Static analysis of corrugated panels using homogenization models and a cell-based smoothed mindlin plate element (CS-MIN3)
Nhan NGUYEN-MINH1, Nha TRAN-VAN2,3, Thang BUI-XUAN2, Trung NGUYEN-THOI4,5()
1. Faculty of Applied Science, Bach Khoa University (BKU), Ho Chi Minh City, Vietnam 2. Faculty of Mathematics and Computer Science, Ho Chi Minh City University of Science (HCMUS), Ho Chi Minh City, Vietnam 3. Department of Mathematics, Louisiana State University, Baton Rouge, LA 70803, USA 4. Division of Computational Mathematics and Engineering, Institute of Computational Science, Ton Duc Thang University, Ho Chi Minh City, Vietnam 5. Faculty of Civil Engineering, Ton Duc Thang University, Ho Chi Minh City, Vietnam
Homogenization is a promising approach to capture the behavior of complex structures like corrugated panels. It enables us to replace high-cost shell models with stiffness-equivalent orthotropic plate alternatives. Many homogenization models for corrugated panels of different shapes have been proposed. However, there is a lack of investigations for verifying their accuracy and reliability. In addition, in the recent trend of development of smoothed finite element methods, the cell-based smoothed three-node Mindlin plate element (CS-MIN3) based on the first-order shear deformation theory (FSDT) has been proposed and successfully applied to many analyses of plate and shell structures. Thus, this paper further extends the CS-MIN3 by integrating itself with homogenization models to give homogenization methods. In these methods, the equivalent extensional, bending, and transverse shear stiffness components which constitute the equivalent orthotropic plate models are represented in explicit analytical expressions. Using the results of ANSYS and ABAQUS shell simulations as references, some numerical examples are conducted to verify the accuracy and reliability of the homogenization methods for static analyses of trapezoidally and sinusoidally corrugated panels.
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