# Two-scale constitutive modeling of a lattice core sandwich beam

Tutkimustuotos: Lehtiartikkeli

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**Two-scale constitutive modeling of a lattice core sandwich beam.** / Karttunen, Anssi T.; Reddy, J. N.; Romanoff, Jani.

Tutkimustuotos: Lehtiartikkeli

### Harvard

*Composites Part B: Engineering*, Vuosikerta. 160, Sivut 66-75. https://doi.org/10.1016/j.compositesb.2018.09.098

### APA

*Composites Part B: Engineering*,

*160*, 66-75. https://doi.org/10.1016/j.compositesb.2018.09.098

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### Bibtex - Lataa

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### RIS - Lataa

TY - JOUR

T1 - Two-scale constitutive modeling of a lattice core sandwich beam

AU - Karttunen, Anssi T.

AU - Reddy, J. N.

AU - Romanoff, Jani

PY - 2019/3/1

Y1 - 2019/3/1

N2 - 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.

AB - 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.

KW - Constitutive modeling

KW - Finite element

KW - Lattice material

KW - micropolar

KW - Sandwich structures

KW - Timoshenko beam

UR - http://www.scopus.com/inward/record.url?scp=85054822159&partnerID=8YFLogxK

U2 - 10.1016/j.compositesb.2018.09.098

DO - 10.1016/j.compositesb.2018.09.098

M3 - Article

VL - 160

SP - 66

EP - 75

JO - Composites Part B: Engineering

JF - Composites Part B: Engineering

SN - 1359-8368

ER -

ID: 29006615