 | | 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 48, Issue 3 / 2013 | Next article >> |
| V.R. Bogdanov and G.T. Sulim, "Plain Deformation of Elastoplastic Material with Profile Shaped as a Compact Specimen (Dynamic Loading)," Mech. Solids. 48 (3), 329-336 (2013) |
| Year |
2013 |
Volume |
48 |
Number |
3 |
Pages |
329-336 |
| DOI |
10.3103/S0025654413030096 |
| Title |
Plain Deformation of Elastoplastic Material with Profile Shaped as a Compact Specimen (Dynamic Loading) |
| Author(s) |
V.R. Bogdanov (National Transport University, Suvorova 1, Kiev, 01010 Ukraine, vladislav_bogdanov@hotmail.com)
G.T. Sulim (Ivan Franko National University of L'viv, Universytetskaya 1, Lviv, 79000 Ukraine, sulym@franko.lviv.ua) |
| Abstract |
Several methods for solving dynamic problems of plane deformed state in elastoplastic statement are developed. Numerical solution was obtained for a material whose cross-section is shaped as a rectangle with a saw-cut crack in the middle (compact profile) in the case of three-point bending by using the finite difference method. Numerical results are illustrated by figures and tables. The obtained results are compared with the results of the problem of spatial and plane stress state. The values of plastic strains, stresses, principal stresses, and the Odquist parameter are given. |
| Keywords |
compact profile, plastic strain, crack tip |
| References |
| 1. | V. I. Makhnenko,
"Improvement of Methods for Estimation of Residual Life of Welded Joints in Durable Structures,"
Avtomatich. Svarka,
No. 10-11, 112-121 (2003)
[Paton Welding J. (Engl. Transl.),
No. 10-11, 107-116 (2003)]. |
| 2. | V. R. Bogdanov,
"Determination of Fracture Viscosity of a Material on the Basis of Numerical Modeling of
Plane Deformed State,"
Vestnik Kiev Nats. Un-tu. Ser. Fiz.-Mat. Nauki,
No. 3, 51-56 (2008). |
| 3. | V. R. Bogdanov,
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Tips,"
Vestnik Kiev Nats. Un-tu. Ser. Fiz.-Mat. Nauki,
No. 2, 51-56 (2009). |
| 4. | V. R. Bogdanov and G. T. Sulim,
"Determination of Fracture Viscisity of a Material on the Basis of Numerical
Modeling of Three-Dimensional Dynamic Problem,"
in Intern. Sci.-Techn. Collection of Papers
"Reliability and Durability of Machines and Constructions",
No. 33, 153-166 (2010). |
| 5. | V. R. Bogdanov and G. T. Sulim,
"Dynamic Development of Cracks by Compact Version of Elastoplastic Model of
Plain Deformed State,"
Vestnik Kiev Nats. Un-tu. Ser. Fiz.-Mat. Nauki,
No. 4, 51-54 (2010). |
| 6. | V. R. Bogdanov and G. T. Sulim,
"Modeling of Crack Motion by Solving the Problem of Plane Deformed State,"
Vestnik Lviv Nats. Un-tu. Ser. Fiz.-Mat. Nauki,
No. 73, 192-204 (2010). |
| 7. | V. R. Bogdanov and G. T. Sulim,
"Modeling of Crack Extension by Numerical Solution of the Problem of Plane
Deformed State,"
Probl. Obchislov. Mekh. Mishchnosti Konstr., Dnepropetrovsk,
No. 15, 33-44 (2011). |
| 8. | Yu. V. Nemirovskii and T. P. Romanova,
"Dynamics of a Rigid-Plastic Curvilinear Plate of Varying Thickness with an Arbitrary Hole,"
Prikl. Mekh.
46 (3), 70-82 (2010)
[Int. Appl. Mech. (Engl. Transl.)
46 (3), 304-314 (2010)]. |
| 9. | V. D. Kubenko and V. R. Bogdanov,
"Planar Problem of the Impact of a Shell on an Elastic Half-Space,"
Prikl. Mekh.
31 (6), 78-86 (1995)
[Int. Appl. Mech. (Engl. Transl.)
31 (6), 483-490 (1995)]. |
| 10. | E. L. Zyukina,
"Conservative Difference Schemes on Uniform Grids for Two-Dimensional Wave Equations,"
in Proc. N. I. Lobachevskii Math. Center, Vol. 26
(Kazan, 2004),
pp. 151-160
[in Russian]. |
|
| Received |
28 June 2011 |
| Link to Fulltext |
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