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IssuesArchive of Issues2017-2pp.155-160

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V.A. Berezkin, "On the Construction of the Green Tensor for an Orthotropic Elastic Medium," Mech. Solids. 52 (2), 155-160 (2017)
Year 2017 Volume 52 Number 2 Pages 155-160
DOI 10.3103/S0025654417020054
Title On the Construction of the Green Tensor for an Orthotropic Elastic Medium
Author(s) V.A. Berezkin (State Budgetary Educational Institution "School 192", Leninskii pr. 34A, Moscow, 119334 Russia, v_berezkin@mail.ru)
Abstract The Lifshits-Rosenzweig method is used to obtain the general solution for the Fourier amplitudes and find the general form of the coefficients of a sixth-order equation in the case of an orthotropic elastic medium and also compute the Green tensor for the special case of an orthotropic medium, namely, hard pine (Pinus australis).
Keywords Green tensor, anisotropy, orthotropy, Fourier amplitude
References
1.  B. E. Pobedrya, Mechanics of Composite Materials (Izdat. MGU, Moscow, 1984) [in Russian].
2.  I. M. Lifshits and L. N. Rozentsveig, "On Construction of Green's Tensor for the Basic Equation of Elasticity in the Case of Unbounded Elastoanisotropic Medium," Zh. Vych. Mat. Mat. Fiz. 17 (9), 783-791 (1947).
3.  B. E. Pobedrya, Numerical Methods in Elasticity and Plasticity Theory (Izdat. MGU, Moscow, 1995) [in Russian].
4.  D. F. Haasbroek and L. Pretorius, "Orthotropic Failure Criterion for Timber," J. R.&D. 10 (1), 1-6 (1994).
5.  P. N. Ostapchuk, "Greens Tensor of a Weakly Anisotropic Cubic Crystal: Efficiency of Point Defect Absorption by Spherical Pore," Fiz. Tverd. Tela 54 (1), 92-98 (2012) [Phys. Solid State (Engl. Transl.) 54 (1), 98-105 (2012)].
Received 25 June 2014
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