Weighted Residual Approach for Bending Analysis of Nanobeam Using by Modified Couple Stress Theory

Abstract

With the development of nanotechnology, interest in nanomaterials has increased significantly in recent years. This study examines the bending analysis of a nanobeam with modified couple stress theory and weighted residual methods. The formulas derived for calculating bending analysis results in the article has been found by using Weighted Residual Method. The results have compared to show effects on nanobeam and the calculated values are shown in the graphs and tables. The results which is obtained in the article are compared with the results already found in the literature and it was observed that they are consistent.

A modified couple stress model to analyze the effect of size-dependent on thermal interactions in rotating nanobeams whose properties change with temperature

“…where u i are the displacement components. Due to the considerable work required in addressing elasticity issues using the integral constitutive relation outlined in equation (1), it is common practice to employ an analogous differential variant of this relation for modeling purposes in a wide range of scenarios. The expression of the differential form of nonlocal constitutive relations for an elastic body can be written as:…”

“…Nanotechnology is a rapidly advancing field characterized by its potential for numerous applications. In the present era, it is evident that the phenomenon under consideration will experience a significant expansion in the forthcoming period [1]. Nanotechnology is often regarded as a pivotal element in technological advancements, given the ongoing progress in technology and the increasing fulfillment of human requirements through the utilization of diminutive materials and instruments.…”