A generalized fractional-order elastodynamic theory for non-local attenuating media.

ABSTRACT: This study presents a generalized elastodynamic theory, based on fractional-order operators, capable of modelling the propagation of elastic waves in non-local attenuating solids and across complex non-local interfaces. Classical elastodynamics cannot capture hybrid field transport processes that are characterized by simultaneous propagation and diffusion. The proposed continuum mechanics formulation, which combines fractional operators in both time and space, offers unparalleled capabilities to predict the most diverse combinations of multiscale, non-local, dissipative and attenuating elastic energy transport mechanisms. Despite the many features of this theory and the broad range of applications, this work focuses on the behaviour and modelling capabilities of the space-fractional term a

SUBMITTER: Patnaik S 

PROVIDER: S-EPMC7428027 | biostudies-literature | 2020 Jun

REPOSITORIES: biostudies-literature