Variable-order approach to nonlocal elasticity: theoretical formulation, order identification via deep learning, and applications-Reference-Cited by-同舟云学术

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Variable-order approach to nonlocal elasticity: theoretical formulation, order identification via deep learning, and applications

Published:2021-09-27 Issue:1 Volume:69 Page:267-298
ISSN:0178-7675
Container-title:Computational Mechanics
language:en
Short-container-title:Comput Mech

Author:

Patnaik Sansit^ORCID,Jokar Mehdi^ORCID,Semperlotti Fabio^ORCID

Funder

National Science Foundation

Defense Advanced Research Project Agency

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics,Computational Theory and Mathematics,Mechanical Engineering,Ocean Engineering,Computational Mechanics

Link

https://link.springer.com/content/pdf/10.1007/s00466-021-02093-3.pdf

Reference72 articles.

1. Hollkamp JP, Sen M, Semperlotti F (2018) Model-order reduction of lumped parameter systems via fractional calculus. J Sound Vib 419:526–543

2. Hollkamp JP, Semperlotti F (2020) Application of fractional order operators to the simulation of ducts with acoustic black hole terminations. J Sound Vib 465:115035

3. Bagley RL, Torvik PJ (1983) A theoretical basis for the application of fractional calculus to viscoelasticity. J Rheol 27:201–210

4. Chatterjee A (2005) Statistical origins of fractional derivatives in viscoelasticity. J Sound Vib 284:1239–1245

5. Benson DA, Schumer R, Meerschaert MM, Wheatcraft SW (2001) Fractional dispersion, Lévy motion, and the made tracer tests. Transp Porous Media 42:211–240

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