 | | 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
|
| In English (Mech. Solids): | | 4760 |
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| << Previous article | Volume 50, Issue 6 / 2015 | Next article >> |
| A.V. Manzhirov and D.A. Parshin, "Influence of the Erection Regime on the Stress State of a Viscoelastic Arched Structure Erected by an Additive Technology under the Force of Gravity," Mech. Solids. 50 (6), 657-675 (2015) |
| Year |
2015 |
Volume |
50 |
Number |
6 |
Pages |
657-675 |
| DOI |
10.3103/S0025654415060072 |
| Title |
Influence of the Erection Regime on the Stress State of a Viscoelastic Arched Structure Erected by an Additive Technology under the Force of Gravity |
| Author(s) |
A.V. Manzhirov (A. Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, pr. Vernadskogo 101, str. 1, Moscow, 119526 Russia; Bauman Moscow State Technical University, ul. 2-ya Baumanskaya 5, Moscow, 105005 Russia; National Research Nuclear University MEPhI (Moscow Engineering Physics Institute), Kashirskoe sh. 31, Moscow, 115409 Russia, manzh@inbox.ru)
D.A. Parshin (A. Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, pr. Vernadskogo 101, str. 1, Moscow, 119526 Russia; Bauman Moscow State Technical University, ul. 2-ya Baumanskaya 5, Moscow, 105005 Russia, parshin@ipmnet.ru) |
| Abstract |
We study the influence of gravity forces on additively constructed objects of a viscoelastic aging material (in a special case, of a purely elastic material) in the absence of additional surface loads and prestresses in the accreted material elements. It is shown that the stress-strain state of such objects crucially depends on how the process of their gradual formation evolves in time. The main tendencies whose interaction determines the process of deformation of these objects under a given formation regime are revealed and analyzed. The general reasoning is illustrated by the results of numerous numerical experiments performed in the framework of the model of linear mechanics of accreted bodies, which was developed by the authors for studying the essentially two-dimensional engineering problem on the erection of a heavy circular arched structure (a semicircular vault) on a smooth horizontal base by the method of layer-by-layer thickening of a blank structure previously erected on the base. This problem is used as an example in the detailed studies of the influence of the erection regime of a viscoelastic aging structure on the development of its stress state. We show that it is very important to take into account the influence of gravity forces during the entire process of erection of heavy objects rather than in their final configuration. It is conclusively shown that, without considering this influence, one can arrive at completely false conclusions about the current and resulting states of the erected structures such as overestimation of their strength and stability at the stage of formation and of their bearing capacity in their operation. The possibilities of efficient control of the stress state of the considered arch structure by varying the rate of the additional material accretion to the structure are demonstrated. |
| Keywords |
additive technology, additive formation, accretion, manufacturing, erection, reinforcing, structure, arch, semicircular vault, gravity force, viscoelasticity, aging, elasticity, time regime, structural design, bearing capacity, added material, technological stresses, stress state control |
| References |
| 1. | A. V. Manzhirov and D. A. Parshin,
"Arch Structure Erection by an Additive Manufacturing Technology
under the Action of the Gravity Force,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 5, 94-107 (2015)
[Mech. Solids (Engl. Transl.)
50 (5), 559-570 (2015)]. |
| 2. | A. V. Manzhirov and D. A. Parshin,
"Accretion of a Viscoelastic Ball in a Centrally Symmetric Force Field,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 1, 66-83 (2006)
[Mech. Solids (Engl. Transl.)
41 (1), 51-64 (2006)]. |
| 3. | A. V. Manzhirov and D. A. Parshin,
"Modeling the Accretion of Cylindrical Bodies on a Rotating Mandrel with Centrifugal Forces Taken into Account,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 6, 149-166 (2006)
[Mech. Solids (Engl. Transl.)
41 (6), 121-134 (2006)]. |
| 4. | A. V. Manzhirov and D. A. Parshin,
"Modeling of Deformation Process of Accreted Bodies,"
Vestn. SamGU. Estestv. Ser.,
No. 4(54), 290-303 (2007). |
| 5. | A. V. Manzhirov and D. A. Parshin,
"Related Problems of Accreted Body Mechanics and Geomechanics,"
in Nonclassical Problems of Geomechanics.
Proc. All-Russia Joint Sci. Session of RAS Sci. Councils
in Mechanics of Deformable Solids and in Problems of Rock Sci.,
Yakutsk, June 16-20, 2008,
Ed. by S. M. Tkach
(Izdat. YaNTs SO RAN, Yakutsk, 2008),
pp. 130-137
[in Russian]. |
| 6. | A. V. Manzhirov and S. A. Lychev,
"Mathematical Modeling of Additive Manufacturing Technologies,"
in Lecture Notes in Engineering and Computer Science:
Proc. of the World Congress on Engineering 2014, July 2-4, London, UK, Vol. 2
(IAENG, London, 2014),
pp. 1404-1409. |
| 7. | A. V. Manzhirov and S. A. Lychev,
"An Approach to Modeling of Additive Manufacturing Technologies,"
in Transactions on Engineering Technologies:
The World Congress on Engineering 2014
(Springer, Amsterdam, 2015),
pp. 99-115. |
| 8. | A. V. Manzhirov,
"Design of Additive Manufacturing Fabricated Viscoelastic Parts,"
in Lecture Notes in Engineering and Computer Science:
Proc. of the World Congress on Engineering 2015, July 1-3, London, UK, Vol. 2
(IAENG, London, 2015),
pp. 710-714. |
| 9. | H. B. Dwight,
Tables of Integrals and Other Mathematical Data
(Macmillan, 1964; Nauka, Moscow, 1983). |
| 10. | N. Kh. Arutyunyan,
Several Problems of the Theory of Creep
(Gostekhizdat, Moscow-Leningrad, 1952)
[in Russian]. |
| 11. | N. Kh. Arutyunyan and V. B. Kolmanovskii,
Creep Theory of Inhomogeneous Solids
(Nauka, Moscow, 1983)
[in Russian]. |
| 12. | N. Kh. Arutyunyan and A. V. Manzhirov,
Contact Problems of Theory of Creep
(Izd-vo Inst. Mekaniki NAN RA, Erevan, 1999)
[in Russian]. |
| 13. | N. Kh. Arutyunyan,
"Creep of Aging Materials. Creep of Concrete,"
in Mechanics in USSR during 50 Years, Vol. 3
(Nauka, Moscow, 1972), pp. 155-202
[in Russian]. |
| 14. | I. E. Prokopovich and V. A. Zedgenidze,
Applied Theory of Creep
(Stroiizdat, Moscow, 1980)
[in Russian]. |
| 15. | L. M. Kachanov,
Foundations of the Theory of Creep, 2nd ed.
(Nauka, Moscow, 1969)
[in Russian]. |
|
| Received |
12 December 2014 |
| Link to Fulltext |
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