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Published in: Experimental Mechanics 4/2014

01-04-2014

Experimental Thermomechanical Analysis of Elastomers Under Uni- and Biaxial Tensile Stress State

Authors: U. D. Çakmak, Z. Major

Published in: Experimental Mechanics | Issue 4/2014

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Abstract

The objective of the present work is to demonstrate an experimental methodology to determine the viscoelastic material behavior of elastomers independent of the mechanical loading conditions. For this purpose two model materials (elastic and damper formulation) were investigated. The experimental effort ranged from classical uniaxial dynamic thermomechanical analysis (DTMA) and monotonic loading to monotonic biaxial testing. The performed monotonic experiments were loading rate and temperature dependent. Before applying the experimental methodology, some fundamental presumptions had to be verified. First, the applicability of the well-known time-temperature superposition principle to the elastomers, and second the separation of thermomechanical loadings, in which the temperature effects on the mechanical behavior of the materials could be characterized by an appropriate shift factor function; if this function is fundamental, then it should be independent of the mechanical loading condition. The shift factor functions were determined for the investigated elastomers from the DTMA results and were applied for the monotonic uni- and biaxial loading. Two biaxial tests (bulge test and planar biaxial tension test) were performed to show a direct calculation method for the stresses from planar biaxial tests by utilizing FEA with a material model, whose parameters were defined by the bulge test results.

