 | | 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: | | 11223 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
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| In English (Mech. Solids): | | 3212 |
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| O.L. Shved, "Murnaghan's Elastoplastic Material Model," Mech. Solids. 54 (5), 819-831 (2019) |
| Year |
2019 |
Volume |
54 |
Number |
5 |
Pages |
819-831 |
| DOI |
10.3103/S0025654419050169 |
| Title |
Murnaghan's Elastoplastic Material Model |
| Author(s) |
O.L. Shved (United Institute of Informatics Problems (UIIP), National Academy of Sciences of Belarus, Minsk, 220012, Belarus, swed@newman.bas-net.by) |
| Abstract |
Murnaghan’s model of elastic material is generalized to an elastoplastic material. It is
assumed that the active process occurs via alternating between the plastic and elastic states. The deformation gradient is replaced by a nonsingular tensor, and constitutive equations in the finite form are
written. In addition to Green’s postulate concerning the existence of a stress potential, it is assumed
that there exists a stress rate potential, for which rate the objective derivative is uniquely determined.
This derivative can be obtained via modifying Green-Nakhdi derivative, wherein the spin of the rotation tensor accompanying the general deformation is replaced by a spin of the rotation tensor accompanying the elastic deformation. A deviator section of the yield surface in the stress space is determined, and differential constitutive equations are formulated. A decrease in the elastic deformation
anisotropy under flowing that can lead to an onset of macrocracks is described. |
| Keywords |
Murnaghan’s elastic material, double potentiality, Murnaghan’s elastoplastic material |
| Received |
14 August 2018 | Revised |
14 August 2018 | Accepted |
14 August 2018 |
| Link to Fulltext |
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