Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
in January 1966
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IssuesArchive of Issues2014-2pp.162-174

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Total articles in the database: 10864
In Russian (»Á‚. –ņÕ. Ő““): 8009
In English (Mech. Solids): 2855

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Ya.M. Pasternak and G.T. Sulim, "Plane Problem of Elasticity for an Anisotropic Body with Doubly Periodic Systems of Thin Inhomogeneities," Mech. Solids. 49 (2), 162-174 (2014)
Year 2014 Volume 49 Number 2 Pages 162-174
DOI 10.3103/S002565441402006X
Title Plane Problem of Elasticity for an Anisotropic Body with Doubly Periodic Systems of Thin Inhomogeneities
Author(s) Ya.M. Pasternak (Lutsk National Technical University, Lvivska†75, Lutsk, 43018 Ukraine,
G.T. Sulim (Ivan Franko National University of Lviv, Universytetskaya†1, Lviv, 79000 Ukraine,
Abstract A system of integral equations of the boundary element method for studying doubly periodic systems of thin inclusions in anisotropic bodies is constructed. Several dependences for determining the mean stresses and strains of a composite with regular systems of thin inhomogeneities are obtained. Numerical procedures of the proposed method are implemented, and generalized stress intensity factors are calculated together with the effective elasticity moduli of a composite with doubly periodic systems of thin elastic inclusions.
Keywords boundary element method, generalized stress intensity factors, thin inclusion, crack, anisotropy, effective characteristics of a composite
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18.  Ia. M. Pasternak, "Coupled 2D Electric and Mechanical Fields in Piezoelectric Solids Containing Cracks and Thin Inhomogeneities," Engng Anal. Bound. Elem. 35 (4), 678-690 (2011).
19.  Ia. M. Pasternak and N. T. Sulym, "Thin Inclusions Theory Integral Equations Numerical Solutions Using the Boundary Element Method Procedure," in Proc. Int. Conf. "Integral Equations - 2010" (PAIS, Lviv, 2010), pp. 104-108.
20.  Ya. S. Podstrigach, "Conditions of Stress and Displacement Jump on a Thin-Wall Elastic Inclusion in Continuum," Dokl. Ukr. Akad. Nauk. Ser. A, No. 12, 30-32 (1982).
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24.  Ia. M. Pasternak and G. T. Sulym, "Dual Boundary Element Method for Problems of the Theory of Thin Inclusions," Mat. Met. Fiz.-Mekh. Polya 53 (2), 46-57 (2010) [J. Math. Sci. (Engl. Transl.) 178 (4), 421-434 (2011)].
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27.  J. H. Xiao, Y. L. Xu, and C. P. Jiang, "Exact Solutions to the Antiplane Problem of Doubly Periodic Conducting Rigid Line Inclusions of Unequal Size in Piezoelectric Materials," ZAMM 91 (5), 413-424 (2011).
28.  E. Pan, "A General Boundary Element Analysis of 2D Linear Elastic Fracture Mechanics," Int. J. Fract. 88 (1), 41-59 (1997).
Received 06 September 2011
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