Abstract
The effect of ionic interaction on linear and nonlinear viscoelastic properties was investigated using poly(ethylene-co-methacrylic acid) (E/MAA) and its ionomers which were partially neutralized by zinc or sodium. Dynamic shear viscosity and step-shear stress relaxation studies were performed. Stress relaxation moduli G(t, y) of the E/MAA and its sodium or zinc ionomers were factorized into linear relaxation moduli G°(t) and damping functions h(y). The relaxation modulus at the smallest strain in each ionomer agreed with the linear relaxation modulus calculated from storage modulus G′ and loss modulus G″. In the linear region, the ionic interaction shifted the relaxation time longer with keeping the same relaxation time distribution as E/MAA. In the nonlinear region, the ionic interaction had no influence on h(y) when the ion content was low. At higher ion content, however, the ion bonding enhanced the strain softening of h(y).
Similar content being viewed by others
References
Blyler Jr LL, Haas TW (1969) The influence of intermolecular hydrogen bonding on the flow behavior of polymer melts. J Appl Polym Sci 13:2721–2733
Connelly RW, McConkey RC, Noonan JM, Pearson GH (1982) Melt theology of ion-containing polymers. I. Effect of ionic content in a model polyesterionomer. J Polym Sci Polym Phys 20:259–268
Doi M, Edwards SF (1986) The theory of polymer dynamics. Oxford University, Oxford
Earnest Jr TR, MacKnight WJ (1978) Effect of hydrogen bonding and ionic aggregation on the melt rheology of an ethylene-methacrylic acid copolymer and its sodium salt. J Polym Sci, Polym Phys 16:143–157
Einaga Y, Osaki K, Kurata M (1971) Stress relaxation of polymer solution under large strain. Polym J 2:550–552
Einaga Y, Osaki K, Kurata M, Kimura S, Yamada N, Tamura M (1973) Stress relaxation of polymer solutions under large strain. Polym J 5:91–96
Ferry JD (1980) Viscoelastic properties of polymers. John Wiley & Sons Inc, New York
Fetters LJ, Kiss AD, Pearson DS, Quack GF, Vitus FJ (1993) Rheological behavior of star-shaped polymers. Macromolecules 26:647–654
Freitas LL, Stadler R (1987) Thermoplastic elastomers by hydrogen bonding. 3. Interrelations between molecular parameters and rheological properties. Macromolecules 20:2478–2485
Fukuda M, Osaki K, Kurata M (1975) Nonlinear viscoelasticity of polystyrene solutions. I. Strain-dependent relaxation modulus. J Polym Sci, Polym Phys 13:1563–1576
Gouinlock EV, Porter RS (1977) Linear dynamic mechanical properties of an SBS block copolymer. Polym Eng Sci 17:535–543
Hirasawa E, Yamamoto Y, Tadano K, Yano S (1991) Effect of metal cation type on the structure and properties of ethylene ionomers. J Appl Polym Sci 42:351–362
Larson RG (1984) A constitutive equation for polymer melts based on partially extending strand convection. J Rheol 28:545–571
Larson RG (1985) Nonlinear shear relaxation modulus for a linear low-density polyethylene. J Rheol 29(6):823–831
Larson RG (1988) Constitutive equations for polymer melts and solutions. AT&T Bell Laboratories, Inc Boston
Leibler L, Rubinstein M, Colby RH (1991) Dynamics of reversible networks. Macromolecules 24:4701–4707
MacKnight WJ, Earnest Jr TR (1981) The structure and properties of ionomers. J Polym Sci, Macromol Rev 16:41–122
MacKnight WJ, McKenna LW, Read BE, Stein RS (1968 a) Properties of ethylenemetacrylic acid copolymers and their sodium salts: infrared studies. J Phys Chem 72(4):1122–1126
MacKnight WJ, Tajiyama T, McKenna L (1968 b) Structure-mechanical property relationships in ethylene acid copolymer and their salts. Polym Eng Sci 8:267–271
Marrucci G, Bhargava S, Cooper SL (1993) Models of shear-thickening behavior in physically cross-linked networks. Macromolecules 26:6483–6488
Marrucci G, Grizzuti N (1983) The free energy function of the doi-edwards theory: analysis of the instabilities in stress relaxation. J Rheol 27(5):433–450
Osaki K (1981) Rheology of entangled polymeric systems experimental tests of the tube-model theory of doi and edwards. J Soc Rheol Jpn 9:139–148
