Unification of Eringen's nonlocal parameter through an optimization-based approach

Tuna Eroğlu M., Kırca M.

MECHANICS OF ADVANCED MATERIALS AND STRUCTURES, 2019 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Publication Date: 2019
  • Doi Number: 10.1080/15376494.2019.1601312
  • Journal Name: MECHANICS OF ADVANCED MATERIALS AND STRUCTURES
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Keywords: Nano-structures, nonlocal parameter, Eringen's nonlocal elasticity, molecular dynamics, finite element, optimization, WALLED CARBON NANOTUBES, MOLECULAR-DYNAMICS SIMULATION, VIBRATIONAL BEHAVIOR, BOUNDARY-CONDITIONS, EULER-BERNOULLI, SCALE PARAMETER, INTEGRAL MODEL, SHELL-MODEL, SINGLE, PREDICTION
  • Istanbul Technical University Affiliated: Yes

Abstract

An evolutionary optimization approach is presented to provide unified material properties through focusing on sample problems of one-dimensional (1D) atomic chains and armchair SWCNTs. Optimum values are calculated by matching the buckling loads and natural frequencies obtained from the atomistic simulations and Eringen's nonlocal theory based finite element models for bars and beams. Sufficiently accurate results regardless of dimensions, mechanical problems, and boundary conditions of aforementioned types of structures are provided, and the feasibility of the integral form of nonlocal theory along with the inadequate character of local theory in the existence of long range interactions are clearly presented.