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Composite Materials Research Progress

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Damage Evaluation and Residual Strength Prediction of CFRP Laminates … 173<br />

the function f(x) is used to estimate the overall material damage when composite laminate are<br />

subjected to an out-of-plane load. Because of its synthesis capability the function f(x) can be<br />

used to summarize the whole material damage history and in the case of the transversal load<br />

tests the integral of the function f(x), Int(f), over the domain ΩAE was calculated:<br />

Int<br />

⎛ Es<br />

⎞<br />

f = ∫ Ln⎜ ⎟dΩ<br />

(6)<br />

⎝ Ea<br />

⎠<br />

( )<br />

Ω<br />

AE<br />

The values of Int(f) are influenced by the complete trend of f(x) and by the extension of<br />

the AE domain.<br />

Applications<br />

Case study 1: materials and method<br />

The composite laminates used for the tensile tests were different in terms of lay-up<br />

(unidirectional laminates (UD), angle-ply laminates (AP) and quasi-isotropic laminates (QI),<br />

fibre volume percentage and laminates thickness.<br />

The pre-pregs were made by T-300 graphite fibres and epoxy matrix. Specimens were<br />

cured in autoclave then cut by a diamond saw.<br />

The characteristics of these three types of laminates are reported in Table 1. For each type<br />

ten specimens were tested.<br />

Table 1. Types of laminates used for the tensile tests<br />

Laminate type ID Lay-up<br />

Fibre<br />

Volume<br />

(%)<br />

Thickness<br />

(mm)<br />

Unidirectional UD [0°]8 60 1.4<br />

Angle ply AP [±45°]4S 30 2.8<br />

Quasi isotropic<br />

QI1 [0°,90°, ±45°]4S 60 1.4<br />

QI2 [0°, ±45°, 90°]4S 60 1.4<br />

QI3 [0°,90°, ±45°]4S 30 2.8<br />

Specimen dimensions were 250 mm in length and 25 mm in width for all types of<br />

laminates as recommended by ASTM 3039M for AP and QI lay-ups and the gage length was<br />

140 mm, as shown in figure 4A.<br />

Uniaxial tensile tests were done under displacement control using an INSTRON 8032<br />

with a 100 kN load-cell, and speed of 0.05 mm/sec.<br />

In order to reduce the acquisition of spurious acoustic external signals [47] two noise<br />

gates were assembled in a series configuration with the specimens as shown in figure 4B.

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