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Chin. Phys. B, 2013, Vol. 22(12): 128102    DOI: 10.1088/1674-1056/22/12/128102

Size-dependent thermal stresses in the core–shell nanoparticles

Astefanoaei I, Dumitru I, Stancu Al
Faculty of Physics, "Alexandru Ioan Cuza" University of Iasi, 700506, Iasi, Romania
Abstract  The thermal stress in a magnetic core–shell nanoparticle during a thermal process is an important parameter to be known and controlled in the magnetization process of the core–shell system. In this paper we analyze the stress that appears in a core–shell nanoparticle subjected to a cooling process. The external surface temperature of the system, considered in equilibrium at room temperature, is instantly reduced to a target temperature. The thermal evolution of the system in time and the induced stress are studied using an analytical model based on a time-dependent heat conduction equation and a differential displacement equation in the formalism of elastic displacements. The source of internal stress is the difference in contraction between core and shell materials due to the temperature change. The thermal stress decreases in time and is minimized when the system reaches the thermal equilibrium. The radial and azimuthal stress components depend on system geometry, material properties, and initial and final temperatures. The magnitude of the stress changes the magnetic state of the core–shell system. For some materials, the values of the thermal stresses are larger than their specific elastic limits and the materials begin to deform plastically in the cooling process. The presence of the induced anisotropy due to the plastic deformation modifies the magnetic domain structure and the magnetic behavior of the system.
Keywords:  thermal stresses      thermal equilibrium      core–shell particle  
Received:  15 January 2013      Revised:  05 April 2013      Accepted manuscript online: 
PACS:  81.40.Lm (Deformation, plasticity, and creep)  
  81.70.Pg (Thermal analysis, differential thermal analysis (DTA), differential thermogravimetric analysis)  
  65.80.-g (Thermal properties of small particles, nanocrystals, nanotubes, and other related systems)  
  46.25.Hf (Thermoelasticity and electromagnetic elasticity (electroelasticity, magnetoelasticity))  
Fund: Project supported by Romanian CNCS–UEFISCDI project IDEI-EXOTIC (Grant No. 185/25.10.2011).
Corresponding Authors:  Astefanoaei I     E-mail:

Cite this article: 

Astefanoaei I, Dumitru I, Stancu Al Size-dependent thermal stresses in the core–shell nanoparticles 2013 Chin. Phys. B 22 128102

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