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## Three-dimensional state space spline finite strip analysis of angle-plied laminates

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Three-dimensional state space spline finite strip analysis of angle-plied laminates. / Attallah, K. M. Z.; Yu, Min; Ye, Jianqiao.

In: Composites Part B: Engineering, Vol. 66, 11.2014, p. 25-35.

Research output: Contribution to journalJournal articlepeer-review

### Author

Attallah, K. M. Z. ; Yu, Min ; Ye, Jianqiao. / Three-dimensional state space spline finite strip analysis of angle-plied laminates. In: Composites Part B: Engineering. 2014 ; Vol. 66. pp. 25-35.

### Bibtex

@article{7f8c001d3e8a45ed9e27d15bcbe9675a,
title = "Three-dimensional state space spline finite strip analysis of angle-plied laminates",
abstract = "In this paper, a combined spline finite strip and state space approach is introduced to obtain three- dimensional solutions of laminated composite plates with general boundary conditions. Spline and linear polynomial functions are used, respectively, as the shape functions in the longitudinal and transverse directions of the strips. The variations of the displacements and stresses through the thickness of a strip are calculated through solving differential equations in the form of the state space equations. This method allows the displacements and stresses to be computed simultaneously at all nodes along the nodal lines. In comparison with three dimensional finite element solutions, the current method guarantees the continuity of all the displacements and through-thickness stresses across all interfaces of material layer and, therefore, provides more reliable and accurate results. It can also reduce the computational effort when compared with the traditional three-dimensional finite element and finite strip methods.",
keywords = "Laminates, Plates, Interface, Computational modeling, Finite element analysis (FEA), CYLINDRICAL-SHELLS, INTEGRATION METHOD, COMPOSITE PLATES, VIBRATION, PANELS, ELEMENT, MODELS",
author = "Attallah, {K. M. Z.} and Min Yu and Jianqiao Ye",
year = "2014",
month = nov,
doi = "10.1016/j.compositesb.2014.04.033",
language = "English",
volume = "66",
pages = "25--35",
journal = "Composites Part B: Engineering",
issn = "1359-8368",
publisher = "ELSEVIER SCI LTD",

}

### RIS

TY - JOUR

T1 - Three-dimensional state space spline finite strip analysis of angle-plied laminates

AU - Attallah, K. M. Z.

AU - Yu, Min

AU - Ye, Jianqiao

PY - 2014/11

Y1 - 2014/11

N2 - In this paper, a combined spline finite strip and state space approach is introduced to obtain three- dimensional solutions of laminated composite plates with general boundary conditions. Spline and linear polynomial functions are used, respectively, as the shape functions in the longitudinal and transverse directions of the strips. The variations of the displacements and stresses through the thickness of a strip are calculated through solving differential equations in the form of the state space equations. This method allows the displacements and stresses to be computed simultaneously at all nodes along the nodal lines. In comparison with three dimensional finite element solutions, the current method guarantees the continuity of all the displacements and through-thickness stresses across all interfaces of material layer and, therefore, provides more reliable and accurate results. It can also reduce the computational effort when compared with the traditional three-dimensional finite element and finite strip methods.

AB - In this paper, a combined spline finite strip and state space approach is introduced to obtain three- dimensional solutions of laminated composite plates with general boundary conditions. Spline and linear polynomial functions are used, respectively, as the shape functions in the longitudinal and transverse directions of the strips. The variations of the displacements and stresses through the thickness of a strip are calculated through solving differential equations in the form of the state space equations. This method allows the displacements and stresses to be computed simultaneously at all nodes along the nodal lines. In comparison with three dimensional finite element solutions, the current method guarantees the continuity of all the displacements and through-thickness stresses across all interfaces of material layer and, therefore, provides more reliable and accurate results. It can also reduce the computational effort when compared with the traditional three-dimensional finite element and finite strip methods.

KW - Laminates

KW - Plates

KW - Interface

KW - Computational modeling

KW - Finite element analysis (FEA)

KW - CYLINDRICAL-SHELLS

KW - INTEGRATION METHOD

KW - COMPOSITE PLATES

KW - VIBRATION

KW - PANELS

KW - ELEMENT

KW - MODELS

U2 - 10.1016/j.compositesb.2014.04.033

DO - 10.1016/j.compositesb.2014.04.033

M3 - Journal article

VL - 66

SP - 25

EP - 35

JO - Composites Part B: Engineering

JF - Composites Part B: Engineering

SN - 1359-8368

ER -