A force-based large increment method for 2D continuum solids and the mesh convergence study

Danbing Long, Zaoyang Guo, Xila Liu, Sundararajan Natarajan, Stéphane Bordas

Research output: Chapter in Book/Conference paperConference paper

Abstract

In this paper, a triangular plane stress element is implemented based on the large increment method (LIM) to solve 2D continuum mechanics problems. In the LIM, after the governing equations are established using the generalized elemental force variables as primary unknowns, an iteration procedure is employed to obtain an optimised approximate solution of the problem. Two numerical examples are investigated to study the mesh convergence of the proposed triangular LIM element. Structured meshes as well as unstructured meshes with different element densities are generated to illustrate the convergence of the total strain energy in both examples. The numerical results obtained from the LIM (including the total strain energy, the displacement and the stress) are compared with the analytical solutions as well as the results from the commercial FEM software ABAQUS. All the results show that the performance of the LIM is as good as the FEM in linear elastic problems. A simple elastoplastic example suggests that the LIM may obtain better result than the FEM.

Original languageEnglish
Title of host publicationAIP Conference Proceedings
EditorsTheodore E. Simos, George Maroulis
Place of PublicationMaryland, US
PublisherAmerican Institute of Physics
Pages377-387
Number of pages11
Volume1504
ISBN (Print)9781467320542
DOIs
Publication statusPublished - 2012
Externally publishedYes
EventInternational Conference of Computational Methods in Sciences and Engineering 2009 - Rhodes, Greece
Duration: 29 Sep 20094 Oct 2009
http://www.iccs-meeting.org/iccs2012/

Publication series

NameAIP Conference Proceedings

Conference

ConferenceInternational Conference of Computational Methods in Sciences and Engineering 2009
Abbreviated titleICCMSE 2009
CountryGreece
CityRhodes
Period29/09/094/10/09
Internet address

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  • Cite this

    Long, D., Guo, Z., Liu, X., Natarajan, S., & Bordas, S. (2012). A force-based large increment method for 2D continuum solids and the mesh convergence study. In T. E. Simos, & G. Maroulis (Eds.), AIP Conference Proceedings (Vol. 1504, pp. 377-387). (AIP Conference Proceedings). American Institute of Physics. https://doi.org/10.1063/1.4771730