Two-scale micropolar plate model for web-core sandwich panels

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Journal Title
Journal ISSN
Volume Title
A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
Date
2019-10-01
Major/Subject
Mcode
Degree programme
Language
en
Pages
Series
International Journal of Solids and Structures
Abstract
A 2-D micropolar equivalent single-layer (ESL), first-order shear deformation (FSDT) plate model for 3-D web-core sandwich panels is developed. First, a 3-D web-core unit cell is modeled by classical shell finite elements. A discrete-to-continuum transformation is applied to the microscale unit cell and its strain and kinetic energy densities are expressed in terms of the macroscale 2-D plate kinematics. The hyperelastic constitutive relations and the equations of motion (via Hamilton’s principle) for the plate are derived by assuming energy equivalence between the 3-D unit cell and the 2-D plate. The Navier solution is developed for the 2-D micropolar ESL-FSDT plate model to study the bending, buckling, and free vibration of simply-supported web-core sandwich panels. In a line load bending problem, a 2-D classical ESL-FSDT plate model yields displacement errors of 34–175% for face sheet thicknesses of 2–10 mm compared to a 3-D FE solution, whereas the 2-D micropolar model gives only small errors of 2.7–3.4% as it can emulate the 3-D deformations better through non-classical antisymmetric shear behavior and local bending and twisting.
Description
Keywords
constitutive modeling, Antisymmetric shear, Local bending and twisting, Micropolar plate, Navier solution, Sandwich structures, Constitutive modeling
Other note
Citation
Karttunen, A T, Reddy, J N & Romanoff, J 2019, ' Two-scale micropolar plate model for web-core sandwich panels ', International Journal of Solids and Structures, vol. 170, pp. 82-94 . https://doi.org/10.1016/j.ijsolstr.2019.04.026