 | | 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
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| In English (Mech. Solids): | | 4760 |
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| << Previous article | Volume 40, Issue 2 / 2005 | Next article >> |
| K. F. Komkov, "The calculation of the Lode parameters when processing the results of experiments," Mech. Solids. 40 (2), 104-112 (2005) |
| Year |
2005 |
Volume |
40 |
Number |
2 |
Pages |
104-112 |
| Title |
The calculation of the Lode parameters when processing the results of experiments |
| Author(s) |
K. F. Komkov (Moscow) |
| Abstract |
The difference between the Lode parameters for the stresses and strains is
an important indicator of the dependence of the material properties on the
type of the stress state. Investigations of this problem lead to
contradictory conclusions primarily because information on the strains,
which cannot be measured in the experiment, is incomplete.
In the present paper, it is shown that the accuracy of the calculation of
the parameters can be improved significantly on the basis of the analysis
of the analysis of nonlinear tensor equations.
This analysis indicates that the Lode parameter for the stresses is
greater than the corresponding parameter for the strains for all kinds of
the stress state, apart from the boundary states, namely, the generalized
tension or the corresponding compression, in which these parameters are
equal. In addition, it is shown that the value of the difference between
these parameters is approximately two times the tangent of the deviator
similarity phase introduced by V. V. Novozhilov as a generalized
characteristic of the strain properties of materials.
A method for reconstructing the Lode diagrams on the basis of the results
of experiments with tubular samples is proposed. The analysis of
experimental data confirmed the hypothesis proposed earlier that, in the
case of plastic deformation, the change of the shape is occurring so that
the shear compliance in the principal shear stress directions is
characterized in the general case by three different values. This
indicates the strain anisotropy which manifests itself primarily by the
non-similarity of the stress and strain deviators. |
| References |
| 1. | V. Prager, Metal Hardening in a Complex Stress State [Russian
translation], Izd-vo Inostr. Lit-ry, Moscow, 1948. |
| 2. | V. V. Novozhilov, "On the stress-strain relation in a nonlinearly
elastic medium," PMM [J. Applied Mathematics and Mechanics], Vol. 15,
No. 2, pp. 183-194, 1951. |
| 3. | K. F. Komkov, "On the appliction of nonlinear tensor equations in
mechanics of solids," Prikl. Mekhanika, Vol. 27, No. 7, pp. 36-41, 1991. |
| 4. | A. I. Lur'e, Nonlinear Theory of Elasticity [in Russian], Nauka,
Moscow, 1980. |
| 5. | V. Lode, "Effect of the mean principal stress on the yield of
metals," In Theory of Plasticity, Izd-vo Inostr. Lit-ry, Moscow, 1948. |
| 6. | E. Davis, "Stress growth with the variation of strains and the
stress-strain characteristic in the plastic region for copper in a complex
stress state," In Theory of Plasticity, Izd-vo Inostr. Lit-ry, Moscow,
1948. |
| 7. | A. M. Zhukov, "Complex loading in the theory of plasticity for
isotropic metals," Izv. AN SSSR. OTN, No. 8, pp. 81-92, 1955. |
| 8. | O. G. Rybakina and Ya. S. Sidorin, "Experimental investigation of
plastic loosening of metals," Inzh. Zh. MTT, No. 1, pp. 120-124, 1966. |
|
| Received |
02 February 2004 |
| << Previous article | Volume 40, Issue 2 / 2005 | Next article >> |
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