Elastic Interactions for the Films and Nanoparticles of Different Shapes

1 Elastic Interactions for the Films and Nanoparticles of Different Shapes 

Elastic interactions appear in the free energy (3.1) via components of stress tensor cTy. For simplification of cumbersome expression (3.1) we consider subsequently the 

subsequently we shall consider mechanically isotropic solids so that (for mechanically free nanoparficles) surface tension tensor is = p,8ap (8 p is Kronecker delta). The necessary conditions for equilibrium can be obtained by usual procedure of the free energy variation over Oy, polarization P3 and its derivative. This yields 

The Eq. (3.7a) and (3.7b) have been written for the particles of cylindrical and spherical shapes respectively. 

3 Theoretical Description of Primary Nanoferroics. Comparison of the Theory.. 

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