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Dynamic visco-hyperelastic behavior of elastomeric hollow cylinder by developing a constitutive equation
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 Title & Authors
Dynamic visco-hyperelastic behavior of elastomeric hollow cylinder by developing a constitutive equation
Asgari, Masoud; Hashemi, Sanaz S.;
 Abstract
In this study, developments of an efficient visco-hyperelastic constitutive equation for describing the time dependent material behavior accurately in dynamic and impact loading and finding related materials constants are considered. Based on proposed constitutive model, behaviour of a hollow cylinder elastomer bushing under different dynamic and impact loading conditions is studied. By implementing the developed visco-hyperelastic constitutive equation to LS-DYNA explicit dynamic finite element software a three dimensional model of the bushing is developed and dynamic behaviour of that in axial and torsional dynamic deformation modes are studied. Dynamic response and induced stress under different impact loadings which is rarely studied in previous researches have been also investigated. Effects of hyperelastic and visco-hyperelastic parameters on deformation and induced stresses as well as strain rate are considered.
 Keywords
visco-hyperelastic constitutive equation;elastomer bushing;impact loading;explicit FEM;
 Language
English
 Cited by
 References
1.
Adkins, J.E. and, A.N. (1954), "Gent load-deflexion relations of rubber bush mountings", Brit. J. Appl. Phys., 5, 340-354. crossref(new window)

2.
Amin, A.F., Alam, M.S. and Okui, Y. (2002), "An improved hyperelasticity relation in modeling viscoelasticity response of natural and high damping rubbers in compression: experiments, parameter identification and numerical verification", Mech. Mater., 34, 75-95. crossref(new window)

3.
Aniskevich, K., Starkova, O., Jansons, J. and Aniskevich, A. (2010), "Viscoelastic properties of a silicafilled styrene-butadiene rubber under uniaxial tension", Mech. Compos. Mater., 46, 375-386. crossref(new window)

4.
Bechir, H., Chevalier, L., Chaouche, M. and Boufala, K. (2006), "Hyperelastic constitutive model for rubber-like materials based on the first Seth strain measures invariant", Eur. J. Mech. A/Solid., 25, 110-124. crossref(new window)

5.
Bergstrom, J.S. and Boyce, M.C. (1998), "Constitutive modeling of the large strain time-dependent behavior of elastomers", J. Mech. Phys. Solid., 46, 931-954. crossref(new window)

6.
Bjornsson, P. and Danielsson, H. (2005), "Strength and creep analysis of glued rubber foil timber joints", 1, 145-158.

7.
Busfield, J.C. and Davies, C.K.L. (2001), "Stiffness of simple bonded elastomer bushes, Part 1-Initial behavior", Plast. Rub. Compos., 30, 243-257. crossref(new window)

8.
Centeno, O. (2009), Finite element modeling of a rubber bushing for crash simulation experimental tests and validation, Structural Mechanics Journal, Sweden.

9.
Chen, J.S. and Wu, C.T. (1997), "On computational issues in large deformation analysis of rubber bushings", Mech. Struct. Mach., 33(5), 327-349.

10.
Diani, J., Brieu, M. and Gilormini, P. (2006), "Observation and modeling of the anisotropic viscohyperelasticbehavior of a rubberlike material", Int. J. Solid. Struct., 43(10), 3044-3056. crossref(new window)

11.
Fung, Y.C. (1965), Foundations of solid mechanics, Upper Saddle River, New Jersey, USA.

12.
Gavin, H. (2011). "The Levenberg-Marquardt method for nonlinear least squares curve-fitting problems", Department of Civil and Environmental Engineering, Duke University, 1-15.

13.
Gent, A. (1996), "A new constitutive relation for rubber", Rub. Chem. Technol., 69, 59-61. crossref(new window)

14.
Goh, S.M., Charalambides, M.N. and Williams, J.G. (2004), "Determination of the constitutive constants of non-linear viscoelastic materials", Mech. Time-Depend. Mater., 8, 255-268. crossref(new window)

15.
Hakansson, P. (2000), "Finite element modeling of a rubber block exposed to shock loading", Diss. Master's Dissertation, Lund University, Lund, Sweden.

