Hydrostatic pressure in isotropic polycrystals

A hypothesis not yet examined in the literature is that the intergranular strain in the crystallite reference system is zero and then  

To obtain the strain tensor in the sample reference system. Equation (111) is replaced in Equation (65a) to obtain the stress tensor. Equation (111) is replaced in Equation (64a) and (64a) in (66a). We have  

To calculate the macroscopic strains and stresses. Equations (112) are averaged over the Euler space. The average acts only on the matrix P and, presuming isotropic polycrystals, one obtains  

The structure of Equations (114) is specific for the strain/stress state in a sample under a hydrostatic pressure. 

To calculate the peak shift we replace Equation (111) in Equation (67a), (67a) in (83) and one obtains  

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