 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
|
| In English (Mech. Solids): | | 4760 |
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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 |
| Link to Fulltext |
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