Fracture and Structural Integrity e-ISSN 1971-8993 Open access
Miscellanea Vol. 8, No. 29 (2014)

The strong formulation finite element method: stability and accuracy

Author and affiliation details
DOI
10.3221/IGF-ESIS.29.22
Pages
pages 251-265
Published
Published inVol. 8, No. 29 (2014)Go to the issue

Abstract

The Strong Formulation Finite Element Method (SFEM) is a numerical solution technique for solving arbitrarily shaped structural systems. This method uses a hybrid scheme given by the Differential Quadrature Method (DQM) and the Finite Element Method (FEM). The SFEM takes the best from DQM and FEM giving a highly accurate strong formulation based technique with the adaptability of finite elements. The present study investigates the stability and accuracy of SFEM when applied to 1D and 2D structural components, such as rods, beams, membranes and plates using analytical and semi-analytical well-known solutions. The numerical results show that the present approach can be very accurate using a small number of grid points and elements, when it is compared to standard FEM.

Keywords

Article history

  1. ReceivedUntil the next stage: 0 days
  2. AcceptedUntil the next stage: 0 days
  3. Published

How to cite

APA

Tornabene, F., Fantuzzi, N., & Bacciocchi, M. (2014). The strong formulation finite element method: stability and accuracy. Fracture and Structural Integrity, 8(29), pages 251–265. https://doi.org/10.3221/IGF-ESIS.29.22

IEEE

F. Tornabene, N. Fantuzzi, and M. Bacciocchi, “The strong formulation finite element method: stability and accuracy,” Fracture and Structural Integrity, vol. 8, no. 29, pp. pages 251–265, 2014, doi: 10.3221/IGF-ESIS.29.22.

MLA

Tornabene, Francesco, et al. “The strong formulation finite element method: stability and accuracy.” Fracture and Structural Integrity, vol. 8, no. 29, 2014, pp. pages 251–265. https://doi.org/10.3221/IGF-ESIS.29.22.

Chicago

Tornabene, Francesco, Nicholas Fantuzzi, and Michele Bacciocchi. 2014. “The strong formulation finite element method: stability and accuracy.” Fracture and Structural Integrity 8 (29): pages 251–265. https://doi.org/10.3221/IGF-ESIS.29.22.

Harvard

Tornabene, F., Fantuzzi, N. and Bacciocchi, M. (2014) ‘The strong formulation finite element method: stability and accuracy’, Fracture and Structural Integrity, 8(29), pp. pages 251–265. doi: 10.3221/IGF-ESIS.29.22.

Vancouver

Tornabene F, Fantuzzi N, Bacciocchi M. The strong formulation finite element method: stability and accuracy. Fracture and Structural Integrity. 2014;8(29):pages 251-265. doi:10.3221/IGF-ESIS.29.22

BibTeX

@article{tornabene2014, author = {Tornabene, Francesco and Fantuzzi, Nicholas and Bacciocchi, Michele}, title = {The strong formulation finite element method: stability and accuracy}, journal = {Fracture and Structural Integrity}, year = {2014}, volume = {8}, number = {29}, pages = {pages 251--265}, doi = {10.3221/IGF-ESIS.29.22}, url = {https://doi.org/10.3221/IGF-ESIS.29.22}, issn = {1971-8993} }

RIS

TY - JOUR AU - Tornabene, Francesco AU - Fantuzzi, Nicholas AU - Bacciocchi, Michele TI - The strong formulation finite element method: stability and accuracy JO - Fracture and Structural Integrity T2 - Fracture and Structural Integrity PY - 2014 DA - 2014/07/09 VL - 8 IS - 29 SP - pages 251 EP - 265 DO - 10.3221/IGF-ESIS.29.22 UR - https://doi.org/10.3221/IGF-ESIS.29.22 SN - 1971-8993 ER -

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