| | 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 |
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Yu.P. Zezin and E.V. Lomakin, "Nonlinear Effects in Deformation of Filled Elastomers with Nanodimensional Fillers," Mech. Solids. 51 (3), 308-314 (2016) |
Year |
2016 |
Volume |
51 |
Number |
3 |
Pages |
308-314 |
DOI |
10.3103/S0025654416030079 |
Title |
Nonlinear Effects in Deformation of Filled Elastomers with Nanodimensional Fillers |
Author(s) |
Yu.P. Zezin (Institute of Mechanics, Lomonosov Moscow State University, Michurinskii pr. 1, Moscow, 119192 Russia, yuzezin@gmail.com)
E.V. Lomakin (Lomonosov Moscow State University, Moscow, 119992 Russia; Moscow Aviation Institute (National Research University), Volokolamskoe sh. 4, Moscow, 125993 Russia, evlomakin@yandex.ru) |
Abstract |
Various nonlinear effects manifesting themselves in the deformation of filled elastomers are analyzed, and the advantages and restrictions in the use of several constitutive relations proposed to describe the nonlinear viscoelastic behavior of the materials under study are discussed. We also note that further development of models of nonlinear deformation of filled elastomers under finite strains, which would permit describing their deformation properties more completely, is highly desirable. |
Keywords |
elastomer composite, viscoelasticity, finite strain, nonlinear property, stress relaxation, experimental study, constitutive relations |
References |
1. | E. H. Lee,
"Viscoelastic Stress Analysis,"
in Proc. of the First Symposium of Naval Structural Mechanics
(New York-Oxford-London-Paris, 1960). |
2. | J. E. Fitzgerald and R. J. Farris,
"Deficiencies of Viscoelastic Theories as Applied to Solid Propellants"
in Bull. 1st Joint Army Navy-NASA-Air Force Meet. of the Working Group of Mech. Beh.
(1970). |
3. | A. N. Gent,
"Detachment of an Elastic Matrix from a Rigid Spherical Inclusion,"
J. Mater. Sci.
15, 2884-2888 (1980). |
4. | Z. Rigbi,
"Reinforcement of Rubber by Carbon Black,"
Adv. Polymer Sci.
36 (21), 21-68 (1980). |
5. | L. Mullins,
"Effect of Stretching on the Properties of Rubber,"
J. Rubber Res.
16 (12), 275-289 (1947). |
6. | L. Mullins,
"Thixotropic Behavior of Carbon Black in Rubber,"
J. Phys. Colloid Chem.
54 (2), 239-251 (1950). |
7. | L. Mullins,
"Softening of Rubber by Deformation,"
Rubber Chem. Technol.
42 (1), 339-362 (1969). |
8. | Yu. P. Zezin,
"Mechanics of Highly Filled Polymer Materials,"
in Deformation and Fracture of Solids,
Ed. by N. I. Malinin and S. A. Shesterikov
(Izdat. MGU, Moscow, 1975),
pp. 95-102
[in Russian]. |
9. | S. Govindjee and J. Simo,
"A Micro-Mechanically Based Continuum Damage Model
for Carbon Black-Filled Rubbers Incorporating Mullins' Effect,"
J. Mech. Phys. Solids
39 (1), 87-112 (1991). |
10. | J. E. Fitzgerald and J. Vakili,
"Nonlinear Characterization of Sand Asphalt Concrete by Means of Permanent Memory Norms,".
Exper. Mech.
13 (12), 504-510 (1973). |
11. | J. Beily,
"Scratch-Resistance Power of Glass and Its Measurement,"
Ceram. Abstr.
19, 291-296 (1940). |
12. | A. H. Lepie and A. Adicoff,
"Dynamic Mechanical Behavior of Highly Filled Polymers: Energy Balances and Damage,"
J. Appl. Polymer Sci.
18 (7), 2165-2176 (1974). |
13. | J. E. Fitzgerald,
"On the General Theory of Steklov-Aging Materials,"
Reol. Acta
12 (2), 311-318 (1973). |
14. | A. A. Il'yushin,
"On a Theory of Long-Term Strength,"
Izv. Akad. Nauk SSSR. Mekh. Tverd. Tela,
No. 3, 21-25 (1967)
[Mech. Solids (Engl. Transl.)]. |
15. | V. P. Trifonov and N. I. Malinin,
"On the Relationship between Stresses and Strains for Polymer Materials
with the Properties of Permanent Memory,"
Nauchn. Tr. Inst. Mekh. Mosk. Gos. Univ.,
No. 37, 87-93 (1975). |
16. | Yu. P. Zezin and N. I. Malinin,
"Experimental Verification of Fitzgerald's Concept of Permanent Memory of Filled Polymers,"
Izv. Akad. Nauk SSSR. Mekh. Tverd. Tela,
No. 3, 125-129 (1977)
[Mech. Solids. (Engl. Transl.)]. |
17. | Yu. P. Zezin and N. I. Malinin, "Methods for Describing the
Deformation and Strength Properties of Highly Filled Polymer
Systems,"
Mekh. Komp. Mater., No. 4, 592-600 (1980) [Mech. Comp. Mater. (Engl. Transl.)
16 (4), 405-411 (1980)]. |
18. | G. Holzapfel and J. Simo,
"A New Viscoelastic Constitutive Model for Continuous Media
at Finite Thermomechanical Changes,"
Int. J. Solids Struct.
33 (20-22), 3013-303418 (1996). |
19. | Yu. I. Dimitrienko,
"Novel Viscoelastic Models for Elastomers under Finite Strains,"
Eur. J. Mech. A. Solids
21 (1), 113-150 (2002). |
20. | D. L. Bykov and N. D. Konovalov,
"Nonlinear Endochronous Theory of Aging Viscoelastic Materials,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 4, 63-76 (2002)
[Mech. Solids (Engl. Transl.)
37 (4), 52-62 (2002)]. |
21. | D. L. Bykov and N. D. Konovalov,
"Endochronic Model of Mechanical Behavior of Ageing Viscoelastic Materials at Finite Strains,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 6, 136-148 (2006)
[Mech. Solids (Engl. Transl.)
41 (6), 110-120 (2006)]. |
22. | T. A. Belyakova, Yu. P. Zezin, and E. V. Lomakin,
"Thermoviscohyperelastic Behavior of Elastomeric Materials
Modified by Filler Nanoparticles," Izv. Akad. Nauk. Mekh. Tverd.
Tela, No. 4, 63-81 (2010) [Mech. Solids (Engl. Transl.)
45 (4), 546-561 (2010)]. |
23. | Z. Chen, J. L. Atwood, and Y.-W. Mai,
"Rate-Dependent Transition from Thermal Softening to Hardening in Elastomers,"
Trans. ASME. J. Appl. Mech.
70 (7), 611-612 (2003). |
24. | K. F. Chernykh and Z. N. Litvinenkova,
Theory of Large Elastic Strains
(Izd-vo LGU, Leningrad, 1988)
[in Russian]. |
25. | Yu. P. Zezin and E. V. Lomakin,
"Study of Viscoelastic Properties of Elastomers Reinforced by Nanoparticles,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 2, 6-19 (2015)
[Mech. Solids (Engl. Transl.)
50 (2), 117-126 (2015)]. |
|
Received |
25 October 2015 |
Link to Fulltext |
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