Analytical solution of the electro-magneto-elasto-hydrothermal coupling problem of rotating functionally graded piezoelectric/piezomagnetic hollow spheres under a hydrothermal environment

作者：Xiaoyuan Shan, Jun Xie, Fei Dong, Wenshuai Wang · 发表于：Mechanics Based Design of Structures and Machines · 年份：2025 · DOI：10.1080/15397734.2025.2458095 · 被引用次数：4 · 研究领域：Composite Structure Analysis and Optimization、Thermoelastic and Magnetoelastic Phenomena、Elasticity and Wave Propagation

Functionally graded piezoelectric/piezomagnetic (FGPEPM) materials in a hygrothermal environment exhibit complex multi-physical field coupling effects when subjected to various loads such as mechanical, electric, magnetic, temperature, and moisture concentration. In this paper, a theoretical analysis of the electro-magneto-elasto-hygrothermal (EMEHT) coupling effects for a rotating FGPEPM hollow sphere is presented. By assuming that the properties of hygrothermo, electro-magneto-elastic, hygrothermal expansion, and density of the FGPEPM sphere obey different power laws along the thickness direction, the distributions of temperature, moisture, magnetic potential, radial displacement, electric potential, and stresses within the rotating FGPEPM sphere are determined. The present theoretical solutions are verified with existing analytical solutions for some related simplified problems. The FGPEPM hollow sphere exhibits complex multi-physical field coupling effects, containing positive/inverse piezoelectric, positive/inverse piezomagnetic, positive/inverse magnetoelectric, thermal/moist stress, pyroelectric/pyromagnetic, and hydroelectric/hydromagnetic effects under a hygrothermal environment. The influence of gradient parameters and other material properties on these EMEHT coupling effects is also investigated for FGPEPM hollow spheres under various types of loads. This theoretical research provides some reference for the optimal design for this type of functionally gradient mult...