Exact solution of transient thermal stress problem of a multilayered magneto-electro-thermoelastic hollow sphere. (English) Zbl 1243.74024
Summary: We present a theoretical analysis of a multilayered magneto-electro-thermoelastic hollow sphere under unsteady and uniform surface heating. We obtain the exact solution of the transient thermal stress problem of the multilayered magneto-electro-thermoelastic hollow sphere in the spherically symmetric state. As an illustration, we perform numerical calculations of a two-layered composite hollow sphere made of piezoelectric and magnetostrictive materials and investigate the numerical results for temperature change, displacement, stress, and electric and magnetic potential distributions in the transient state are shown in figures.
MSC:
| 74F05 | Thermal effects in solid mechanics |
| 74F15 | Electromagnetic effects in solid mechanics |
| 74H05 | Explicit solutions of dynamical problems in solid mechanics |
| 74M05 | Control, switches and devices (“smart materials”) in solid mechanics |
| 74A40 | Random materials and composite materials |
Keywords:
thermal stress problem; magneto-electro-thermoelastic; hollow sphere; spherically symmetric problem; transient stateReferences:
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