abscissa axis, under the action of stresses symmetric with respect to its plane. The hydrogen concentration near the crack tip is calculated. An approximate solution of this problem is constructed under the condition that the distribution of hydrostatic stresses along the crack extension is approximated by a parabola. For a numerical solution, a method of the third order of accuracy with a two-sided estimate of the main term of the local error is proposed.
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