16.
Hallquist, J.O. (2006), LS-DYNA Theory Manual, Livermore Software Technology Corporation.

17.
Holzapfel, G. (1996), "On large strain viscoelasticity: continuum formulation and finite element applications to elastomeric structures", Int. J. Numer. Meth. Eng., 39, 3903-3926. crossref(new window)

18.
Hopkinton, Simple Bushings_VAD-Lit: www.barrycontrols.com

19.
Horton, J.M., Gover, M.J. and Tupholme, G.E. (2000), "Stiffness of rubber bush mountings subjected to radial loading", Rub. Chem. Technol., 73, 253-264. crossref(new window)

20.
Huber, N. and Tsakmakis, Ch. (2000), "Finite deformation viscoelasticity laws", Mech. Mater., 32, 1-18 crossref(new window)

21.
James, J.H. and Guth, E. (1943), "Theory of the elastic properties of rubber", J. Chem. Phys., 11, 455-481. crossref(new window)

22.
Kadlowec, J., Gerrard, D. and Pearlman, H. (2009), "Coupled axial-torsional behavior of cylindrical elastomer bushings", Polym. Test., 28, 139-144. crossref(new window)

23.
Kadlowec, J., Wineman, A. and Hulbert, G. (2001), "Coupled response model for elastomeric bushing", Rub. Chem. Technol., 74(2), 338-352. crossref(new window)

24.
Kadlowec, J., Wineman, A. and Hulbert, G. (2003), "Elastomer bushing response: experiments and finite element modelling", Acta Mechanica, 163, 25-38.

25.
Khajehsaeid, H., Baghani, M. and Naghdabadi, R. (2013), "Finite strain numerical analysis of elastomeric bushings under multi-axial loadings: a compressible visco-hyperelastic approach", Int. J. Mech. Mater. Des., 9, 385-399. crossref(new window)

26.
Kim, J., Lee, S. and Min, K.W. (2014), "Design of MR dampers to prevent progressive collapse of moment frames", Struct. Eng. Mech., 52(2), 291-306. crossref(new window)

27.
Macosko, C.W. and Larson, R.G. (1994), "Rheology: principles, measurements, and applications", 1, 145-158.

28.
Martinez, J.M.M. (2006), "Natural rubber by a rubber man", Mater. Today, 9(3), 55-68.

29.
MATLAB Release (2012b), The MathWorks, Inc., Natick, Massachusetts, United States.

30.
More, J. (1978), The Levenberg-Marquardt algorithm: implementation and theory, Numerical analysis, Springer, Berlin Heidelberg.

31.
Naghdabadi, R., Baghani, M. and Arghavani, J. (2012), "A viscoelastic constitutive model for compressible polymers based on logarithmic strain and its finite element implementation", Finite Elem. Anal. Des., 62, 18-27. crossref(new window)

32.
Nilesh, D. and Adivi, K.P. (2011), Modelling of Engine Suspension Components for Crash Simulations.

33.
Ogden, R.W. (1972), "Large deformation isotropic elasticity-on the correlation of theory and experiment for incompressible rubberlike solids", Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences., 326(67), The Royal Society.

34.
Okwu, U.N. and Okieimen, F.E. (2011), "Preparation and properties of thioglycollic acid modified epoxidised natural rubber and its blends with natural rubber", Eur. Polym. J., 37, 2253-2258.

35.
Ouyang, X. (2006), "Constitutive equations of rubber under large tensile strain and high strain rates", Diss. The University of Akron.

36.
Rivlin, R.S., Barenblatt, G.I. and Joseph, D.D. (1997), Collected papers of RS Rivlin, Springer Science & Business Media.

37.
Suarez, L.E. and Gaviria, C.A. (2015), "Dynamic properties of a building with viscous dampers in nonproportional arrangement", Struct. Eng. Mech., 55(6), 1241-1260. crossref(new window)

38.
Treloar, L.R. (2005), The Physics of Rubber Elasticity, Oxford University Press, New York.

39.
Yang, L.M. and Shim, V.P. (2004), "A visco-hyperelastic constitutive description of elastomeric foam", Int. J. Impact Eng., 30, 1099-1110. crossref(new window)

40.
Yang, L.M., Shim, V.P.W. and Lim, C.T. (2002), "A visco-hyperelastic approach to modelling the constitutive behaviour of rubber", Int. J. Impact Eng., 24, 545-560.

41.
Yeoh, O.H. and Fleming, P.D. (1997), "A new attempt to reconcile the statistical and phenomenological theories of rubber elasticity", J. Polym. Sci. B Polym. Phys. Edit., 35, 1919-1932. crossref(new window)