Analytic solution of angle-ply laminated plates under extension, bending, and torsion

Shen Haw Ju, Wen Yu Liang, Hsin Hsiang Hsu, Jiann Quo Tarn

研究成果: Article

摘要

This paper develops a Hamiltonian state space approach for analytic determination of deformation and stress fields in multilayered monoclinic angle-ply laminates under the combined action of extension, bending, and torsion. The present solution satisfies the equations of anisotropic elasticity, the end conditions, the traction-free boundary conditions on the four edge surfaces of the rectangular section, and the interfacial continuity conditions in multilayered laminates. The proposed method only requires the solutions of matrix and eigen equations, regardless of the number or lamination of the layers. The finite element analyses are used to validate the accuracy of the analysis. The analytical solution and the numerical solutions are in excellent agreement.

原文English
期刊Journal of Composite Materials
DOIs
出版狀態Accepted/In press - 2019 一月 1

指紋

Torsional stress
Laminates
Hamiltonians
Traction (friction)
Elasticity
Boundary conditions

All Science Journal Classification (ASJC) codes

  • Ceramics and Composites
  • Mechanics of Materials
  • Mechanical Engineering
  • Materials Chemistry

引用此文

@article{db0db1d10ca7494abc276339dbb9c222,
title = "Analytic solution of angle-ply laminated plates under extension, bending, and torsion",
abstract = "This paper develops a Hamiltonian state space approach for analytic determination of deformation and stress fields in multilayered monoclinic angle-ply laminates under the combined action of extension, bending, and torsion. The present solution satisfies the equations of anisotropic elasticity, the end conditions, the traction-free boundary conditions on the four edge surfaces of the rectangular section, and the interfacial continuity conditions in multilayered laminates. The proposed method only requires the solutions of matrix and eigen equations, regardless of the number or lamination of the layers. The finite element analyses are used to validate the accuracy of the analysis. The analytical solution and the numerical solutions are in excellent agreement.",
author = "Ju, {Shen Haw} and Liang, {Wen Yu} and Hsu, {Hsin Hsiang} and Tarn, {Jiann Quo}",
year = "2019",
month = "1",
day = "1",
doi = "10.1177/0021998319873025",
language = "English",
journal = "Journal of Composite Materials",
issn = "0021-9983",
publisher = "SAGE Publications Ltd",

}

Analytic solution of angle-ply laminated plates under extension, bending, and torsion. / Ju, Shen Haw; Liang, Wen Yu; Hsu, Hsin Hsiang; Tarn, Jiann Quo.

於: Journal of Composite Materials, 01.01.2019.

研究成果: Article

TY - JOUR

T1 - Analytic solution of angle-ply laminated plates under extension, bending, and torsion

AU - Ju, Shen Haw

AU - Liang, Wen Yu

AU - Hsu, Hsin Hsiang

AU - Tarn, Jiann Quo

PY - 2019/1/1

Y1 - 2019/1/1

N2 - This paper develops a Hamiltonian state space approach for analytic determination of deformation and stress fields in multilayered monoclinic angle-ply laminates under the combined action of extension, bending, and torsion. The present solution satisfies the equations of anisotropic elasticity, the end conditions, the traction-free boundary conditions on the four edge surfaces of the rectangular section, and the interfacial continuity conditions in multilayered laminates. The proposed method only requires the solutions of matrix and eigen equations, regardless of the number or lamination of the layers. The finite element analyses are used to validate the accuracy of the analysis. The analytical solution and the numerical solutions are in excellent agreement.

AB - This paper develops a Hamiltonian state space approach for analytic determination of deformation and stress fields in multilayered monoclinic angle-ply laminates under the combined action of extension, bending, and torsion. The present solution satisfies the equations of anisotropic elasticity, the end conditions, the traction-free boundary conditions on the four edge surfaces of the rectangular section, and the interfacial continuity conditions in multilayered laminates. The proposed method only requires the solutions of matrix and eigen equations, regardless of the number or lamination of the layers. The finite element analyses are used to validate the accuracy of the analysis. The analytical solution and the numerical solutions are in excellent agreement.

UR - http://www.scopus.com/inward/record.url?scp=85074537387&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85074537387&partnerID=8YFLogxK

U2 - 10.1177/0021998319873025

DO - 10.1177/0021998319873025

M3 - Article

AN - SCOPUS:85074537387

JO - Journal of Composite Materials

JF - Journal of Composite Materials

SN - 0021-9983

ER -