“…20,21 The values of m = 1.6-2.1 have also been obtained in MgB 2 superconductor by another group. 14 The flux-line shear mechanism has been studied in detail and several authors proposed the expressions for F p based on the flux-lattice shearing. Kramer derived an expression for the pinning force, F p ϰ b 1/2 ͑1−b͒ 2 , assuming that the flux motion occurs by synchronous shear of the flux lattice around the line pins that are too strong to allow local depinning of the magnetic flux: Although the predicted function F p ϰ b 1/2 ͑1−b͒ 2 is observed in many superconductors, this formula has two main drawbacks, since it predicts a weak dependence on the grain size, which is in disagreement with experimental observations, 5,18,19 and it uses an expression for c 66 , which is only valid at high fields, 1 − b Ӷ 1.…”