The iterative multiscale finite element method for sandwich beams and plates. (25th August 2021)

• Record Type: Journal Article
• Authors: Dryzek, Mateusz; Cecot, Witold
• Is Part Of: International journal for numerical methods in engineering. Volume 122:Number 22(2021)
• Page Start: 6714
• Page End: 6735
• Publication Date: 2021-08-25
• Subjects: composite structure -- multiscale finite element method -- residual‐driven correction -- sandwich beam and plate; Numerical analysis -- Periodicals; Engineering mathematics -- Periodicals; 620.001518
• DOI: 10.1002/nme.6808
• Languages: English
• ISSNs: 0029-5981

Abstract

Abstract: We present an adaptation of the multiscale finite element method to the analysis of sandwich beams and plates with complex lattice layers. The proposed modification significantly reduces the number of degrees of freedom (even by four orders) due to the anisotropic higher‐order coarse‐scale approximation and the novel shape functions that take into account the microscale boundary conditions. Moreover, the local iterative corrector scheme Nguyen and Schillinger (2019) adapted for the bending‐dominated responses of sandwich structures provides converges of the coarse mesh approximation to the best possible fine‐mesh solution. Several numerical examples are presented to demonstrate the capabilities of the method. We found that the proposed modifications of the shape functions and the higher‐order coarse mesh approximation increase the convergence rate. Finally, we validated the proposed model by comparison of the numerical results with experimental ones for a sandwich panel with a dual corrugated high‐density fiberboard core. Very good consistency of both results was observed.