Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Two-scale constitutive modeling of a lattice core sandwich beam   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.

21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph