A few derivations related to convolution and inter-conversion for linear visco-elastic materials

This article presents a heuristic derivation of the convolution integral, which is a critical concept in solving mechanistic problems related to linear viscoelastic materials. This article also presents the derivations for inter-conversions from time to frequency dependent responses. In the context of this article, viscoelastic response is considered to be synonymous with time-dependent response. This article is presented only as a reference, if you notice any corrections or have any suggestions, please email them to: [e-mail].