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A Nonlocal Numerical Solution Based on Carrera Unified Formulation for Static and Free Vibration Analysis of Laminated Composite Nanoplate

Center for Engineering Application and Technology Solutions, Ho Chi Minh City Open University, Ho Chi Minh City, Vietnam

E-mail Address: cuong.lt@ou.edu.vn

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Minh Hoang Le

https://orcid.org/0000-0001-8982-1152

Center for Engineering Application and Technology Solutions, Ho Chi Minh City Open University, Ho Chi Minh City, Vietnam

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Thi Thuy Linh-Nguyen

https://orcid.org/0009-0001-6813-940X

Faculty of Civil Engineering, Ho Chi Minh City University of Technology — HUTECH, Ho Chi Minh City, Vietnam

E-mail Address: ntt.linh85@hutech.edu.vn

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Van Hai Luong

https://orcid.org/0000-0002-3694-3735

Faculty of Civil Engineering, Ho Chi Minh City University of Technology (HCMUT), 268 Ly Thuong Kiet Street, Ward 14, District 10, Ho Chi Minh City, Vietnam

Vietnam National University Ho Chi Minh City (VNU-HCM), Linh Trung Ward, Thu Duc District, Ho Chi Minh City, Vietnam

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Samir Khatir

https://orcid.org/0000-0002-8101-3633

Center for Engineering Application and Technology Solutions, Ho Chi Minh City Open University, Ho Chi Minh City, Vietnam

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Minh Thi Tran

https://orcid.org/0000-0001-9922-0203

Faculty of Civil Engineering, Ho Chi Minh City University of Technology (HCMUT), 268 Ly Thuong Kiet Street, Ward 14, District 10, Ho Chi Minh City, Vietnam

Vietnam National University Ho Chi Minh City (VNU-HCM), Linh Trung Ward, Thu Duc District, Ho Chi Minh City, Vietnam

E-mail Address: tmthi@hcmut.edu.vn

Corresponding author.

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, and

Thai-Binh Nguyen

https://orcid.org/0000-0002-2987-5439

Faculty of Civil Engineering, Ho Chi Minh City University of Technology (HCMUT), 268 Ly Thuong Kiet Street, Ward 14, District 10, Ho Chi Minh City, Vietnam

Vietnam National University Ho Chi Minh City (VNU-HCM), Linh Trung Ward, Thu Duc District, Ho Chi Minh City, Vietnam

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https://doi.org/10.1142/S0219455425500609Cited by:1 (Source: Crossref)

Abstract

This paper presents an advanced numerical model based on Carrera unified formulation (CUF) and isogeometric analysis (IGA), the size-dependent finite element unified formulation model is proposed to investigate the static bending and free vibration of laminated composite nano-plate. The CUF type of trigonometric function with nine degrees of freedom is used to simulate the displacement fields of laminated nano-plate. The size effect of nano-plate structures is included through the Eringen’s nonlocal elastic theory. The size-dependent governing equations for static bending and free vibration of laminated are established based on CUF, IGA and nonlocal theory. The correctness of the presented numerical model is verified by comparison with existing solutions. Furthermore, with the addition of a nonlocal effect, the plate’s stiffness decreases correlating to an increase in nonlocal parameter. Through different calculations, the changes in the static and free vibration responses of laminated composite nano-plate are effected by nonlocal parameter, plate length-to-thickness ratio, and boundary conditions including Young’s modulus ratio.

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