Abstract
The results of analytical and numerical investigations on estimating the character of the singularity of stresses in a vicinity of different variants of special points of the 2D elastic solids made of functionally graded materials (FGMs) are presented. The variant of construction by analytical methods in the polar system of coordinates is considered for eigensolutions in the flat wedges made of the FGM, the elastic properties of which are represented as power series in terms of the radial coordinate.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
S. Suresh and A. Mortensen, Ceramic Composites. IOM Communications (Cambridge Univ. Press, Cambridge, 1998).
P. Gu and R. J. Asaro, Intern. J. Solids Struct. 34 (1), 1 (1997).
L. Zhang and J.-H. Kim, J. Appl. Mech. 79 (5), 051011 (2012).
M. R. Hill and W.-Y. Lin, J. Eng. Mater. Tech. 124 (2), 185 (2002).
V. A. Kondrat’ev, Trudy MMO 16, 209 (1967).
M. L. Williams, J. Appl. Mech. 19 (4), 526 (1952).
V. Z. Parton and P. I. Perlin, Metody of Mathematical Theory of Elasticity (Nauka, Moscow, 1981) [in Russian].
S. M. Borzenkov and V. P. Matveenko, Izv. Akad. Nauk, Mekh. Tverd. Tela, No. 2, 93 (1996).
V. P. Matveenko and A. Yu. Fedorov, Vychisl. Mekhanika Splosh. Sred 4 (4), 63 (2011).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © V.P. Matveenko, A.Yu. Fedorov, I.N. Shardakov, 2016, published in Doklady Akademii Nauk, 2016, Vol. 466, No. 1, pp. 38–42.
Rights and permissions
About this article
Cite this article
Matveenko, V.P., Fedorov, A.Y. & Shardakov, I.N. Analysis of stress singularities at singular points of elastic solids made of functionally graded materials. Dokl. Phys. 61, 24–28 (2016). https://doi.org/10.1134/S1028335816010031
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1028335816010031