A simple proof of a duality theorem with applications in scalar and anisotropic viscoelasticity
Mathematical Physics
2018-05-21 v1 math.MP
Abstract
A new concise proof is given of a duality theorem connecting completely monotone relaxation functions with Bernstein class creep functions in one-dimensional and anisotropic 3D viscoelasticity. The proof makes use of the theory of complete Bernstein functions and Stieltjes functions and is based on a relation between these two function classes.
Keywords
Cite
@article{arxiv.1805.07275,
title = {A simple proof of a duality theorem with applications in scalar and anisotropic viscoelasticity},
author = {Andrzej Hanyga},
journal= {arXiv preprint arXiv:1805.07275},
year = {2018}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1804.03690