A fundamental relationship between the relaxation spectra and the tangent distribution function in the theory of linear viscoelasticity

1996 ◽  
Vol 35 (4) ◽  
pp. 308-314 ◽  
Author(s):  
Claudia L. Matteo
Author(s):  
M. Seredyńska ◽  
A. Hanyga

Viscoelastic materials have non-negative relaxation spectra. This property implies that viscoelastic response functions satisfy certain necessary and sufficient conditions. These conditions can be expressed in terms of each viscoelastic response function ranging over a cone. The elements of each cone are completely characterized by an integral representation. The 1:1 correspondence between the viscoelastic response functions is expressed in terms of cone-preserving mappings and their inverses. The theory covers scalar- and tensor-valued viscoelastic response functions.


1977 ◽  
Vol 38 (6) ◽  
pp. 691-696 ◽  
Author(s):  
F. Hartmann-Boutron ◽  
D. Spanjaard

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