Improved Finite Element Thermomechanical Analysis of Laminated Composite and Sandwich Plates Using the New Enhanced First-Order Shear Deformation Theory

Yunki Gwak, Sy-Ngoc Nguyen, Jun-Sik Kim, Hyungbum Park, Jaehun Lee () and Jang-Woo Han ()
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Yunki Gwak: Missile Research Institute, Agency for Defense Development, Daejeon 34186, Republic of Korea
Sy-Ngoc Nguyen: Department of Mechanical, Robotics and Energy Engineering, Dongguk University, Seoul 04620, Republic of Korea
Jun-Sik Kim: Department of Mechanical System Engineering, Kumoh National Institute of Technology, Gyeongbuk 39117, Republic of Korea
Hyungbum Park: Department of Mechanical Engineering, Incheon National University, Incheon 22012, Republic of Korea
Jaehun Lee: Department of Mechanical, Robotics and Energy Engineering, Dongguk University, Seoul 04620, Republic of Korea
Jang-Woo Han: Department of Mechanical System Engineering, Kumoh National Institute of Technology, Gyeongbuk 39117, Republic of Korea

Mathematics, 2024, vol. 12, issue 7, 1-21

Abstract: This paper proposes a simple yet accurate finite element (FE) formulation for the thermomechanical analysis of laminated composites and sandwich plates. To this end, an enhanced first-order shear deformation theory including the transverse normal effect based on the mixed variational theorem (EFSDTM_TN) was employed in the FE implementation. The primary objective of the FE formulation was to systematically interconnect the displacement and transverse stress fields using the mixed variational theorem (MVT). In the MVT, the transverse stress field is derived from the efficient higher-order plate theory including the transverse normal effect (EHOPT_TN), to enhance the solution accuracy, whereas the displacement field is defined by the first-order shear deformation theory including the transverse normal effect (FSDT_TN), to amplify the numerical efficiency. Furthermore, the transverse displacement field is modified by incorporating the components of the external temperature loading, enabling the consideration of the transverse normal strain effect without introducing additional unknown variables. Based on the predefined relationships, the proposed FE formulation can extract the C0-based computational benefits of FSDT_TN, while improving the solution accuracy for thermomechanical analysis. The numerical performance of the proposed FE formulation was demonstrated by comparing the obtained solutions with those available in the literature, including 3-D exact solutions.

Keywords: laminated composites and sandwich plates; shear deformation theory; mixed variational theorem; thermo-mechanical behavior; transverse normal strain; finite element analysis (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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