The determination of creep and relaxation functions from a single experiment

Journal of Rheology

Volumn 49, Issue 6, 2005, Pages 1193-1211

  Nikonov, A ^a   Davies, A R ^b   Emri, I ^a  

^a UNIVERSITY OF LJUBLJANA   (Slovenia)

^b ABERYSTWYTH UNIVERSITY   (United Kingdom)

Author keywords

Creep; Inverse problem; Linear viscoelasticity; Rheometry

Indexed keywords

CREEP COMPLIANCE; LINEAR VISCOELASTICITY; MECHANICAL RESPONSE; RELAXATION FUNCTIONS;

ALGORITHMS; FUNCTION EVALUATION; PROBLEM SOLVING; RELAXATION PROCESSES; STRESS RELAXATION; VISCOELASTICITY;

CREEP;

EID: 33749586170     PISSN: 01486055     EISSN: None     Source Type: Journal    
DOI: 10.1122/1.2072027     Document Type: Article

References (13)

1. Baker, C. T. H., " A perspective on the numerical treatment of Volterra equations., " J. Comput. Appl. Math. 125, 217-149 (2000).
2. Ferry, J. D., Viscoelastic Properties of Polymers, 3rd ed. (Wiley, New York, 1980).
3. Gautschi, W., " Norm estimates for inverses of Vandermonde matrices., " Numer. Math. 23, 337-347 (1975a).
4. Gautschi, W., " Optimally conditioned Vandermonde matrices., " Numer. Math. 24, 1-12 (1975b).
5. Gross, B., Mathematical Structure of the Theories of Viscoelasticity (Hermann, Paris, 1953).
6. Hopkins, I. L., and R. W. Hamming, " On creep and relaxation., " J. Appl. Phys. 28, 906-909 (1957).
7. Knoff, W. F., and I. L. Hopkins, " An improved numerical interconversion for creep compliance and relaxation modulus., " J. Appl. Polym. Sci. 16, 2963-2972 (1972).
8. Lee, E. H., and T. G. Rogers, " Solution of viscoelastic stress analysis problems using measured creep or relaxation functions., " J. Appl. Mech. 30, 127-133 (1963).
9. Li, R.-C., " Asymptotically optimal lower bounds for the condition number of a real Vandermonde matrix., " Technical report rc-05, Department of Mathematics, University of Kentucky, Lexington, 2005.
10. Mead, D. W., " Numerical interconversion of linear viscoelastic functions., " J. Chromatogr., A 38, 1769-1795 (1994).
11. Park, S. W., and R. A. Schapery, " Methods of interconversion between linear viscoelastic material functions. Part I-A numerical method based on Prony series., " Int. J. Solids Struct. 36, 1653-1675 (1999).
12. Tschoegl, N. W., The Phenomenological Theory of Linear Viscoelastic Behavior (Springer, Berlin, 1989).
13. Tschoegl, N. W., and I. Emri, " Generating line spectra from experimental responses. Part 3. Interconversion between relaxation and retardation behavior., " Int. J. Polym. Mater. 18, 117-127 (1992).