Dr. Mohamed M. El Shabrawy

The nonlinear interaction between an elastic Euler beam and a tensionless soil foundation is studied. Exact analytical solutions of the challenging problem are rather complicated. The basic obstacle is imposing compatibility conditions at lift-off points. These points are determined as a part of the solution although being needed to get the solution itself. In the current work, solutions are

Background: The buckling load as well as the natural frequency under axial load for non-prismatic beam is a changeling problem. Determination of buckling load, natural frequency, and elastic deflection is very important in civil applications. The current paper used both perturbation method (PM), analytic method, and differential quadrature method (DQM), numerical method, to find buckling load and

The unsteady flow field variations between healthy and diseased three-dimensional rigid posterior cerebral artery are numerically investigated. The Computational hemodynamic simulations have been known to provide valuable clinical information to researchers and surgeons that proved to be crucial for the assessment of medical risks, pre-surgical conditioning and treatment planning. The wall shear