deflection analysis of a simply supported microbeam subjected to a concentrated load at the middle is investigated on the basis of a shear deformable beam theory and non-classical theory. effects of shear deformation and small size are taken into consideration by hyperbolic shear deformable beam theory and modified strain gradient theory, respectively. the governing differential equations and c...

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In an attempt to reconcile recent spectral data with predictions of the standard cooling flow model, it has been suggested that the metals in the intracluster medium (ICM) might be distributed inhomogeneously on small scales. We investigate the possible consequences of such a situation within the framework of the cooling flow scenario. Using the standard isobaric cooling flow model, we study th...

This memo presents a simple analysis of small-scale self focusing or filamentation effects in strongly diverging or converging optical beams (“tapered beams”) propagating in nonlinear or saturable optical media. In contrast to the collimated beam case where the nonlinear perturbations can be modelled as uniformly spaced periodic ripples, the nonlinear phase and amplitude ripples in the tapered-...