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A Modified Moving Kriging Interpolation-Based Meshfree Method with Refined Sinusoidal Shear Deformation Theory for Analysis of Functionally Graded Plates

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Proceedings of the International Conference on Advances in Computational Mechanics 2017 (ACOME 2017)

Part of the book series: Lecture Notes in Mechanical Engineering ((LNME))

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Abstract

This paper presents an efficient approach based on a modified Moving Kriging–interpolation meshfree method integrated with the refined sinusoidal shear deformation plate theory to analyze static bending and free vibration of functionally graded plates. Unlike traditional higher order shear deformation plate theories, this theory presented retains only four governing equations, accounts for a sinusoidal distribution of the transverse shear strains through the thickness of the plate, and satisfies the zero traction boundary conditions on the top and bottom surfaces of the plate without using shear correction factor. A new modified Gaussian correlation function to construct MK interpolation shape functions is presented. We first propose the formulation and then provide comparison studies via numerical examples, which are performed to confirm the accuracy and reliability of the proposed method.

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Author information

Authors and Affiliations

  1. Faculty of Civil Engineering, Ho Chi Minh City University of Architecture, Ho Chi Minh, Vietnam

    V. Vu-Tan

  2. Faculty of Civil Engineering, Ho Chi Minh City University of Technology, Ho Chi Minh, Vietnam

    S. Phan-Van

Authors
  1. V. Vu-Tan
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  2. S. Phan-Van
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Corresponding author

Correspondence to V. Vu-Tan .

Editor information

Editors and Affiliations

  1. CIR Technology, Ho Chi Minh City University of Technology, Ho Chi Minh, Vietnam

    Hung Nguyen-Xuan

  2. Faculty of Engineering and Architecture, Ghent University, Ghent, Belgium

    Phuc Phung-Van

  3. Computational Mechanics, Bauhaus-University Weimar, Weimar, Germany

    Timon Rabczuk

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Vu-Tan, V., Phan-Van, S. (2018). A Modified Moving Kriging Interpolation-Based Meshfree Method with Refined Sinusoidal Shear Deformation Theory for Analysis of Functionally Graded Plates. In: Nguyen-Xuan, H., Phung-Van, P., Rabczuk, T. (eds) Proceedings of the International Conference on Advances in Computational Mechanics 2017. ACOME 2017. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-10-7149-2_33

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  • DOI: https://doi.org/10.1007/978-981-10-7149-2_33

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-7148-5

  • Online ISBN: 978-981-10-7149-2

  • eBook Packages: EngineeringEngineering (R0)

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