Determination Of Free Parameters Research Articles

Yield Criterion for Concrete Formed From the Deviatoric and Meridional Shape Functions

Design of yield criterion for concrete using the deviatoric and meridional section shape functions is presented. For the deviatoric section, Podgórski type shape functions are applied and discussed, while for the meridians Cassini’s oval is considered. Derivation of the shape functions with determination of free parameters using typical experimental test is shown. Comparison with empirical data for concrete is given. The proposed approach is a quite general tool in development of failure criteria for frictional and brittle materials.

Semi-adaptive, convex optimisation methodology for image denoising

An optimisation methodology based on a semi-adaptive, convex (SAC) formulation for the image denoising problem is proposed for recovering both sharp edges and smooth subsurfaces from a given noisy image. Basic steps to realise an image denoising algorithm with proper restoration properties and practical computational efficiency with automatic determination of free parameters are described. A set of example images is used to illustrate the proposed approach.

A Model for the Scattering Amplitudes and Its Application to π π and πNScattering

A new model for scattering amplitudes is proposed. This model satisfies the finite energy sum rule, unitarity at threshold, and other desirable physical properties of scattering ampli­ tudes. In this model daughters are also contained and the duality in our sense is related to Regge pole and cut (scattering state) duality, which is different from the conventional duality relating only to Regge poles. The rcrc amplitudes are constructed in our model under the condition of exchange degen­ eracy of aP and af. Our model gives good results on scattering lengths. Adler's self-con­ sistency condition gives aP (p.2) >l, which is consistent with the experimental results of ap (0) =0.57±0.01 and is different from Lovelace's results. The high energy amplitudes obey the Gell-Mann mechanism. The rcN amplitudes are constructed in our model under the condition of non-exchange degeneracies among aw a~ and a 7 trajectories. Our rcN amplitudes satisfy isospin constraints both in low and in high energy regions, and L1a=2. Adler's self-consistency relation is ap­ proximately satisfied. The determination of free parameters from low energy resonances predicts high energy amplitudes which are consistent with experimental analysis.