Abstract
A finite element method (FEM) has been proposed based on the initial strain approach to evaluate elastic strain energies during solid state transformations. A significant contribution of this work is that how much the image force due to the free surface relaxes the strain energy and this has not been solved for the concentric shell system considered here. Moreover, the finite element method can be used to study precipitation from free surfaces. The method has been utilized to evaluate strain energies for the case of NbH precipitation from the center of the spherical Nb system outwards, and from the surface of the system inwards. Although, the variation in elastic strain energies as a function of transformation was similar in both cases as expected (i.e. parabolic), the finite element analysis revealed that a major portion of the strain energy is stored in the matrix for the center-to-surface path and in the precipitate for the surface-to-center path.
Published Version
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