Table of Content

Open Access iconOpen Access

ARTICLE

Elasto-Plastic Analysis of Structural Problems Using Atomic Basis Functions

V. Kozulić1, B. Gotovac1

University of Split, Faculty of Civil Engineering, Architecture and Geodesy, 21000 Split, Croatia

Computer Modeling in Engineering & Sciences 2011, 80(3&4), 251-274. https://doi.org/10.3970/cmes.2011.080.251

Abstract

The numerical model for the elasto-plastic analysis of prismatic bars subjected to torsion is developed. The functions implemented in this model are Fup basis functions which belong to the class of atomic functions. The collocation method is used to form a system of equations in which the differential equation of the problem is satisfied in collocation points of closed domain, while boundary conditions are satisfied exactly at the domain boundary. The propagation of plastic zones in the cross-section is monitored by applying the incremental-iterative procedure until failure. An approximate solution of arbitrary accuracy is attained by hierarchically increasing the number of basis functions during non-linear calculation (multilevel approach) in places where plastic yielding occurs. The results obtained by the proposed method are compared with the existing exact solutions and numerical solutions obtained by the Finite Element Method. It can be concluded that the presented numerical model efficiently simulates the real non-linear behavior of the structure and provides excellent results for the elaborated problems.

Keywords


Cite This Article

APA Style
Kozulić, V., Gotovac, B. (2011). Elasto-plastic analysis of structural problems using atomic basis functions. Computer Modeling in Engineering & Sciences, 80(3&4), 251-274. https://doi.org/10.3970/cmes.2011.080.251
Vancouver Style
Kozulić V, Gotovac B. Elasto-plastic analysis of structural problems using atomic basis functions. Comput Model Eng Sci. 2011;80(3&4):251-274 https://doi.org/10.3970/cmes.2011.080.251
IEEE Style
V. Kozulić and B. Gotovac, “Elasto-Plastic Analysis of Structural Problems Using Atomic Basis Functions,” Comput. Model. Eng. Sci., vol. 80, no. 3&4, pp. 251-274, 2011. https://doi.org/10.3970/cmes.2011.080.251



cc Copyright © 2011 The Author(s). Published by Tech Science Press.
This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
  • 1044

    View

  • 817

    Download

  • 0

    Like

Share Link