A 4-node quadrilateral element with center-point based discrete shear gap (CP-DSG4)

Authors

  • Minh Nguyen Duy Tan Research Institute for Computational Engineering, Duy Tan University https://orcid.org/0000-0002-2026-2310
  • Tinh Quoc Bui Department of Civil and Environmental Engineering, Tokyo Institute of Technology, 2-12-1-W8-22, Ookayama, Meguro-ku, Tokyo 152-8552, Japan
  • Vay Siu Lo Department of Engineering Mechanics, Faculty of Applied Science, Ho Chi Minh City University of Technology (HCMUT), Vietnam National University Ho Chi Minh City, Vietnam
  • Nha Thanh Nguyen Department of Engineering Mechanics, Faculty of Applied Science, Ho Chi Minh City University of Technology (HCMUT), Vietnam National University Ho Chi Minh City, Vietnam https://orcid.org/0000-0001-9733-5189

DOI:

https://doi.org/10.15625/0866-7136/16152

Keywords:

discrete shear gap, four-node quadrilateral element, finite element method, Reissner-Mindlin plate theory, CP-DSG4

Abstract

This work aims at presenting a novel four-node quadrilateral element, which is enhanced by integrating with discrete shear gap (DSG), for analysis of Reissner-Mindlin plates. In contrast to previous studies that are mainly based on three-node triangular elements, here we, for the first time, extend the DSG to four-node quadrilateral elements. We further integrate the fictitious point located at the center of element into the present formulation to eliminate the so-called anisotropy, leading to a simplified and efficient calculation of DSG, and that enhancement results in a novel approach named as "four-node quadrilateral element with center-point based discrete shear gap - CP-DSG4". The accuracy and efficiency of the CP-DSG4 are demonstrated through our numerical experiment, and its computed results are validated against those derived from the three-node triangular element using DSG, and other existing reference solutions.

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Published

20-10-2021

How to Cite

Nguyen, M., Bui, T. Q., Lo, V. S., & Nguyen, N. T. (2021). A 4-node quadrilateral element with center-point based discrete shear gap (CP-DSG4). Vietnam Journal of Mechanics, 43(4), 319–331. https://doi.org/10.15625/0866-7136/16152

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Research Paper