Evaluation of Stress Distribution of Isotropic, Composite, and FG Beams with Different Geometries in Nonlinear Regime via Carrera-Unified Formulation and Lagrange Polynomial Expansions

Carrera E., DEMİRBAŞ M. D., Augello R.

APPLIED SCIENCES-BASEL, vol.11, no.22, 2021 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 11 Issue: 22
  • Publication Date: 2021
  • Doi Number: 10.3390/app112210627
  • Journal Name: APPLIED SCIENCES-BASEL
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Agricultural & Environmental Science Database, Applied Science & Technology Source, Communication Abstracts, INSPEC, Metadex, Directory of Open Access Journals, Civil Engineering Abstracts
  • Keywords: Carrera-Unified formulation, geometrical nonlinear regime, composite structures, functionally graded structures, FREE-VIBRATION ANALYSIS, LARGE-DEFLECTION, COROTATIONAL FORMULATION, POSTBUCKLING ANALYSES, THIN, SHELLS, ELEMENT, MATRIX, FRAMES
  • Erciyes University Affiliated: Yes

Abstract

In this study, the geometrically nonlinear behaviour caused by large displacements and rotations in the cross sections of thin-walled composite beams subjected to axial loading is investigated. Newton-Raphson scheme and an arc length method are used in the solution of nonlinear equations by finite element method to determine the mechanical effect. The Carrera-Unified formulation (CUF) is used to solve nonlinear, low or high order kinematic refined structure theories for finite beam elements. In the study, displacement area and stress distributions of composite structures with different angles and functionally graded (FG) structures are presented for Lagrange polynomial expansions. The results show the accuracy and computational efficiency of the method used and give confidence for new research.