Osaki K (1993) On the damping function of shear relaxation modulus for entangled polymers. Rheol Acta 32:429–437
Osaki K, Kimura S, Kurata M (1981) Relaxation of shear and normal stresses in step-shear deformation of a polystyrene solution. Comparison with the predictions of the doi-edwards theory. J Polym Sci Polym Phys 19:517–527
Osaki K, Kurata M (1980) Experimental appraisal of the doi-edwards theory for polymer rheology based on the data for polystyrene solution. Macromolecules 13:671–676
Osaki K, Nishizawa K, Kurata M (1982) Material time constant characterizing the nonlinear viscoelasticity of entangled polymeric system. Macromolecules 15:10068–1071
Osaki K, Takatori E, Kurata M, Watanabe H, Yoshida H, Kotaka T (1990) Viscoelastic properties of solutions of starbranched polystyrene. Macromolecules 23:4392–4396
Papanastasiou AC, Scriven LE, Macosko CW (1983) An integral constitutive equation for mixed flows: viscoelastic characterization. J Rheol 27(4):387–410
Phillips PJ, MacKnight WJ (1970) Dielectric relaxation in ethylene-methacrylic acid copolymer and their salts. J Polym Sci, Part-2, 8:727–738
Sakamoto K, MacKnight WJ, Porter RS (1970) Dynamic and steady-shear melt rheology of an ethylene-methacrylic acid copolymer and its salts. J Polym Sci, Part-2, 8:277–287
Schwarzl FR (1975) Numerical calculation of stress relaxation modulus from dynamic data for linear viscoelastic materials. Rheol Acta 14:581–590
Soskey PR, Winter HH (1984) Large step shear strain experiments with paralleldisk rotational rheometers. J Rheol 28:625–645
Stadler R, Freitas LL (1989) Relaxation behavior of linear polymer chains with statistically distributed functional groups. Macromolecules 22:714–719
Tachino H, Hara H, Hirasawa E, Kutsumizu S, Tadano K, Yano S (1993) Dynamic mechanical relaxations of ethylene ionomers. Macromolecules 26:752–757
Tadano K, Hirasawa E, Yamamoto H, Yano S (1989) Order-disorder transition of ionic clusters in ionomers. Macromolecules 22:226–233
Takahashi M, Isaki T, Takigawa T, Masuda T (1993) Measurement of biaxial and uniaxial extentional flow behavior of polymer melts at constant strain rates. J Rheol 37(5):827–846
Takei M, Tsujita Y, Shimada S, Ichihara H, Enokida M, Takizawa A, Kinoshita T (1988) Electron spin resonance studies of manganese (II) and copper (II) salts of poly(ethylene-co-methacrylic acid)s. J Polym Sci, Polym Phys 26:997–1008
Tanaka F, Edwards SF (1992) Viscoelastic properties of physically cross-linked networks. Transient network theory. Macromolecules 25:1516–1523
Tant MR, Wilkes GL (1988) An overview of the viscous and viscoelastic behavior of ionomers in bulk and solution. J Macromol Sci Rev Macromol Chem Phys C28(1):1–63
Vrentas CM, Graessley WW (1982) Study of shear stress relaxation in well-characterized polymer liquids. J Rheol 26(4):359–371
Wu S (1989) Chain structure and entanglement. J Polym Sci, Polym Phys 27:723–741
Yamauchi J, Yano S (1982) ESR studies of structure in ethylene-acrylic acid copolymers neutralized with manganese(II) acetate. Macromolecules 15:210–210
Yano S, Nagao N, Hattori M, Hirasawa E, Tadano K (1992) Dielectric relaxation of ethylene ionomers. Macromolecules 25:368–376
Yano S, Yamashita H, Matsushita M, Aoki K, Yamauchi J (1981) Structure and molecular motion of ethylene-acrylic acid copolymers neutralized with manganese (II) and nickel (II) acetates. Colloid Polym Sci 259:514–521
Yoshikawa K, Toneaki N, Moteki Y, Takahashi M, Masuda T (1990a) Dynamic viscoelasticity and stress relaxation of column-fractionated high density polyethylene melts. J Soc Rheol Jpn 18:87–92
Yoshikawa K, Toneaki N, Moteki Y, Takahashi M, Masuda T (1990b) Dynamic viscoelasticity, stress relaxation and elongational flow behavior of high density polyethylene melts. J Soc Rheol Jpn 18:80–86
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Takahashi, T., Watanabe, J., Minagawa, K. et al. Effect of ionic interaction on linear and nonlinear viscoelastic properties of ethylene based ionomer melts. Rheola Acta 34, 163–171 (1995). https://doi.org/10.1007/BF00398436
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF00398436