A CS-MITC3+ plate element for static analysis of HSDT-type functionally graded plates under thermo-mechanical loading

  • Thanh Chau - Dinh Faculty of Civil Engineering, Ho Chi Minh City University of Technology and Education, 01 Vo Van Ngan street, Thu Duc ward, Ho Chi Minh city, Vietnam
  • Minh La-Tuan Office of People’s Council and People’s Committee at Chau Doc Ward, 12 Le Loi street, Chau Doc ward, An Giang province, Vietnam
  • Binh Le-Phuong Faculty of Civil Engineering, Ho Chi Minh City University of Technology and Education, 01 Vo Van Ngan street, Thu Duc ward, Ho Chi Minh city, Vietnam
Keywords: FG plates, HSDT, CS-FEM, MITC3, thermo-mechanical loading

Abstract

This paper introduces the development of a 3-node triangular plate element, which utilizes C0-type shape functions enhanced by a cubic function at the bubble node positioned at the element’s centroid. This element is designed for the static analysis of functionally graded (FG) plates based on high-order shear deformation theory (HSDT). The in-plane strains of the element are averaged over sub-triangular domains bounded by straight lines connecting the vertex nodes to the bubble node. The cell-based smoothed (CS) technique simplifies the integration of in-plane stiffness matrices by confining it to the boundaries of the sub-triangular domains. To reduce the shear-locking phenomenon caused by the thin plate’s thickness, the approach of mixed interpolation tensorial components (MITC3+) is employed to independently interpolate the transverse shear strains. Several benchmark FG plates subjected to thermo-mechanical loading are statically analyzed using the proposed element, referred to as the CS-MITC3+ plate element. The robustness of the presented element is evaluated in comparison with references.

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Published
19-09-2025
How to Cite
Chau - Dinh, T., La-Tuan, M., & Le-Phuong, B. (2025). A CS-MITC3+ plate element for static analysis of HSDT-type functionally graded plates under thermo-mechanical loading. Journal of Science and Technology in Civil Engineering (JSTCE) - HUCE. Retrieved from https://stce.huce.edu.vn/index.php/en/article/view/3266
Issue
Early View
Section
Research Papers

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