 | | 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. F. Astapov, A. A. Markin, and M. Yu. Sokolova, "Determination of the elastic properties of materials from experiments for solid cylinders," Mech. Solids. 37 (1), 85-91 (2002) |
| Year |
2002 |
Volume |
37 |
Number |
1 |
Pages |
85-91 |
| Title |
Determination of the elastic properties of materials from experiments for solid cylinders |
| Author(s) |
V. F. Astapov (Tula)
A. A. Markin (Tula)
M. Yu. Sokolova (Tula) |
| Abstract |
The Pointing effect involves a change in length and outer diameter of
a wire subjected to torsion. This effect is an experimentally
observed manifestation of the nonlinear behavior of materials. To
understand the nature of this effect, we have considered the
constitutive relations for an isotropic elastic material taking
into account dilatation effects and possible departure of the material
properties from the special isotropy postulate
(A. A. Il'yushin). A mathematical model governing the behavior of
a solid cylinder subject to combined action of an axial force
and a torque is constructed. The analysis of this model shows that
the Pointing effect can be described by using a simple model which
takes into account the geometrical nonlinearity in the material
behavior.
The possibility of using solid cylinders as
specimens in the tests for simultaneous tension and torsion
is investigated for the case of finite strains.
It is shown that the material constants
occurring in the constitutive relations can be found from two
experiments- for tension and torsion of
a solid cylinder with fixed end surfaces. |
| References |
| 1. | J. F. Bell, Experimental Foundations of Mechanics of
Solids. Part 2 [Russian translation], Nauka, Moscow,
1984. |
| 2. | A. A. Il'yushin, Continuum Mechanics [in Russian],
Izd-vo MGU, Moscow, 1990. |
| 3. | M. O. Glagoleva, A. A. Markin, N. M. Matchenko, and
A. A. Treshchev, "Properties of isotropic elastic materials,"
Izv. Tuls. Un-ta. Ser. Matematika. Mekhanika. Informatika, Vol. 4,
No. 2, pp. 15-19, 1998. |
| 4. | R. A. Vasin, A. A. Il'yushin, and P. A. Mossakovskii,
"Analysis of the constitutive relations and fracture criteria by
using solid and thick-walled cylindrical specimens," Izv. AN. MTT
[Mechanics of Solids], No. 2, pp. 177-184, 1994. |
|
| Received |
14 December 1999 |
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