Review of the strain-based formulation for analysis of plane structures Part II: Evaluation of the numerical performance

Autor: M. Rezaiee-Pajand, Nima Gharaei-Moghaddam, M. Ramezani
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Iranian Journal of Numerical Analysis and Optimization, Vol 11, Iss 2, Pp 485-511 (2021)
Druh dokumentu: article
ISSN: 2423-6977
2423-6969
DOI: 10.22067/ijnao.2021.70940.1051
Popis: In this part of the study, several benchmark problems are solved to evalu ate the performance of the existing strain-based membrane elements, which were reviewed in the first part. This numerical evaluation provides a basis for comparison between these elements. Detailed discussions are offered after each benchmark problem. Based on the attained results, it is con cluded that inclusion of drilling degrees of freedom and also utilization of higher-order assumed strain field result in higher accuracy of the elements. Moreover, it is evident that imposing the optimal criteria such as equilib rium and compatibility on the assumed strain field, in addition to reducing the number of degrees of freedom of the element, increases the convergence speed of the resulting strain-based finite elements.
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