Network description of the non-Gaussian stress-optic and Raman scattering responses of elastomer networks

Acta Mechanica

Volumn 134, Issue 1, 1999, Pages 81-107

  Von Lockette, P R ^a   Arruda, E M ^a  

^a UNIVERSITY OF MICHIGAN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AMORPHOUS MATERIALS; BIREFRINGENCE; COMPRESSION TESTING; COMPUTATIONAL METHODS; MATHEMATICAL MODELS; RAMAN SCATTERING; RAMAN SPECTROSCOPY; SHEAR DEFORMATION; SILICONES; STRESS ANALYSIS; TENSORS;

POLYDIMETHYLSILOXANE; RAMAN TENSORS;

ELASTOMERS;

EID: 0032686884     PISSN: 00015970     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01170305     Document Type: Article

References (35)

1. Dally, J. W., Riley, W. F.: Experimental stress analysis. Toronto: McGraw-Hill 1978.
2. Kannan, M. R., Kornfield, J. A.: Stress-optical manifestations of molecular and microstructural dynamics in complex polymer melts. J. Rheol. 38, 1127-1150 (1994).
3. Mead, D. W., Larson, R. G.: Rheooptical study of the isotropic solutions of stiff polymers. Macromolecules 23, 2524-2533 (1990).
4. Mead, D. W., Leal, L. G.: The reptation model with segmental stretch I. Basic equations and general properties. Rheol. Acta 34, 339-359 (1995).
5. Mead, D. W., Yavich, D., Leal, L. G.: The reptation model with segmental stretch II. Steady flow properties. Rheol. Acta 34, 360-383 (1995).
6. Pigeon, M., Prod'homme, R. E., Pézolet, M.: Characterization of molecular orientation in polyethylene by Raman spectroscopy. Macromolecules 24, 5687-5694 (1991).
7. Galiatsatos, V., Mark, J. E.: Non-Gaussian optical properties of bimodal elastomeric networks. Macromolecules 20, 2631-2632 (1987).
8. Galiatsatos, V., Subramanian, P. R.: Stress-optical properties of bimodal polymer networks. Macromol. Chem., Macromol. Symp. 76, 233-240 (1993).
9. Arruda, E. M., Przybylo, P. A.: An investigation into the three-dimensional stress-birefringence-strain relationship in elastomers. Polymer Eng. Sci. 35, 395-402 (1995).
10. Wu, P. D., van der Giessen, E.: On network descriptions of mechanical and optical properties of rubbers. Phil. Mag. A, 71, 1191-1206 (1995).
11. Bower, D. L: Orientation distribution functions for uniaxially oriented polymers. J. Polymer Sci.: Polymer Phys. Ed. 19, 93-107 (1981).
12. Satija, S. K., Wang, C. H.: Polarized Raman scattering studies of chain orientation in hydrostatically extruded polypropylene. J. Chem. Phys. 69, 2739-2744 (1978).
13. Robinson, M. E. R., Bower, D. I., Maddams, W. F.: Molecular orientation in polyvinyl chloride studied by Raman spectroscopy and birefringence measurements. J. Polymer Sci.: Polymer Phys. Ed. 16, 2115-2138 (1978).
14. Bower, D. I., Investigation of molecular orientation distributions by polarized Rarnan scattering and polarized fluorescence. J. Polymer Sci.: Polymer Phys. Ed. 10, 2135-2153 (1972).
15. Bower, D. I: Raman scattering from an assembly of partially oriented scatterers. J. Phys. B: Atom. Mol. Phys. 9, 3275-3293 (1976).
16. Purvis, J., Bower, D. I.: A study of molecular orientation in polymethylmethacrylate by means of laser-Raman spectroscopy. Polymer 15, 645-654 (1974).
17. Purvis, J., Bower, D. I.: Molecular orientation in polyethylene terephthalate by means of laser-Raman spectroscopy. J. Polymer Sci.: Polymer Phys. Ed. 14, 1451-1484 (1976).
18. Jasse, B., Koenig, J. L.: Polarized Raman study of molecular orientation in uniaxially stretched atactic polystyrene. J. Polymer Sci.: Polymer Phys. Ed. 18, 731-738 (1980).
19. Hirsch, J. R., Wang, P. T.: Texture and strength evolution in deformed polypropylene. Text. Microstruct. 13, 101-122 (1991).
20. Aboulfaraj, M., G'Sell, C., Ulrich, B., Dahoun, A.: In situ observation of the plastic deformation of polypropylene spherulites under uniaxial tension and simple shear in the scanning electron microscope. Polymer 36, 731-742 (1995).
21. Arruda, E. M., Ahzi, S., Li, Y., Ganesan, A.: Rate dependent deformation of semi-crystalline polypropylene near room temperature. ASME J. Eng. Mat. Technol. 119, 216-222 (1997).
22. Lin, L., Argon. A. S., Review: structure and plastic deformation of polyethylene. J. Mat. Sci. 29, 294-323 (1994).
23. Lin, L., Argon, A. S.: Rate mechanism of plasticity in the crystalline component of semicrystalline nylon 6. Macromolecules 27, 6903-6914 (1994).
24. Bartczak, Z., Galeski, A., Argon, A. S., Cohen, R. E.: On the plastic deformation of the amorphous component in semicrystalline polymers. Polymer 37, 2113-2123 (1996).
25. Lee. B. J., Parks, D. M., Ahzi, S.: Micromechanical modelling of large plastic deformation and texture evolution in semi-crystalline polymers. J. Mech. Phys. Solids 41, 1651-1687 (1993).
26. Kühn, W., Grün, F.: Beziehungen zwischen elastischen Konstanten und Dehnungsdoppelbrechung hochelastischer Stoffe. Kolloid Z. 101, 248-271 (1942).
27. Wang, M. C., Guth, E. J.: Statistical theory of networks of non-Gaussian flexible chains. J. Chem. Phys. 20, 1144-1157 (1952).
28. Flory, P. J., Rehner Jr., J.: Statistical mechanics of cross-linked polymer networks. J. Chem. Phys. 11, 512-520 (1943).
29. Treloar, L. R. G.: The physics of rubber elasticity. Oxford: Oxford University Press 1975.
30. Mead, D. W., Harris, C. K., Killough, P. M.: Kuhn-Grun analysis of polarized Rayleigh and Raman scattering experiments to deduce segmental orientation in polymeric systems (submitted).
31. 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, 389-412 (1993).
32. Nagai, K.: Photoelastic property of cross-linked amorphous polyethylene. J. Chem. Phys. 40, 2818-2826 (1964).
33. von Lockette, P. R., Arruda, E. M.: Network model predictions for the Raman scattered intensities versus deformation for PDMS. In preparation, 1997.
34. Azzam, R. M. A., Bashara, N. M.: Ellipsometry and polarized light. New Yok: Elsevier 1996.
35. Strobl, G. R.: The physics of polymers: concept for understanding their structures and behavior. New York: Springer 1996.