A new approach for elasto-plastic finite strain analysis of cantilever beams subjected to uniform bending moment

G. Ö.K.H.A.N.T. Tayyar*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

Abstract

The reliability and limits of solutions for static structural analysis depend on the accuracy of the curvature and deflection calculations. Even if the material model is close to the actual material behavior, physically unrealistic deflections or divergence problems are unavoidable in the analysis if an appropriate fundamental kinematic theory is not chosen. Moreover, accurate deflection calculation plays an important role in ultimate strength analysis where in-plane stresses are considered. Therefore, a more powerful method is needed to achieve reliable deflection calculation and modeling. For this purpose, a new advanced step was developed by coupling the elasto-plastic material behavior with precise general planar kinematic analysis. The deflection is generated precisely without making geometric assumptions or using differential equations of the deflection curve. An analytical finite strain solution was derived for an elasto-plastic prismatic/non-prismatic rectangular cross-sectioned beam under a uniform moment distribution. A comparison of the analytical results with those from the Abaqus FEM software package reveals a coherent correlation.

Original languageEnglish
Pages (from-to)451-458
Number of pages8
JournalSadhana - Academy Proceedings in Engineering Sciences
Volume41
Issue number4
DOIs
Publication statusPublished - 1 Apr 2016

Bibliographical note

Publisher Copyright:
© 2016, Indian Academy of Sciences.

Keywords

  • cantilever beam
  • Curvature
  • deflection curve
  • elasto-plastic analysis
  • kinematic deflection theory
  • tapered beam subjected to tip moment

Fingerprint

Dive into the research topics of 'A new approach for elasto-plastic finite strain analysis of cantilever beams subjected to uniform bending moment'. Together they form a unique fingerprint.

Cite this