Axisymmetric thermo-magneto-electro-elastic field in a heterogeneous circular plate subjected to a uniform thermal load

• Thermo-magneto-electro-elastic field in a circular plate is analytically derived.
• Direct displacement method is adopted in the present study.
• Numerical calculations are performed to fulfill multi-fold purpose.
• Effects of material heterogeneity and multi-field coupling are investigated.

This paper presents thermo-magneto-electro-elastic field in a heterogeneous circular plate subjected to thermal loadings uniformly distributed on the main boundaries. As a prior, the temperature distribution is determined by solving the heat conducting equation. Then, direct displacement method is employed to derive the coupling magneto-electro-elastic field analytically. Finally, numerical calculations are performed to validate the present analysis and to investigate the influence of the material heterogeneity, the multi-field coupling and the cylindrical conditions.