Abstract
Two novel plate-bending elements are developed and investigated in this study. Elements with 13 and 15 degree-of-freedoms are named AT13 and AT15, respectively. These triangular elements are formulated in a semi-analytic way. For this aim, the basic elasticity function is employed with unknown parameters. Subsequently, the trial-and-error procedure is used to determine the unidentified constants. Besides, the achieved results are compared with those obtained by displacement-based triangular elements with the same degrees-of-freedom (TUBA13 and TUBA15). In this research, both stress and displacement responses of diverse structures are assessed. After performing extensive numerical studies, the findings clearly demonstrate the superiorities of the proposed elements.
| Original language | English |
|---|---|
| Pages (from-to) | 438-454 |
| Number of pages | 17 |
| Journal | Journal of Strain Analysis for Engineering Design |
| Volume | 58 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - Aug 2023 |
| Externally published | Yes |
Bibliographical note
Publisher Copyright:© IMechE 2023.
Open Access - Access Right Statement
© IMechE 2023. This article is distributed under the terms of the Creative Commons Attribution-NonCommercial 4.0 License (https://creativecommons.org/licenses/by-nc/4.0/) which permits non-commercial use, reproduction and distribution of the work without further permission provided the original work is attributed as specified on the SAGE and Open Access page (https://us.sagepub.com/en-us/nam/open-access-at-sage).Keywords
- complementary energy method
- finite element method
- plate problem
- Triangular element
- variational techniques