Influence of thermally induced scission and crosslinking on the post-scission inflation of circular elastomeric membranes

International Journal of Engineering Science

Volumn 46, Issue 8, 2008, Pages 758-774

  Wineman, Alan ^a   Shaw, John ^a  

^a UNIVERSITY OF MICHIGAN   (United States)

Author keywords

Chemomechanics; Crosslinking; Elastomer; Membrane inflation; Scission

Indexed keywords

COMPRESSIVE STRESS; COMPUTER SIMULATION; CROSSLINKING; MACROMOLECULES; MOLECULAR STRUCTURE; THERMAL EFFECTS;

BIAXIAL DEFORMATIONS; CHEMOMECHANICS; CIRCULAR ELASTOMERIC MEMBRANES; MEMBRANE INFLATION; SCISSION;

ELASTOMERS;

EID: 44749092584     PISSN: 00207225     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijengsci.2008.01.020     Document Type: Article

References (25)

1. Wineman A., and Rajagopal K.R. On a constitutive theory for materials undergoing microstructural changes. Archives of Mechanics 42 (1990) 53-74
2. Rajagopal K.R., and Wineman A. A constitutive equation for non-linear solids which undergo deformation induced microstructural changes. International Journal of Plasticity 8 (1992) 385-395
3. Wineman A.S., and Je-Hong Min A.S. Time dependent scission and cross-linking in an elastomeric cylinder undergoing circular shear and heat conduction. International Journal of Non-linear Mechanics 38 (1993) 969-983
4. A. Jones, An Experimental Study of the Thermo-Mechanical Response of Elastomers Undergoing Scission and Crosslinking at High Temperatures, Ph.D. Thesis, University of Michigan, 2003.
5. Shaw J., Jones A., and Wineman A. Chemorheological response of elastomers at elevated temperatures: experiments and simulations. Journal of the Mechanics and Physics of Solids 53 (2005) 2758-2793
6. Jones A., Shaw J., and Wineman A. An experimental facility to measure the chemorheological response of inflated elastomeric membranes at high temperature. Experimental Mechanics 46 (2006) 579-587
7. Wineman A., and Shaw J. Scission and healing in a spinning elastomeric cylinder at elevated temperature. Journal of Applied Mechanics 69 (2002) 602-609
8. Wineman A., and Shaw J. A correspondence principle for scission-induced stress relaxation in elastomeric components. Journal of Applied Mechanics 71 (2004) 769-773
9. Wineman A., and Myers K. A pressurized spherical elastomeric membrane undergoing temperature induced scission and cross-linking. Mathematics and Mechanics of Solids 8 (2003) 299-314
10. Wineman A., and Min J.-H. Inhomogeneity in a sheared elastomeric layer as a result of thermally induced scission and healing. Mathematics and Mechanics of Solids 9 (2004) 17-35
11. Wineman A., and Shaw J. Influence of thermally induced chemorheological changes on the inflation of spherical elastomeric membranes. Journal of Elasticity 80 (2005) 73-95
12. Wineman A., and Shaw J. Influence of thermally induced chemorheological changes on the torsion of elastomeric circular cylinders. Continuum Mechanics and Thermodynamics 17 (2006) 477-492
13. Tobolsky A.V. Properties and Structures of Polymers (1960), Wiley, New York pp. 223-265 (Chapter V)
14. Scanlan J., and Watson W.F. The interpretation of stress-relaxation measurements made on rubber during aging. Transactions of the Faraday Society 54 (1958) 740-750
15. Treloar L.R.G. Strains in an inflated rubber sheet, and the mechanism of bursting. Institution of the Rubber Industry Transactions 19 (1944) 201-212
16. Adkins J.E., and Rivlin R.S. Large elastic deformations of isotropic materials IX. The deformation of thin shells. Philosophical Transactions of the Royal Society of London A244 (1952) 505-531
17. Klingbeil W.W., and Shield R.T. Some numerical investigations on empirical strain energy functions in the large axisymmetric extensions of rubber membranes. Journal of Applied Mathematics and Physics 15 (1964) 608-629
18. Hart-Smith L.J., and Crisp J.D.C. Large elastic deformations of thin rubber membranes. International Journal of Engineering Science 5 (1967) 1-24
19. Wineman A., Wilson D., and Melvin J.W. Material identification of soft tissue using membrane inflation. Journal of Biomechanics 12 (1979) 841-850
20. Przybylo P.A., and Arruda E.M. Experimental investigations and numerical modeling of incompressible elastomers during non-homogeneous deformations. Rubber Chemistry and Technology 71 (1998) 730-749
21. Li Y., Nemes J.A., and Derdouri A.A. Membrane inflation of polymeric materials: experiments and finite element simulations. Polymer Engineering and Science 41 (2001) 1399-1412
22. Rajagopal K.R., and Srinivasa A.R. On the thermomechanics of materials that have multiple natural configurations, Part I: Viscoelasticity and classical plasticity. Zeitschrift fur Angewandte Mathematik und Physik 55 (2004) 861-893
23. Rajagopal K.R., and Srinivasa A.R. On the thermomechanics of materials that have multiple natural configurations, Part II: Twinning and solid to solid phase transformation plasticity. Zeitschrift fur Angewandte Mathematik und Physik 55 (2004) 1074-1093
24. Green A.E., and Adkins J.E. Large Elastic Deformations (1970), Oxford University Press
25. Yang W.H., and Feng W.W. On axisymmetrical deformations of nonlinear membranes. Journal of Applied Mechanics 37 (1970) 1002-1011