Abstract
Elastomers constitute an essential group of materials that are widely used in the automotive, aerospace industry, biomedical, microfluidic and signal processing applications. Elastomeric materials undergo large deformations without fracture and exhibit time dependency under a prescribed displacement or load. Characterization of elastomeric materials can be challenging, hence the use of a proper constitutive model that captures the behavior of elastomeric materials is essential. Experimental data obtained from simple uniaxial tension tests and creep tests performed at various constant stress levels using dog bone samples were used to approximate hyperelasticity and the time-dependent responses of the material respectively. The experimental results suggested that the instantaneous strains were largely responsible for the nonlinear behavior of the material. Thus, a rheological hyper-viscoelastic constitutive model consisting of a nonlinear spring, which would capture the nonlinear instantaneous strains, and a two parameter Kelvin-Voight model, which would model the linear time-dependent strain responses, was developed. The Mooney-Rivlin model, a classic phenomenological hyperelastic model, was used to represent the nonlinear spring. The resulting hyper-visco constitutive model, which obeys the Boltzmann’s superposition principle, was used for numerical predictions of time-dependent behavior of this material in a commercial finite element software (Abaqus). The creep deformations predicted using this approach demonstrated good consistency with experimental results over the applied range of stresses and the duration of time measurements.
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References
Maitz, M.F.: Applications of synthetic polymers in clinical medicine. Biosurface Biotribol. 1(3), 161–176 (2015)
Das, P.S., Park, J.-Y.: A flexible touch sensor based on conductive elastomer for biopotential monitoring applications. Biomed. Signal Process. Control. 33, 72–82 (2017)
Alnaimat, F.A., Shepherd, D.E.T., Dearn, K.D.: Crack growth in medical-grade silicone and polyurethane ether elastomers. Polym. Test. 62, 225 (2017)
Yu, S., Ng, S.P., Wang, Z., Tham, C.L., Soh, Y.C.: Thermal bonding of thermoplastic elastomer film to PMMA for microfluidic applications. Surf. Coat. Technol. 320, 437–440 (2017)
Mohd Ghazali, F.A., Mah, C.K., AbuZaiter, A., Chee, P.S., Mohamed Ali, M.S.: Soft dielectric elastomer actuator micropump. Sensors Actuators A Phys. 263, 276–284 (2017)
Branz, F., Francesconi, A.: Experimental evaluation of a Dielectric Elastomer robotic arm for space applications. Acta Astronaut. 133, 324–333 (2017)
Treloar, L.R.G.: Stress-strain data for vulcanised rubber under various types of deformation. Trans. Faraday Soc. 40(0), 59–70 (1944)
Rivlin, R.S., Thomas, A.G.: The effect of stress relaxation on the tearing of vulcanized rubber. Eng. Fract. Mech. 18(2), 389–401 (1983)
Arruda, E.M., Boyce, M.C.: A three-dimensional constitutive model for the large stretch behavior of rubber elastic materials. J. Mech. Phys. Solids. 41(2), 389–412 (1993)
Attard, M.M., Hunt, G.W.: Hyperelastic constitutive modeling under finite strain. Int. J. Solids Struct. 41(18), 5327–5350 (2004)
Mills, N.J.: Handbook of polymeric foams and foam technology. Polymer. 34(10), 2237 (1993)
Dowling, N.E.: Mechanical Behavior of Materials. Pearson Prentice Hall, Upper Saddle River (2012)
Schapery, R.A.: On the characterization of nonlinear viscoelastic materials. Polym. Eng. Sci. 9(4), 295–310 (1969)
Allan, B.F.: Applied Mechanics of Solids. Taylor & Francis Group, Boca Raton (2012)
Rivlin, R.S.: Chapter 10 – Large elastic deformations A2. In: Eirich, F.R. (ed.) Rheology, pp. 351–385. Academic, New York (1956)
Ogden, R.W.: Large deformation isotropic elasticity – on the correlation of theory and experiment for incompressible rubberlike solids. Proc. R. Soc. Lond. A Math. Phys. Sci. 326, 565–584 (1972)
Treloar, L.R.G.: The statistical length of long-chain molecules. Trans. Faraday Soc. 42(0), 77–82 (1946)
Ghoreishy, M.H.R.: Determination of the parameters of the Prony series in hyper-viscoelastic material models using the finite element method. Mater. Des. 35, 791–797 (2012)
Briody, C., Duignan, B., Jerrams, S., Ronan, S.: Prediction of compressive creep behaviour in flexible polyurethane foam over long time scales and at elevated temperatures. Polym. Test. 31(8), 1019–1025 (2012)
ABAQUS: Abaqus Benchmarks Manual 6.12. Simulia (2012)
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Harban, K., Tuttle, M. (2019). Modified Hyper-Viscoelastic Constitutive Model for Elastomeric Materials. In: Arzoumanidis, A., Silberstein, M., Amirkhizi, A. (eds) Challenges in Mechanics of Time-Dependent Materials, Volume 2. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-95053-2_1
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DOI: https://doi.org/10.1007/978-3-319-95053-2_1
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