tailieunhanh - Implementation of discrete least squares meshless method for nonlocal elastic graphene nanoplates

In this paper, armchair rectangular monolayer graphene nanoplates were analyzed based on the assumption of orthotropic properties with different boundary conditions. | Implementation of discrete least squares meshless method for nonlocal elastic graphene nanoplates Engineering Solid Mechanics 6 2018 209-226 Contents lists available at GrowingScience Engineering Solid Mechanics homepage esm Implementation of discrete least squares meshless method for nonlocal elastic graphene nanoplates . Rahia . Firoozjaeea and M. Dehestania a Faculty of Civil Engineering Babol Noshirvani University of Technology Babol Iran A R T I C L EI N F O ABSTRACT Article history In this paper armchair rectangular monolayer graphene nanoplates were analyzed based on the Received 10 January 2018 assumption of orthotropic properties with different boundary conditions. For this purpose the Accepted 4 June 2018 nonlocal elasticity and Kirchhoff theories were applied to analyze the small-scale effects on Available online the armchair monolayer graphene nanoplates and obtain the static equation of the graphene 4 June 2018 Keywords nanoplates respectively. As there were no readily accurate answers to the analyses of all the Graphene problems associated with nanoplates of different boundary and geometrical conditions Rectangular nanoplate numerical methods were employed for obtaining approximate responses. One of the capable Nonlocal elasticity theory approaches to the analyses of the differential equations governing these types of plates is the DLSM meshless method. In this research the Discrete Least Squares Meshless DLSM method was employed for the static analysis of rectangular nanoplates with different boundary conditions besides assessing the effect of nonlocal coefficient amount on the nanoplate deflection. According to the results of this investigation it could be concluded that the method utilized here was suitable for solving the problems of nano-dimensions compared to the analytical and Galerkin meshless methods. 2018 Growing Science Ltd. All rights reserved. 1. Introduction One of the sciences of the new era is .