 | | 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: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
|
| In English (Mech. Solids): | | 4810 |
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| E.V. Lomakin and B.N. Fedulov, "Plane Strain Extension of a Strip Made of a Material with Stress State Type Dependent Properties and Weakened by Cuts with Circular Base," Mech. Solids. 48 (4), 424-430 (2013) |
| Year |
2013 |
Volume |
48 |
Number |
4 |
Pages |
424-430 |
| DOI |
10.3103/S0025654413040109 |
| Title |
Plane Strain Extension of a Strip Made of a Material with Stress State Type Dependent Properties and Weakened by Cuts with Circular Base |
| Author(s) |
E.V. Lomakin (Lomonosov Moscow State University, Leninskie Gory, Moscow, 119991 Russia, evlomakin@yandex.ru)
B.N. Fedulov (Lomonosov Moscow State University, Leninskie Gory, Moscow, 119991 Russia, fedulov.b@mail.ru) |
| Abstract |
The limit properties of many heterogeneous materials such as grounds, concrete, ceramics, cast-iron alloys, and various heat-resistant and powder materials, as well as the properties of many composite materials, depend on the loading conditions. Neglecting the effects exhibited by such materials may result in nonconservative limit load analysis for some types of loading and possibly in an overly increased end product weight by failing to take into account stronger material properties for other types of loading. This paper presents a possible approach to modeling the behavior of such materials under plastic deformation, which is demonstrated for the sample problem on the extension of a strip weakened by cuts with circular base. An analytic solution on the basis of a rigid-plastic model of the material and a numerical solution by the finite element method with elastic strains and small strengthening taken into account are presented. |
| Keywords |
plasticity, constitutive relations, dilating medium, limit state, material with stress state type dependent properties |
| References |
| 1. | E. V. Lomakin,
"Plastic Flow of a Dilatant Medium under Plane Strain Conditions,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 6, 58-68 (2000)
[Mech. Solids (Engl. Transl.)
35 (6), 46-54 (2000)]. |
| 2. | B. N. Fedulov, "The Limit Plastic State of a Holed Strip Made of a
Dilatant Material," Vestnik Moskov. Univ. Ser. I. Mat. Mekh.,
No. 6, 40-44 (2007). [Moscow Univ. Mech. Bull. (Engl. Transl.)
62 (6), 160-164 (2007)] |
| 3. | L. M. Kachanov,
Foundations of the Theory of Plasticity
(Nauka, Moscow, 1969; North-Holland, Amsterdam, 1971). |
| 4. | N. Aravas,
"On the Numerical Integration of a Class of Pressure-Dependent Plasticity Models,"
Int. J. Numer. Meth. Engng
24 (7), 1395-1416 (1987). |
|
| Received |
15 March 2013 |
| Link to Fulltext |
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