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- W3103327524 endingPage "2874" @default.
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- W3103327524 abstract "In this work the fundamentals of gradient field theories are presented and reviewed. In particular, the theories of gradient magnetostatics and gradient elasticity are investigated and compared. For gradient magnetostatics, non-singular expressions for the magnetic vector gauge potential, the Biot-Savart law, the Lorentz force and the mutual interaction energy of two electric current loops are derived and discussed. For gradient elasticity, non-singular forms of all dislocation key-formulas (Burgers equation, Mura equation, Peach-Koehler stress equation, Peach-Koehler force equation, and mutual interaction energy of two dislocation loops) are presented. In addition, similarities between an electric current loop and a dislocation loop are pointed out. The obtained fields for both gradient theories are non-singular due to a straightforward and self-consistent regularization." @default.
- W3103327524 created "2020-11-23" @default.
- W3103327524 creator A5000474895 @default.
- W3103327524 date "2014-07-11" @default.
- W3103327524 modified "2023-10-16" @default.
- W3103327524 title "On gradient field theories: gradient magnetostatics and gradient elasticity" @default.
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- W3103327524 doi "https://doi.org/10.1080/14786435.2014.935512" @default.
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