We obtain a numerical-analytic solution of an antiplane problem of the stress-strain state of elastoplastic half space containing a periodic system of thin rigid tunnel inclusions parallel to the boundary of the half space. Prior to loading, these inclusions were in unilateral mechanical contact with the medium. We determine the stress-strain state and study the phenomenon of plastic exfoliation of the inclusions. The diagrams of the critical load are plotted on the coordinates of the geometric parameters of the system of inclusions under the condition of constancy of the critical length of interface plastic strips.
Similar content being viewed by others
References
V. P. Sylovanyuk, V. I. Marukha, and N. V. Onyshchak, “Residual strength of cylindrical elements with cracks healed by the injection technology,” Fiz.-Khim. Mekh. Mater., 43, No. 1, 99–103 (2007); English translation: Mater. Sci., 43, No. 1, 109–116 (2007).
V. P. Sylovanyuk, R. Ya. Yukhym, and P. V. Horbach, “ Deformation and fracture of materials near spheroidal inclusions,” Fiz.-Khim. Mekh. Mater., 46, No. 6, 99–103 (2011); English translation: Mater. Sci., 46, No. 6, 757–762 (2011).
H. T. Sulym, Foundations of the Mathematical Theory of Thermoelastic Equilibrium of Deformable Solids with Thin Inclusions: A Monograph [in Ukrainian], Shevchenko Scientific Society, Lviv (2007).
V. A. Kryven, G. T. Sulym , and M. I. Yavorska, “Plastic interfacial slip of periodic systems of rigid thin inclusions undergoing longitudinal shear,” J. Theor. Appl. Mech., 44, No. 4, 837–848 (2006).
B. V. Shabat, Introduction to Complex Analysis, American Mathematical Society, Providence, RI (1992).
N. I. Akhiezer, Elements of the Theory of Elliptic Functions [in Russian], Nauka, Moscow (1970).
V. A. Kryven’, V. B. Valiashek, and M. I. Yavors’ka, “Plastic exfoliation of a thin stiff inclusion parallel to the boundary of half space in the case of its unilateral contact with the medium,” Fiz.-Khim. Mekh. Mater., 54, No. 2, 64–69 (2018); English translation: Mater. Sci., 54, No. 2, 202–208 (2018).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Fizyko-Khimichna Mekhanika Materialiv, Vol. 56, No. 1, pp. 89–93, January–February, 2020.
Rights and permissions
About this article
Cite this article
Kryven, V.А., Boiko, А.R., Valyashek, V.B. et al. Plastic Exfoliation of a Periodic System of Thin Near-Boundary Inclusions. Mater Sci 56, 90–96 (2020). https://doi.org/10.1007/s11003-020-00401-5
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11003-020-00401-5