By Damascelli L., Pacela F., Ramaswamy M.
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Additional resources for A strong maximum principle for a class of non-positone singular elliptic problems
The reorientation of solutes gives rise to a strain relaxation or an internal friction peak. The relaxation time or the (frequency or temperature) position of the internal friction peak can be used to deduce information about the mean residence time of a solute. A Snoek eﬀect of interstitial solutes in fcc metals cannot be observed, because the interstitial sites have cubic symmetry. The Gorski eﬀect is due to solutes in a solvent which produce a lattice dilatation. In a macroscopic strain gradient solutes redistribute by diﬀusion.
As outlined above these jumps give rise to diﬀusion in solids. g. hydrogen, carbon, nitrogen, and oxygen) are usually incorporated in interstitial sites of a metal. In this way an interstitial solid solution is formed. Interstitial solutes usually occupy octahedral or tetrahedral sites of the lattice. Octahedral and tetrahedral interstitial sites in the fcc and bcc lattices are illustrated in Fig. 7. Interstitial solutes can diﬀuse by jumping from one interstitial site to the next as shown in Fig.
For interstitial diﬀusers the ‘diﬀusion lattice’ is formed by the interstitial sites of the crystal lattice. Substitutional diﬀusers perform jumps 7 Near the melting temperature of fcc metals the self-diﬀusion coeﬃcient (see Sect. 8) has a value of about 10−12 m2 s−1 . This corresponds to about 10 million jumps of each atom per second. 20 Helmut Mehrer ✛ ❄ ✐ rn ✻ ✻ ✛ ✛ ❄ ✛ ❄ ✛✲ R ✲ ✻ ✛✲ ✻ r2 r1 Fig. 6. Total displacement R of a particle on a lattice composed of many individual jumps ri . between sites of the normal lattice.
A strong maximum principle for a class of non-positone singular elliptic problems by Damascelli L., Pacela F., Ramaswamy M.