Fitting methods for relaxation modulus of viscoelastic materials

Abstract

Based on viscoelastic theory, two new computational methods of solving linear equations and minimum value of the 1-norm were put forward for transforming Kohlrausch-William-Watts (KWW) function of viscoelastic materials to the generalized Maxwell model. The computational methods for the Maxwell model fitting were achieved in MATLAB software. It is found that fitting precision of the two methods is very high. The method of solving linear equations needs more fitting points and more numbers of Maxwell units. It makes the program of finite element analysis complex. While the method of solving minimum value of 1-norm can obtain very high precision only using less fitting points. These methods can fit not only experimental curve of KWW function, but also the experimental data directly.

Keywords

viscoelastic material / relaxation modulus / Maxwell model / fitting

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