n_delamination.pdf

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    Delamination

    Interlaminar stress in composite structures usually results from the mismatch of engineering

    properties between plies. These stresses are the underlying cause of delamination initiation and

    propagation. Delamination is defined as the cracking of the matrix between plies. The

    aforementioned stresses are out-of-plane and occur at structural discontinuities, as shown in

    Figure 4-8. In cases where the primary loading is in-plane, stress gradients can produce an

    out-of-plane load scenario because the local structure may be discontinuous.

    Analysis of the delamination problem has

    identified the strain energy release rate, G, a s a

    key parameter for characterizing failures. This

    quantity is independent of lay-up sequence or

    delamination source. [4-25] NASA and Army

    investigators have shown from finite element

    analysis that once a delamination is modeled a few

    ply thicknesses from an edge, G reaches a plateau

    given by the equation shown in Figure 4-9.

    where:

    t = laminate thickness

    = remote strain

    ELAM

    = modulus beforedelamination

    E* = modulus afterdelamination

    191

    Chapter Four PERFORMANCE

    Figure 4-8 Sources of Out-of-Plane Loads from Load Path Discontinuities [ASM, En-gineered Materials Handbook]

    Figure 4-9 S t ra i n E ne r g y Re-lease Rate for Delamination Growth[OBrien, Delamination Durability ofComposite Materials for Rotorcraft]

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    Linear elastic fracture mechanics identifies three distinct loading modes that correspond to

    different crack surface displacements. Figure 4-10 depicts these different modes as follows:

    Mode I- Opening or tensile loading, where the crack surfaces move directlyapart;

    Mode II - Sliding or in-plane shear, where the crack surfaces slide over eachother in a direction perpendicular to the leading edge of the crack; and

    Mode III - Tearing or antiplane shear, where the crack surfaces moverelative to each other and parallel to the leading edge of the crack

    (scissoring).

    Mode I is the dominant form of loading in cracked metallic structures. With composites, any

    combination of modes may be encountered. Analysis of mode contribution to total strain

    energy release rate has been done using finite element techniques, but this method is too

    cumbersome for checking individual designs. A simplified technique has been developed by

    Georgia Tech for NASA/Army whereby Mode II and III strain energy release rates are

    calculated by higher order plate theory and then subtracted from the total G to determine Mode

    I contribution.

    Delamination in tapered laminates is of particular interest because the designer usually has

    control over taper angles. Figure 4-11 shows delamination initiating in the region A wherethe first transition from thin to thick laminate occurs. This region is modeled as a flat laminate

    with a stiffness discontinuity in the outer belt plies and a continuous stiffness in the inner

    core plies. The belt stiffness in the tapered region E2

    was obtained from a tensor

    transformation of the thin region E1

    transformed through the taper angle beta. As seen in the

    figure's equation, G will increase as beta increases, because the belt stiffness is a function of

    the taper angle. [4-25]

    192

    Delamination Marine Composites

    Figure 4-10 Basic Modes of Loading Involving Different Crack Surface Displacements[ASM, Engineered Materials Handbook]

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    Lately, there has been much interest in

    the aerospace industry in the

    development of tough resin systemsthat resist impact damage. The

    traditional, high-strength epoxy

    systems are typically characterized as

    brittle when compared to systems used

    in the marine industry. In a recent test

    of aerospace matrices, little difference

    in delamination durability showed up.

    However, the tough matrix composites

    did show slower delamination growth.

    Figure 4-12 is a schematic of a log-log

    plot of delamination growth rate,

    ,

    where:

    Gc

    = cyclic strainenergy releaserate

    Gth

    = cyclic threshold

    193

    Chapter Four PERFORMANCE

    Figure 4-11 Strain Energy Release Rate Analysis of Delamination in a Tapered Lami-nate [OBrien, Delamination Durability of Composite Materials for Rotorcraft]

    Figure 4-12 Comparison of DelaminationGrowth Rates for Composites with Brittle andTough Matrices [OBrien, Delamination Durabil-ity of Composite Materials for Rotorcraft]