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

Long, Danbing, Guo, Zaoyong, Liu, X., Natarajan, S. and Bordas, Stephane Pierre Alain ORCID: 2012. A force-based large increment method for 2D continuum solids and the mesh convergence study. Presented at: International Conference Of Computational Methods In Sciences And Engineering 2009: (ISSMCE 2009), Rhodes, Greece, 29 September–4 October 2009. AIP Conference Proceedings. , vol.1504 American Institute of Physics, pp. 377-387. 10.1063/1.4771730

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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.

Item Type: Conference or Workshop Item (Paper)
Status: Published
Schools: Engineering
Subjects: T Technology > TJ Mechanical engineering and machinery
Publisher: American Institute of Physics
Last Modified: 24 Oct 2022 10:25

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