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Literature
2.
go back to reference Rivlin RS (1948) Large elastic deformations of isotropic materials IV Further developments of the general theory. Philos Trans R Soc London, Ser A 241(835):379–397CrossRefMATHMathSciNet Rivlin RS (1948) Large elastic deformations of isotropic materials IV Further developments of the general theory. Philos Trans R Soc London, Ser A 241(835):379–397CrossRefMATHMathSciNet
3.
go back to reference Ogden RW (1972) Large deformation isotropic elasticity-on the correlation of theory and experiment for incompressible rubberlike solids. Philos Trans R Soc London, Ser A 326(1567):565–584CrossRefMATH Ogden RW (1972) Large deformation isotropic elasticity-on the correlation of theory and experiment for incompressible rubberlike solids. Philos Trans R Soc London, Ser A 326(1567):565–584CrossRefMATH
4.
go back to reference Treloar LRG (1973) The elasticity and related properties of rubbers. Rep Prog Phys 36(7):755CrossRef Treloar LRG (1973) The elasticity and related properties of rubbers. Rep Prog Phys 36(7):755CrossRef
5.
go back to reference Lambert-Diani J, Rey C (1999) New phenomenological behavior laws for rubbers and thermoplastic elastomers. Eur J Mech A-Solids 18(6):1027–1043CrossRefMATH Lambert-Diani J, Rey C (1999) New phenomenological behavior laws for rubbers and thermoplastic elastomers. Eur J Mech A-Solids 18(6):1027–1043CrossRefMATH
6.
7.
go back to reference Steinmann P, Hossain M, Possart G (2012) Hyperelastic models for rubber-like materials: consistent tangent operators and suitability for Treloar’s data. Arch Appl Mech 82(9):1183–1217CrossRef Steinmann P, Hossain M, Possart G (2012) Hyperelastic models for rubber-like materials: consistent tangent operators and suitability for Treloar’s data. Arch Appl Mech 82(9):1183–1217CrossRef
8.
go back to reference Boyce MC, Arruda EM (2000) Constitutive models of rubber elasticity: a review. Rubber Chem Technol 73(3):504–523CrossRef Boyce MC, Arruda EM (2000) Constitutive models of rubber elasticity: a review. Rubber Chem Technol 73(3):504–523CrossRef
9.
go back to reference Bergström JS, Boyce MC (1998) Constitutive modeling of the large strain time-dependent behavior of elastomers. J Mech Phy Solids 46(5):931–954CrossRefMATH Bergström JS, Boyce MC (1998) Constitutive modeling of the large strain time-dependent behavior of elastomers. J Mech Phy Solids 46(5):931–954CrossRefMATH
10.
go back to reference Lion A (1997) On the large deformation behaviour of reinforced rubber at different temperatures. J Mech Phy Solids 45(11):1805–1834CrossRef Lion A (1997) On the large deformation behaviour of reinforced rubber at different temperatures. J Mech Phy Solids 45(11):1805–1834CrossRef
11.
go back to reference Khajehsaeid H, Arghavani J, Naghdabadi R (2013) A hyperelastic constitutive model for rubber-like materials. Eur J Mech A-Solids 38:144–151CrossRefMathSciNet Khajehsaeid H, Arghavani J, Naghdabadi R (2013) A hyperelastic constitutive model for rubber-like materials. Eur J Mech A-Solids 38:144–151CrossRefMathSciNet
12.
go back to reference Charlton DJ, Yang J, Teh KK (1994) A review of methods to characterize rubber elastic behavior for use in finite element analysis. Rubber Chem Technol 67(3):481–503CrossRef Charlton DJ, Yang J, Teh KK (1994) A review of methods to characterize rubber elastic behavior for use in finite element analysis. Rubber Chem Technol 67(3):481–503CrossRef
13.
go back to reference Grambow A (2002) Determination of material parameters for filler rubber depending on time, temperature and load condition. Dissertation, RWTH Aachen Grambow A (2002) Determination of material parameters for filler rubber depending on time, temperature and load condition. Dissertation, RWTH Aachen
14.
go back to reference Guélon T, Toussaint E, Le Cam JB, Promma N, Grédiac M (2009) A new characterisation method for rubber. Polym Test 28(7):715–723CrossRef Guélon T, Toussaint E, Le Cam JB, Promma N, Grédiac M (2009) A new characterisation method for rubber. Polym Test 28(7):715–723CrossRef
15.
go back to reference Williams ML, Landel RF, Ferry JD (1955) The temperature dependence of relaxation mechanisms in amorphous polymers and other glass-forming liquids. J Am Chem Soc 77(14):3701–3707CrossRef Williams ML, Landel RF, Ferry JD (1955) The temperature dependence of relaxation mechanisms in amorphous polymers and other glass-forming liquids. J Am Chem Soc 77(14):3701–3707CrossRef
16.
go back to reference Tschoegl NW, Knauss WG, Emri I (2002) The effect of temperature and pressure on the mechanical properties of thermo-and/or piezorheologically simple polymeric materials in thermodynamic equilibrium–A critical review. Mech Time-Depend Mater 6(1):53–99CrossRef Tschoegl NW, Knauss WG, Emri I (2002) The effect of temperature and pressure on the mechanical properties of thermo-and/or piezorheologically simple polymeric materials in thermodynamic equilibrium–A critical review. Mech Time-Depend Mater 6(1):53–99CrossRef
17.
go back to reference Emri I (2005) Rheology of solid polymers. In: Binding DM, Walters K (eds) Rheology Review 2005. British Society of Rheology, Aberystwyh, pp 49–100 Emri I (2005) Rheology of solid polymers. In: Binding DM, Walters K (eds) Rheology Review 2005. British Society of Rheology, Aberystwyh, pp 49–100
18.
go back to reference Çakmak UD, Hiptmair F, Major Z (2013) Applicability of elastomer time-dependent behavior in dynamic mechanical damping systems. Mech Time-Depend Mater. doi:10.1007/s11043-013-9219-z Çakmak UD, Hiptmair F, Major Z (2013) Applicability of elastomer time-dependent behavior in dynamic mechanical damping systems. Mech Time-Depend Mater. doi:10.​1007/​s11043-013-9219-z
19.
