Cones of material response functions in one-dimensional and anisotropic linear viscoelasticity

DOI10.1098/rspa.2009.0305zbMath1195.74024arXiv0906.1893OpenAlexW3123040695MaRDI QIDQ4931058

Andrzej Hanyga, Małgorzata Seredyńska

Publication date: 2 October 2010

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0906.1893

zbMATH Keywords

relaxationviscoelasticitycompletely monotone functionHerglotz functionBernstein functionStieltjes function

Mathematics Subject Classification ID

Anisotropy in solid mechanics (74E10) Linear constitutive equations for materials with memory (74D05)

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Positivity of Green's functions for a class of partial integro-differential equations including viscoelasticity ⋮ Relaxation, dispersion, attenuation, and finite propagation speed in viscoelastic media

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