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Green's operator for a periodic medium with traction-free boundary conditions and computation of the effective properties of thin plates

Abstract : This paper presents a new Green's operator (Gamma-operator) for mixed periodic and stress-free boundary conditions. The solution is split into a classical periodic solution and a complementary solution to account for stress-free boundary conditions. This operator is used to obtain the effective properties of thin heterogeneous plates made of periodic cells, using the Fast Fourier Transform, the periodic thin plate theory and the computation of the strain energy within the cell. Numerical applications are provided, including comparisons with closed-form solutions and finite element solutions.
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https://hal-upec-upem.archives-ouvertes.fr/hal-00691058
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Submitted on : Thursday, January 28, 2016 - 4:23:26 PM
Last modification on : Friday, July 17, 2020 - 5:09:10 PM
Long-term archiving on: : Friday, April 29, 2016 - 10:21:18 AM

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  • HAL Id : hal-00691058, version 1

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T. K. Nguyen, Karam Sab, Guy Bonnet. Green's operator for a periodic medium with traction-free boundary conditions and computation of the effective properties of thin plates. International Journal of Solids and Structures, Elsevier, 2008, 45 (25-26), pp.6518-6534. ⟨hal-00691058⟩

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