A global nonlinear stability analysis is performed for a couple-stress fluid layer heated from below saturating a porous medium with temperature-pressure dependent viscosity for different conducting boundary systems. Here, the global nonlinear stability threshold for convection is exactly the same as the linear instability boundary. This optimal result is important because it shows that lineari...

In this work, a new displacement-based Trefftz plate element is developed for size-dependent bending analysis of the thin structures in context modified couple stress theory. This achieved via two steps. First, functions, that are derived by introducing assumptions into three-dimensional governing equations elasticity, adopted as basis functions designing element's displacement interpolations. ...

The nonlinear static bending analysis of microplates resting on imperfect Pasternak elastic foundations is carried out in this paper. finite element method based the modified couple stress theory used to derive formulations. present and mathematical model are validated by comparisons work’s results with those other reputable publications, which show a very good agreement. influences length-scal...