Cones of material response functions in 1D and anisotropic linear viscoelasticity
Materials Science
2015-05-13 v2 Other Condensed Matter
Abstract
Viscoelastic materials have non-negative relaxation spectra. This property implies that viscoelastic response functions satisfy certain necessary and sufficient conditions. It is shown that 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 correspondences between the viscoelastic response functions are expressed in terms of cone-preserving mappings and their inverses. The theory covers scalar and tensor-valued viscoelastic response functions
Keywords
Cite
@article{arxiv.0906.1893,
title = {Cones of material response functions in 1D and anisotropic linear viscoelasticity},
author = {M. Seredyńska and A. Hanyga},
journal= {arXiv preprint arXiv:0906.1893},
year = {2015}
}
Comments
submitted to Proc. Roy. Soc. A