<p>The focus of this work is to study the creep evolution in a functionally graded magneto-electro-elastic (FGMEE) layered hollow sphere with weak interlayer bonding employing an analytical solution. It is under internal pressure, thermal and humid environments, and electric and magnetic fields. Also, it can be rested on an elastic foundation. The material constants in each layer follow a power-low function of the radius. A differential equation was derived from the equilibrium equation involving creep strains. At initial state, the creep strains were ignored and the distributions of deformation, stresses, and electromagnetic potentials were evaluated. Then, creep stress rates were obtained using Norton’s law and the Prandtl-Reuss equation with constant hygrothermal boundary condition assumption. At last, the history of creep stresses, displacement, and electromagnetic potentials were obtained using an iterative procedure. Finally, the effect of key parameters such as hygrothermal loads, grading index, imperfect bonding, and number of layers were explored. The results show the hoop stress increases during the creep evolution, so the static analysis has no credit during the creep progress.</p>

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Hygrothermal Creep Analysis in a Layered FGMEE Hollow Sphere with Weak Interlayer Bonding

  • Mahdi Saadatfar,
  • Neda Sheikh,
  • Ali Gharakhani

摘要

The focus of this work is to study the creep evolution in a functionally graded magneto-electro-elastic (FGMEE) layered hollow sphere with weak interlayer bonding employing an analytical solution. It is under internal pressure, thermal and humid environments, and electric and magnetic fields. Also, it can be rested on an elastic foundation. The material constants in each layer follow a power-low function of the radius. A differential equation was derived from the equilibrium equation involving creep strains. At initial state, the creep strains were ignored and the distributions of deformation, stresses, and electromagnetic potentials were evaluated. Then, creep stress rates were obtained using Norton’s law and the Prandtl-Reuss equation with constant hygrothermal boundary condition assumption. At last, the history of creep stresses, displacement, and electromagnetic potentials were obtained using an iterative procedure. Finally, the effect of key parameters such as hygrothermal loads, grading index, imperfect bonding, and number of layers were explored. The results show the hoop stress increases during the creep evolution, so the static analysis has no credit during the creep progress.