a simple estimate of laminated composite materials’...

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2005 2 A simple estimate of laminated composite materials’ strength characteristics Nguyen Duy SINH ( : ) 3 Key Words : composite materials, laminate, strength characteristics, layers debonding 1. FRP (CFRP) (GFRP) CFRP GFRP FRP FRP 2. ¯ C = C M {C M - (1 - f )(C M - C I ) S} 1 × [C M - (C M - C I )] {S - f (S - I )} f C I C M S Eshelby 3 1) 3. B1 B5 F1 F5 H1 H5 2) –1 H1 4. (1) –2 –3 x θ =0 5% (2) 4 ((G2) 4 ) θ =0 θ = 90 (3) –5 –6 y 10% (4) –7 (1)

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  • 2005 2

    A simple estimate of laminated composite materials’ strength characteristics

    Nguyen Duy SINH

    ∗ ( : )

    3

    Key Words : composite materials, laminate, strength characteristics, layers debonding

    1.FRP

    (CFRP)(GFRP) CFRP GFRP

    FRPFRP

    2.

    C̄ = CM {CM − (1 − f) (CM − CI) S}−1

    × [CM − (CM − C I)] {S − f (S − I)}f CI CM

    S

    Eshelby

    31)

    3.

    B1 B5 F1 F5 H1H5 2)

    –1H1

    4.

    (1)–2

    –3x

    θ = 0◦

    5%

    (2)–

    4 ((G2)4)

    θ = 0◦ θ = 90◦

    (3)–5

    –6y

    10%(4)

    –7

    (1)

  • y

    x

    z

    –1 H1 (G1/G3/G2)S

    q

    xLΔ

    xLΔ

    x

    x

    L

    qLEx =

    –2

    25

    50

    B4−DF1−DH2−A

    0◦ (GPa)

    B1−AB3−DH1−EB2−EB5−A

    –3

    5.0 10 150

    5

    10

    15

    θ = 0◦

    θ = 15◦

    θ = 30◦

    θ = 45◦

    θ = 60◦

    θ = 75◦θ = 90◦

    Eθ(GPa)

    Eθ(GPa)

    –4 4

    P

    ω

    ω3

    3

    xxPLEI =

    xL

    –5

    100

    200

    F1−EF3−DH5−D

    y EI(GPa/m)

    H1−AH2−AH3−AH5−A

    –6

    P15

    3.3

    10

    ω

    –7 3 (mm)

    0.2 0.40

    20

    40 τmax(MPa)

    ω(mm)

    –8 F1

    170

    6

    15P/2P/2

    ω

    –9 4 (mm)

    10 200

    100

    200

    300

    400 (MPa)

    ω(mm)

    –10 F2

    –8 F1

    F1G2 G3F1 G2 G3

    F1

    (5)

    –94 –10 F2

    5.

    5 10%

    1)

    3 ,

    Vol. 51A, 2005.

    2) FRP .:

    (GF/CF)FRP ,

    , 1984.

    (2005 2 15 )

    (2)