Open AccessSimulation of nonstationary hydrogen diffusion processes near the crack tip in a field of inhomogeneous mechanical stresses
Author(s) -
Yaroslav Pelekh,
Andrii Kunynets,
Serhii Mentynskyi,
Bohdan Fil
Publication year - 2021
Publication title -
fìziko-matematične modelûvannâ ta ìnformacìjnì tehnologìï/fìzìko-matematične modelûvannâ ta ìnformacìjnì tehnologìï
Language(s) - English
Resource type - Journals
eISSN - 2617-5258
pISSN - 1816-1545
DOI - 10.15407/fmmit2021.33.093
Subject(s) - parabola , isotropy , materials science , hydrostatic equilibrium , mechanics , action (physics) , diffusion , plane (geometry) , crack tip opening displacement , fissure , geometry , mathematics , stress intensity factor , fracture mechanics , physics , composite material , thermodynamics , optics , quantum mechanics
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.