 | | 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: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
|
| In English (Mech. Solids): | | 4810 |
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| Yu.I. Butenko, "Specific Characteristics of Numerical Determination of the Boundary Effect Stress-Strain State for an Orthotropic Strip," Mech. Solids. 51 (4), 472-483 (2016) |
| Year |
2016 |
Volume |
51 |
Number |
4 |
Pages |
472-483 |
| DOI |
10.3103/S0025654416040099 |
| Title |
Specific Characteristics of Numerical Determination of the Boundary Effect Stress-Strain State for an Orthotropic Strip |
| Author(s) |
Yu.I. Butenko (Kazan State University of Architecture and Civil Engineering, ul. Zelenaya 1, Kazan, 420043 Russia, info@kgasu.ru) |
| Abstract |
The paper deals with the problem of determining the stress-strain state near the boundary of a one-layer strip made of an orthotropic material subjected to a self-balanced load applied at the end of the strip (Saint-Venant effect, boundary effect, and boundary layer). A comparative analysis of two methods for determining the boundary effect is carried out. The first method, i.e., the solution in stresses (with respect to σy), was developed by L. A. Agalovyan and gives good results of one-layer strips. The second approach, i.e., the solution in displacements, was developed by the author, and its results for the one-layer strip practically coincides with the solution in stresses. The obtained results were also verified by FEM. But the solution of the problem of elasticity in displacements is much more promising when analyzing multilayer strips. |
| Keywords |
boundary effect, orthotropy, homogeneous solution, characteristic equation, complex roots, numerical realization, collocation method |
| References |
| 1. | L. A. Agalovyan,
Asymptotic Theory of Anisotropic Plates and Shells
(Nauka, Moscow, 1997)
[in Russian]. |
| 2. | Yu. I. Butenko,
"Study of the Boundary Layer in a Laminated Plate,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 4, 123-141 (2007)
[Mech. Solids (Engl. Transl.)
42 (4), 603-618 (2007)]. |
| 3. | Yu. I. Butenko,
"Determining the Boundary Layers in the Plane Problem
for Three-Layer Strips. Part 1,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 4, 58-76 (2008)
[Mech. Solids (Engl. Transl.)
43 (4), 571-585 (2008)]. |
| 4. | Yu. I. Butenko,
"Determining the Boundary Layers in the Plane Problem
for Three-Layer Strips. Part 2,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 1, 136-146 (2009)
[Mech. Solids (Engl. Transl.)
44 (1), 105-113 (2009)]. |
| 5. | Yu. I. Butenko,
Boundary Effects in Two- and Three-Layer Strips and Plates
(Izdat. Kazan Univ., Kazan, 2008)
[in Russian]. |
| 6. | Yu. I. Butenko,
"Boundary Effects in Multilayer Strips,"
in Problems of Nonlinear Mechanics of Deformable Solids.
Second International Conference
(KGU, Kazan, 2009),
pp. 73-76
[in Russian]. |
| 7. | Yu. I. Butenko,
"Boundary Effects in Multilayer Strips,"
Izv. Kazan. Gos. Arkhit.-Stroit. Univ.,
No. 2(12), 103-112 (2009). |
| 8. | Yu. M. Artyukhin, N. G. Gur'yanov, and L. M. Kotlyar,
System "Mathematica-4.0" and Its Applications in Mechanics
(Izdat. KamPI, Kazan-Naberezhnye Chelny, 2002)
[in Russian]. |
| 9. | V. V. Vasiliev and S. A. Lur'e, "Plane Problem of Elasticity for
an Orthotropic Cantilever Strip," Izv. Akad. Nauk SSSR. Mekh.
Tverd. Tela, No. 5, 125-135 (1984) [Mech. Solids (Engl. Transl.)]. |
|
| Received |
24 February 2014 |
| Link to Fulltext |
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