A simple proof of a duality theorem with applications in scalar and anisotropic viscoelasticity

Publication date: 17 May 2018

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.

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