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...

A quasi-three-dimensional finite element method of analysis is proposed for the dynamic response analysis of pile foundations that is computationally feasible for practical applications. The method uses a simplified three-dimensional wave equation for describing the dynamic response of the soil. The response of the pile foundation is computed directly without having to use pile–soil–pile intera...

The modeling of the elastic properties of granular or nanoscale systems requires the foundations of the theory of elasticity to be revisited, as one explores scales at which this theory may no longer hold. The only cases for which a microscopic justification of elasticity exists are (nearly) uniformly strained lattices. A microscopic theory of elasticity, as well as simulations, reveal that sta...

In this chapter a meshless method, based on the method of fundamental solutions (MFS) and radial basis functions (RBF), is developed to solve thin plate bending on an elastic foundation. In the presented algorithm, the analog equation method (AEM) is firstly used to convert the original governing equation to an equivalent thin plate bending equation without elastic foundations, which can be sol...

The modeling of the elastic properties of disordered or nanoscale solids requires the foundations of the theory of elasticity to be revisited, as one explores scales at which this theory may no longer hold. The only cases for which microscopically based derivations of elasticity are documented are (nearly) uniformly strained lattices. A microscopic approach to elasticity is proposed. As a first...

This article presents the buckling behavior of carbon nanotubes reinforced sandwich-structured composite shells supported by elastic foundations. The configuration is composed three layers, an isotropic core, and two nanocomposite face sheets. Carbon fibers are applied to reinforce sheets sandwich shells. It assumed that distribution reinforcements across shell thickness uniform or functionally...