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W. Auzinger, R. Stolyarchuk, Y. Pelekh, O. Kozar, S. Mentynskyi;, M. Ihnatyshyn:
"The Studying of Hydrogen Diffusion Non-Stationary Processes Near a Crack in the Field of Heterogeneous Mechanical Tensions for the Encapsulated MEMS Devices";
in: "2020 IEEE XVIth International Conference on the Perspective Technologies and Methods in MEMS Design (MEMSTECH)", IEEE Xplore, 2020, ISBN: 978-1-7281-7181-4, 164 - 168.

In this paper we study an elastic-plastic
isotropic body weakened by a rectilinear crack, directed
along the abscissa axis, under the action of stresses
symmetrical about its plane. An approximate (analytical
and numerical) solution of this problem is constructed
under the condition that the hydrostatic deformation of
the split expansion is approximated by a parabola. The
concentration of hydrogen near the top of the crack is
calculated.
Note that when using the above calculation formulas,
at each node we get several approximations to the exact
solution. In the proposed methods, only three appeals to
the right-hand side of the differential equation are
necessary to obtain both the third order accuracy method
and the two approximations (upper and lower) of the
second order of accuracy.

mathematical model, elastic-plastic isotropic body, hydrogen diffusion, internal crack, continued fractions, two-sided approximations, nonlinear methods.

http://dx.doi.org/10.1109/MEMSTECH49584.2020.9109464

https://ieeexplore.ieee.org/document/9109464