Two-scale constitutive modeling of a lattice core sandwich beam

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Journal Title
Journal ISSN
Volume Title
A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
Date
2019-03-01
Major/Subject
Mcode
Degree programme
Language
en
Pages
10
66-75
Series
Composites Part B: Engineering, Volume 160
Abstract
Constitutive equations are derived for a 1-D micropolar Timoshenko beam made of a web-core lattice material. First, a web-core unit cell is modeled by discrete classical constituents, i.e., the Euler–Bernoulli beam finite elements (FE). A discrete-to-continuum transformation is applied to the microscale unit cell and its strain energy density is expressed in terms of the macroscale 1-D beam kinematics. Then the constitutive equations for the micropolar web-core beam are derived assuming strain energy equivalence between the microscale unit cell and the macroscale beam. A micropolar beam FE model for static and dynamic problems is developed using a general solution of the beam equilibrium equations. A localization method for the calculation of periodic classical beam responses from micropolar results is given. The 1-D beam model is used in linear bending and vibration problems of 2-D web-core sandwich panels that have flexible joints. Localized 1-D results are shown to be in good agreement with experimental and 2-D FE beam frame results.
Description
Keywords
Constitutive modeling, Finite element, Lattice material, micropolar, Sandwich structures, Timoshenko beam
Other note
Citation
Karttunen , A T , Reddy , J N & Romanoff , J 2019 , ' Two-scale constitutive modeling of a lattice core sandwich beam ' , Composites Part B: Engineering , vol. 160 , pp. 66-75 . https://doi.org/10.1016/j.compositesb.2018.09.098