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

	Document type :	Scientific congresses, symposiums and conference proceedings : Paper published in a journal
	Discipline(s) :	Engineering, computing & technology : Multidisciplinary, general & others
	Focus Areas :	Computational Sciences
	To cite this reference:	http://hdl.handle.net/10993/12123

Title :	A force-based large increment method for 2D continuum solids and the mesh convergence study
Language :	English
Author, co-author :	Long, D. [Department of Engineering Mechanics, Shanghai Jiao Tong University, Shanghai, China]
	Guo, Z. [Department of Civil Engineering, University of Glasgow, Glasgow G12 8LT, United Kingdom]
	Liu, X. [Department of Civil Engineering, Shanghai Jiao Tong University, Shanghai, China]
	Natarajan, S. [Department of Civil Engineering, University of Glasgow, Glasgow G12 8LT, United Kingdom]
	Bordas, Stéphane [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
Publication date :	2012
Journal title :	AIP Conference Proceedings
Volume :	1504
Pages :	377-387
Peer reviewed :	Yes
ISSN :	0094243X
Event name :	International Conference of Computational Methods in Sciences and Engineering 2009, ICCMSE 2009
Event date :	29 September 2009 through 4 October 2009
Event place (city) :	Rhodes
Abstract :	[en] 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. © 2012 American Institute of Physics.
Funders :	Eur. Soc. Comput. Methods Sci., Eng. Technol. (ESCMSET)
Target :	Researchers ; Professionals ; Students
Permalink :	http://hdl.handle.net/10993/12123
DOI :	10.1063/1.4771730
Commentary :	9780735411227

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