go back to reference Jones DIG (2001) Handbook of viscoelastic vibration damping. Wiley, New York Jones DIG (2001) Handbook of viscoelastic vibration damping. Wiley, New York
20.
go back to reference Nakano T (2013) Applicability condition of time–temperature superposition principle (TTSP) to a multi-phase system. Mech Time-Depend Mater 17(3):439–447CrossRef Nakano T (2013) Applicability condition of time–temperature superposition principle (TTSP) to a multi-phase system. Mech Time-Depend Mater 17(3):439–447CrossRef
21.
go back to reference Miyano Y, Nakada M (2006) Time and temperature dependent fatigue strengths for three directions of unidirectional CFRP. Exp Mech 46(2):155–162CrossRef Miyano Y, Nakada M (2006) Time and temperature dependent fatigue strengths for three directions of unidirectional CFRP. Exp Mech 46(2):155–162CrossRef
22.
go back to reference Zouani A, Bui-Quoc T, Bernard M (1999) Cyclic stress–strain data analysis under biaxial tensile stress state. Exp Mech 39(2):92–102CrossRef Zouani A, Bui-Quoc T, Bernard M (1999) Cyclic stress–strain data analysis under biaxial tensile stress state. Exp Mech 39(2):92–102CrossRef
23.
go back to reference Reuge N, Schmidt FM, Le Maoult Y, Rachik M, Abbé F (2001) Elastomer biaxial characterization using bubble inflation technique. I: experimental investigations. Polym Eng Sci 41(3):522–531CrossRef Reuge N, Schmidt FM, Le Maoult Y, Rachik M, Abbé F (2001) Elastomer biaxial characterization using bubble inflation technique. I: experimental investigations. Polym Eng Sci 41(3):522–531CrossRef
24.
go back to reference Promma N, Raka B, Grédiac M, Toussaint E, Le Cam JB, Balandraud X, Hild F (2009) Application of the virtual fields method to mechanical characterization of elastomeric materials. Int J Solids Struct 46(3):698–715CrossRefMATH Promma N, Raka B, Grédiac M, Toussaint E, Le Cam JB, Balandraud X, Hild F (2009) Application of the virtual fields method to mechanical characterization of elastomeric materials. Int J Solids Struct 46(3):698–715CrossRefMATH
25.
go back to reference Johlitz M, Diebels S (2011) Characterisation of a polymer using biaxial tension tests. Part I: Hyperelasticity. Arch Appl Mech 81(10):1333–1349CrossRefMATH Johlitz M, Diebels S (2011) Characterisation of a polymer using biaxial tension tests. Part I: Hyperelasticity. Arch Appl Mech 81(10):1333–1349CrossRefMATH
26.
go back to reference Treloar LRG (1944) Strains in an inflated rubber sheet, and the mechanism of bursting. Rubber Chem Technol 17(4):957–967CrossRef Treloar LRG (1944) Strains in an inflated rubber sheet, and the mechanism of bursting. Rubber Chem Technol 17(4):957–967CrossRef
27.
go back to reference Sasso M, Palmieri G, Chiappini G, Amodio D (2008) Characterization of hyperelastic rubber-like materials by biaxial and uniaxial stretching tests based on optical methods. Polym Test 27(8):995–1004CrossRef Sasso M, Palmieri G, Chiappini G, Amodio D (2008) Characterization of hyperelastic rubber-like materials by biaxial and uniaxial stretching tests based on optical methods. Polym Test 27(8):995–1004CrossRef
28.
go back to reference Machado G, Favier D, Chagnon G (2012) Membrane curvatures and stress–strain full fields of axisymmetric bulge tests from 3D-DIC measurements. Theory and validation on virtual and experimental results. Exp Mech 52(7):865–880CrossRef Machado G, Favier D, Chagnon G (2012) Membrane curvatures and stress–strain full fields of axisymmetric bulge tests from 3D-DIC measurements. Theory and validation on virtual and experimental results. Exp Mech 52(7):865–880CrossRef
29.
go back to reference Grolleau V, Gary G, Mohr D (2008) Biaxial testing of sheet materials at high strain rates using viscoelastic bars. Exp Mech 48(3):293–306CrossRef Grolleau V, Gary G, Mohr D (2008) Biaxial testing of sheet materials at high strain rates using viscoelastic bars. Exp Mech 48(3):293–306CrossRef
30.
go back to reference Dong X, Zhang C, Feng X, Hwang KC (2013) Full-field measurement of topography and curvature by coherent gradient sensing method at high temperature. Exp Mech. doi:10.1007/s11340-013-9713-x Dong X, Zhang C, Feng X, Hwang KC (2013) Full-field measurement of topography and curvature by coherent gradient sensing method at high temperature. Exp Mech. doi:10.​1007/​s11340-013-9713-x
31.
go back to reference Arenz RJ, Landel RF, Tsuge K (1975) Miniature load-cell instrumentation for finite-deformation biaxial testing of elastomers. Exp Mech 15(3):114–120CrossRef Arenz RJ, Landel RF, Tsuge K (1975) Miniature load-cell instrumentation for finite-deformation biaxial testing of elastomers. Exp Mech 15(3):114–120CrossRef
32.
go back to reference Seki W, Fukahori Y, Iseda Y, Matsunaga T (1987) A large-deformation finite-element analysis for multilayer elastomeric bearings. Rubber Chem Technol 60(5):856–869CrossRef Seki W, Fukahori Y, Iseda Y, Matsunaga T (1987) A large-deformation finite-element analysis for multilayer elastomeric bearings. Rubber Chem Technol 60(5):856–869CrossRef
33.
go back to reference Hannon A, Tiernan P (2008) A review of planar biaxial tensile test systems for sheet metal. J Mater Process Tech 198(1):1–13CrossRef Hannon A, Tiernan P (2008) A review of planar biaxial tensile test systems for sheet metal. J Mater Process Tech 198(1):1–13CrossRef
34.
go back to reference Bergström J (2009) PolyUMod User’s Manual. Veryst Engineering, LLC, Needham, MA Bergström J (2009) PolyUMod User’s Manual. Veryst Engineering, LLC, Needham, MA
Metadata
Title
Experimental Thermomechanical Analysis of Elastomers Under Uni- and Biaxial Tensile Stress State
Authors
U. D. Çakmak
Z. Major
Publication date
01-04-2014
Publisher
Springer US
Published in
Experimental Mechanics / Issue 4/2014
Print ISSN: 0014-4851
Electronic ISSN: 1741-2765
DOI
https://doi.org/10.1007/s11340-013-9820-8

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