 | | 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: | | 12949 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8096
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| In English (Mech. Solids): | | 4853 |
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| A.A. Adamov, I.E. Keller, S.G. Zhilin, and N.A. Bogdanova, "Identification of the Cap Model of Elastoplasticity of Non-Compact Media Under Compressive Mean Stress," Mech. Solids. 59 (4), 1868-1880 (2024) |
| Year |
2024 |
Volume |
59 |
Number |
4 |
Pages |
1868-1880 |
| DOI |
10.1134/S002565442460291X |
| Title |
Identification of the Cap Model of Elastoplasticity of Non-Compact Media Under Compressive Mean Stress |
| Author(s) |
A.A. Adamov (Institute of Continuous MediaMechanics of the Ural Branch of Russian Academy of Science, Perm, 614000 Russia, adamov@icmm.ru)
I.E. Keller (Institute of Continuous MediaMechanics of the Ural Branch of Russian Academy of Science, Perm, 614000 Russia, kie@icmm.ru)
S.G. Zhilin (Institute of Mechanical Engineering and Metallurgy of the Far Eastern Branch of the Russian Academy of Sciences, Komsomolsk-on-Amur, 681005 Russia, zhilin@imim.ru)
N.A. Bogdanova (Institute of Mechanical Engineering and Metallurgy of the Far Eastern Branch of the Russian Academy of Sciences, Komsomolsk-on-Amur, 681005 Russia, joyful289@inbox.ru) |
| Abstract |
A program of basic tests and a method for identifying a three-dimensional model of the
elastoplastic behavior of an isotropic porous or powdery consolidated medium experiencing arbitrary
quasi-static loading under compressive medium stress at room temperature are proposed. The
medium under consideration under compressive medium stresses is compacted with increasing effective stress, which leads to a nonlinear change in elastic modules, hardening and dilatancy (coupling of
shear and volumetric components of deformations) in the yield region. To describe this behavior, the cap model of DiMaggio and Sandler, which is present in application software packages, is considered.
As basic tests, the free and constrained compression of a cylindrical sample is considered according to
a special program containing the stages of loading and unloading with a sequential increase in the
amplitude voltage. Samples with a given porosity for free compression tests are manufactured using
a tight compression test rig. According to the initial slope of the discharge curves, the values of the
elastic modulus for free and constrained compression are determined in a certain range of porosity
changes, according to which the Poisson’s ratio is determined. The five constants of the cap model are
correctly and explicitly determined by the deformation curve of the material under constrained compression over a wide range of changes in axial deformation (and density), the flow stress under free
compression of the sample at some density, and the assumption that the coefficient of transverse
deformation in the yield region is equal to the Poisson’s ratio. The elastic and plastic constants were
determined according to the test data of powdered paraffin grade T1 with a fraction of 0.63 mm. The
corresponding model is applicable for numerical simulation of extrusion processes and mold filling for
casting by melting models, processes for manufacturing blanks of non-melting polymer composites by
powder technology, stamping sealing elements from flexible graphite and other pressure treatment processes of non-compact media. |
| Keywords |
non-compact media, densification, cap models of plasticity, elastic constants, identification, experiment, powdered paraffin |
| Received |
30 January 2024 | Revised |
30 January 2024 | Accepted |
30 January 2024 |
| Link to Fulltext |
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