Session: 13-03-01: Computational Studies on MEMS and Nanostructures

Paper Number: 138238

138238 - A Mixed-Finite Element Method Based Formulation for the Static Bending Analysis of Eringen’s Strain-Driven Timoshenko Nanobeams. 

This study uses the Mixed Finite Element Method (MFEM) to analyze the static bending of nanobeams modeled according to Timoshenko beam kinematics. Formulations are suggested based on Eringen's strain-driven, differential nonlocal constitutive model. Variously configured nanobeams are examined under point/concentrated and Uniformly Distributed Loads (UDL). The computed results of the derived quantities (bending moments, shear forces) and fundamental quantities (deflections, section-rotations) are compared with those of the conventional Finite Element Method (FEM). In comparison to FEM, the superior performance of MFEM, as demonstrated by its consistent ability to capture size effects regardless of the applied load type and nanobeam boundary conditions, is exhibited.

Presenting Author: Gaurab Khanra Indian Institute of Space Science and Technology

Presenting Author Biography: Gaurab Kumar Khanra is currently pursuing his Ph.D. and is affiliated with the department of Aerospace Engineering at IIST. He has been involved in active research in nonlocal elasticity for the past six years. He is interested in developing analytical, semi-analytical, and numerical solutions to address unresolved issues while modelling low-dimensional structure’s static and dynamic behavior.

Authors:

Gaurab Khanra Indian Institute of Space Science and Technology
I R Praveen Krishna Indian Institute of Space Science and Technology
Raveendranath P Indian Institute of Space Science and Technology