 | | 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 54, Issue 8 / 2019 | Next article >> |
| A.A. Markin and M.Yu. Sokolova, "Variant of Nonlinear Elasticity Relations," Mech. Solids. 54 (8), 1182-1188 (2019) |
| Year |
2019 |
Volume |
54 |
Number |
8 |
Pages |
1182-1188 |
| DOI |
10.3103/S0025654419080089 |
| Title |
Variant of Nonlinear Elasticity Relations |
| Author(s) |
A.A. Markin (Tula State University, pr. Lenina 92, Tula, 300012 Russia)
M.Yu. Sokolova (Tula State University, pr. Lenina 92, Tula, 300012 Russia) |
| Abstract |
A nonlinear model of an isotropic elastic material is proposed, which is a generalization of the Murnagan model, in which the expansion of the specific potential energy of the strains in a series in powers of the Genki logarithmic strain tensor is used. The physical meaning of the constants included in the obtained relations is determined. Along with bulk modulus K and shear modulus G, constants c1, c2, c3 associated with third-order moduli of elasticity were used: the constant c1 reflects the nonlinear dependence of the hydrostatic stress on volumetric deformation, the constant c2 reflects the dilatation effect, and the constant c3 reflects the deviation of the stress state angle from the deformed state angle. The article is dedicated to the blessed memory of outstanding scientists A. A. Ilyushin and L. A. Tolokonnikov, whose ideas were developed in this work. |
| Keywords |
nonlinearity, elasticity, hyperalasticity, finite deformations, Genki tensor, Murnagan material |
| Received |
18 April 2018 |
| Link to Fulltext |
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