Two-scale constitutive modeling of a lattice core sandwich beam

Research output: Contribution to journalArticle

Details

Original languageEnglish
Pages (from-to)66-75
Number of pages10
JournalComposites Part B: Engineering
Volume160
StatePublished - 1 Mar 2019
MoE publication typeA1 Journal article-refereed

Researchers

Research units

  • Texas A and M University

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.

    Research areas

  • Constitutive modeling, Finite element, Lattice material, micropolar, Sandwich structures, Timoshenko beam

ID: 29006615