Analytical solution on magneto-electro-elasto-hygrothermal coupling in rotating functionally graded piezoelectric/piezomagnetic cylinders on Winkler elastic foundation

Abstract

This study focuses on the multi-field coupling phenomena in a rotating functionally graded piezoelectric/piezomagnetic (FGPEPM) hollow cylinder under magneto-electro-elasto-hygrothermal loading. The cylinder is assumed to be infinitely long and on a Winkler elastic foundation. The hygrothermo parameter, magneto-electro-elastic properties, hygrothermal expansion, and density within the FGPEPM cylinder follow power laws with different gradient indexes along its thickness. Analytical solutions for the distributions of radial displacement, stresses, electric potential, magnetic potential, temperature, and moisture are derived by solving magneto-electro-elasto-hygrothermal coupling differential equations with appropriate boundary conditions. Validation against the existing analytical results for simplified models confirms the effectiveness of the present analytical solution. Numerical analyses further explore the effects of gradient indexes, rotational velocity, and elastic foundation stiffness on the multi-field coupling behavior of the FGPEPM cylinder. The findings provide valuable insights for designing multi-field coupling characteristics for FGPEPM materials.

Keywords:

• Functionally graded materials
• piezoelectric/piezomagnetic materials
• Winkler elastic foundation
• hygrothermal load
• analytical solution

Data availability

The data that support the findings of this study are available from the corresponding author upon reasonable request.

Disclosure statement

The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

Additional information

Funding

This work is supported by the Ningxia Natural Science Foundation (Grant No. 2022AAC03012), the Ningxia Science and Technology Leading Talent Training Program (Grant No. 2022GKLRLX04), the National Natural Science Foundation of China (Grant No. 12272195 and Grant No. 62071494).