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Article
Diophantinized Fractional Representations for Nonlinear Elastomeric Media
Computers & Structures
  • Joe Padovan, University of Akron
  • Jerzy T. Sawicki, Cleveland State University
Document Type
Article
Publication Date
3-1-1998
Abstract
This paper explores the use of diophantinized fractional fits for the nonlinear constitutive representation of elastomeric media. These are caste in terms of either the principal stretches or the strain invariants. Both polynomial and rational forms are considered. To construct the requisite complete and physically admissible basis space, the diophantinized set of fractional powers is bound by the curvature properties of the experimental data set. This set is then employed in conjunction with a remezed least square scheme to obtain an optimal fit. To verify the scheme a sample application case is presented.
DOI
10.1016/S0045-7949(97)00067-9
Version
Postprint
Citation Information
Padovan, J., and Sawicki, J.T. (1998) Diophantinized Fractional Representations for Nonlinear Elastomeric Media. Computers & Structures, 66(2), 613-626, doi: 10.1016/S0045-7949(97)00067-9.