Research Papers

Multiphysics of Multilayered and Functionally Graded Cylinders Under Prescribed Hygrothermomagnetoelectromechanical Loading

[+] Author and Article Information
A. H. Akbarzadeh

Post-Doctoral Fellow
e-mail: hamid.akbarzadeh@mcgill.ca

D. Pasini

Associate Professor
e-mail: damiano.pasini@mcgill.ca
Department of Mechanical Engineering,
McGill University,
Montreal, QC H3A 0C3, Canada

1Corresponding author.

Manuscript received July 17, 2013; final manuscript received September 16, 2013; accepted manuscript posted September 25, 2013; published online November 13, 2013. Assoc. Editor: Glaucio H. Paulino.

J. Appl. Mech 81(4), 041018 (Nov 13, 2013) (15 pages) Paper No: JAM-13-1293; doi: 10.1115/1.4025529 History: Received July 17, 2013; Revised September 16, 2013; Accepted September 25, 2013

This paper examines the multiphysics of multilayered and functionally graded cylinders subjected to steady-state hygrothermomagnetoelectromechanical loading. The cylinder is assumed to be axisymmetric, infinitely long, and with either hollow or solid cross section that is, both polarized and magnetized radially. The multiphysics model is used to investigate the effect of moisture, temperature, magnetic, electric, and mechanical loadings. The influence of imperfectly bonded interfaces is also accounted for in the governing equations. Exact solutions of differential equations are obtained for each homogenous layer of the multilayered cylinder. The results are verified with those available in literature for a homogenous infinitely long cylinder and can also be applied to study the multiphysics of thin circular disks. Maps are presented for solid and hollow cylinders to visualize the effect of hygrothermomagnetoelectromechanical loading, heterogeneity of bonded layers, and imperfectly bonded interfaces. The plots offer insight into the behavior of heterogeneous magnetoelectroelastic media in a steady state hygrothermal field.

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Fig. 1

Rotating hollow multilayered MEE cylinder resting on elastic foundation and its multiphysics boundary conditions; subscripts “i” and “o” indicate inner and outer surfaces

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Fig. 2

Effect of imperfection compliance constants in a three-layer hollow cylinder

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Fig. 3

Effect of each physical loading on the radial stress distribution

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Fig. 4

Effect of imperfection compliance constants in a two-layer solid cylinder

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Fig. 5

Effect of electromagnetic boundary condition in a three-layer hollow circular disk

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Fig. 6

Effect of thickness tAW of adaptive wood in a three-layer composite cylinder

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Fig. 7

Effect of nonhomogeneity index of FG hollow cylinder and circular disk



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