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

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Two-scale micropolar plate model for web-core sandwich panels. / Karttunen, Anssi T.; Reddy, J. N.; Romanoff, Jani.

julkaisussa: International Journal of Solids and Structures, Vuosikerta 170, 01.10.2019, s. 82-94.

Tutkimustuotos: Lehtiartikkelivertaisarvioitu

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Bibtex - Lataa

@article{044023f35d55418685158bfe5021a215,
title = "Two-scale micropolar plate model for web-core sandwich panels",
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.",
keywords = "constitutive modeling, Antisymmetric shear, Local bending and twisting, Micropolar plate, Navier solution, Sandwich structures, Constitutive modeling",
author = "Karttunen, {Anssi T.} and Reddy, {J. N.} and Jani Romanoff",
year = "2019",
month = "10",
day = "1",
doi = "10.1016/j.ijsolstr.2019.04.026",
language = "English",
volume = "170",
pages = "82--94",
journal = "International Journal of Solids and Structures",
issn = "0020-7683",

}

RIS - Lataa

TY - JOUR

T1 - Two-scale micropolar plate model for web-core sandwich panels

AU - Karttunen, Anssi T.

AU - Reddy, J. N.

AU - Romanoff, Jani

PY - 2019/10/1

Y1 - 2019/10/1

N2 - 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.

AB - 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.

KW - constitutive modeling

KW - Antisymmetric shear

KW - Local bending and twisting

KW - Micropolar plate

KW - Navier solution

KW - Sandwich structures

KW - Constitutive modeling

UR - http://www.scopus.com/inward/record.url?scp=85064901789&partnerID=8YFLogxK

U2 - 10.1016/j.ijsolstr.2019.04.026

DO - 10.1016/j.ijsolstr.2019.04.026

M3 - Article

VL - 170

SP - 82

EP - 94

JO - International Journal of Solids and Structures

JF - International Journal of Solids and Structures

SN - 0020-7683

ER -

ID: 33282922