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Ton Duc Thang University (TDTU) is a public university with the main campus located in vibrant Ho Chi Minh City, Vietnam’s economic and educational hub. Founded in 1997, TDTU has developed into one of the largest and fastest growing universities in Vietnam with more than 22,000 students, enrolled in undergraduate and graduate programs ranging from science, engineering to business management, law, and humanities. To foster the country’s human resources and best serve the nation in the knowledge based economy of the 21st century, TDTU is combining vocational training with high-level research. The establishment of JAEC is one of TDTU’s efforts in this direction. More

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  • Vol 9, No 3 (2025)
  • Nguyen

A Chebyshev Moving Kriging Meshless Approach for Buckling Analysis of Multilayer Composite Plates

Lieu Bich Nguyen

Abstract


This paper proposes a new and robust numerical framework for the buckling analysis of multilayer composite plates by integrating the Chebyshev Moving Kriging (CMK) meshfree method with a Third-Order Chebyshev Shear Deformation Theory (TCSDT). The novelty of this study lies in the combined use of Chebyshev polynomials for both interpolation and shear deformation modeling. The TCSDT inherently satisfies the zero-traction boundary condition, thereby eliminating the need for shear correction factors, while the orthogonality and fast convergence of Chebyshev polynomials enhance numerical stability and accuracy compared to traditional polynomial formulations. The governing equations are systematically derived using the principle of virtual work, and the critical buckling loads are obtained through the CMK scheme. Benchmark studies demonstrate that the proposed method not only reproduces results from three-dimensional elasticity theory and established higher-order models with excellent accuracy but also offers improved robustness and efficiency. The findings confirm that the CMK–TCSDT framework provides a reliable and efficient computational tool for analyzing the buckling behavior of laminated composite structures.

Keywords


Laminated composite plates; Chebyshev polynomials; meshfree methods; higher-order shear deformation theory.

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DOI: http://dx.doi.org/10.55579/jaec.202593.502

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Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.