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Research Papers

A Novel Shell Element for Quasi-Static and Natural Frequency Analysis of Textile Composite Structures

[+] Author and Article Information
Wu Xu

Aerospace Engineering Department,
University of Michigan,
Ann Arbor, MI 48109-2140

Anthony M. Waas

Felix Pawlowski Collegiate Chair Professor
Aerospace Engineering Department,
and Mechanical Engineering Department,
University of Michigan,
Ann Arbor, MI 48109-2140

1Corresponding author.

Manuscript received December 27, 2013; final manuscript received April 13, 2014; accepted manuscript posted April 16, 2014; published online May 5, 2014. Assoc. Editor: Daining Fang.

J. Appl. Mech 81(8), 081002 (May 05, 2014) (9 pages) Paper No: JAM-13-1521; doi: 10.1115/1.4027439 History: Received December 27, 2013; Revised April 13, 2014; Accepted April 16, 2014

A shell element for analysis of textile composite structures is proposed in this paper. Based on the embedded element method and solid shell concept, the architecture, geometry, and material properties of a repeat unit cell (RUC) of textile composite are embedded in a single shell finite element. Flat and curved textile composite structures are used to apply and verify the present shell element. The deformation and natural frequency obtained by the present shell element are compared against those computed from full three-dimensional finite element analyses. It is shown that the proposed shell element is efficient, simple, and reliable for textile composite structural analysis.

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Figures

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Fig. 2

Derivation of equivalent material matrix

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Fig. 3

Derivation of plate element from solid element: (a) an eight noded solid element and (b) a four noded plate element

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Fig. 4

A representative unit cell of a woven textile composite: (a) geometrical dimension, (b) mesh of the RUC, and (c) mesh of a RUC with two layers

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Fig. 1

Embedded elements examples: (a) a truss element embedded in a plane element and (b) a solid element embedded in another solid

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Fig. 5

Procedure for the design of plate element for textile composites

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Fig. 6

Test examples: (a) an isotropic plate, (b) a flat textile composite sheet, and (c) a curved textile composite sheet

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Fig. 7

Comparison of the deformation in the thickness direction along x, y = 0 between plate element and three-dimensional analysis by using C3D10, single layered textile plate

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Fig. 8

Comparison of the deformation in the thickness direction along x, y = 0 between plate element and three-dimensional analysis by using C3D10, two layered textile plate

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Fig. 9

Mode shapes for the textile plate (a) first mode and (b) second mode

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Fig. 10

A curved shell made of woven textile composite subjected to uniform pressure and fixed displacement at one edge

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Fig. 11

Variation of the displacement component in z direction with angle θ

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