Microscale size effects in piezomagnetic material for the anti-plane problem

A continuum model of piezomagnetic material with strain, magnetic and piezomagnetic coupling gradient effects is proposed using a variational principle in this work. This model is employed to an anti-plane problem, and a general solution is constructed in polar coordinates. Special attention is paid...

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Bibliographic Details
Published in:Acta mechanica 2021-11, Vol.232 (11), p.4609-4623
Main Authors: Xu, Mingxiu, Askes, Harm, Shang, Xinchun, Gitman, Inna M.
Format: Article
Language:English
Subjects:
Analysis
Boundary conditions
Classical and Continuum Physics
Continuum modeling
Control
Coupling
Dynamical Systems
Energy
Engineering
Engineering Fluid Dynamics
Engineering Thermodynamics
Heat and Mass Transfer
Magnetic fields
Mechanical analysis
Original Paper
Piezomagnetism
Polar coordinates
Size effects
Solid Mechanics
Strain
Theoretical and Applied Mechanics
Vibration
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Description
Summary:A continuum model of piezomagnetic material with strain, magnetic and piezomagnetic coupling gradient effects is proposed using a variational principle in this work. This model is employed to an anti-plane problem, and a general solution is constructed in polar coordinates. Special attention is paid to microstructural effects on the magnetic and mechanical response in an infinite piezomagnetic medium with a void. It is found that the microstructural length scales have a significant influence on the mechanic and magnetic fields. The three length scales (corresponding to strain, magnetic and piezomagnetic coupling gradients) are indispensable to describe the nonlocal effects of piezomagnetism. Additionally, controlling the direction and magnitude of the magnetic field at the edge of the void can be achieved by adjusting the microstructural length scales of the piezomagnetic medium.
ISSN:0001-5970
1619-6937
DOI:10.1007/s00707-021-03071-9