Analysis of Thick Orthotropic Auxetic Plates by Boundary Element Method

Journal article

Authors/Editors

Strategic Research Themes

Publication Details

Author list: Sirakorn Jeeradit;Boonme Chinnaboon;Somchai Chucheepsakul

Publisher: มหาวิทยาลัยเทคโนโลยีพระจอมเกล้าพระนครเหนือ

Publication year: 2024

Volume number: 34

Issue number: 1

Start page: 1

End page: 14

Number of pages: 14

ISSN: 2985-2080

eISSN: 2985-2145

URL: https://ph01.tci-thaijo.org/index.php/kmutnb-journal/article/view/256110

Languages: Thai (TH)

Abstract

The aim of this paper is to propose the application of boundary element method to analyze thick orthotropic auxetic plates based on Mindlin’s thick plate theory in which the shear deformation is considered. Auxetics are defined as materials possess a negative Poisson’s ratio due to their internal structures. Arbitrary plates with various or mixed boundary conditions are studied. This research employs the principle of the analog equation. According to this concept, the complicated governing differential equations of the original problem are replaced by three Poisson’s equations with fictitious sources under the same boundary conditions. Then the boundary element technique together with the radial basis function series is applied to establish the boundary integral equations. Thus, the solution of the problem can be obtained from the boundary integral equations which the boundary of the problem is only discretized into elements. Numerical results from the proposed method show an excellent accuracy compared with available analytical solutions and are in good agreement with the finite element solution. The influences of various parameters on responses of plate structures are thoroughly investigated. To demonstrate efficiency of the boundary element method proposed in this paper, thick orthotropic auxetic plates with complex shapes are analyzed and compared the obtained numerical results with those from the finite element solution.

Keywords

ทฤษฎีแผ่นพื้นหนาของมินด์ลิน, วัสดุออกเซติก, วัสดุออร์โททรอปิก, วิธีบาวน์ดารีเอลิเมนต์