Delamination of multidirectional composite laminates at 0°/Theta° ply interfaces

(1)

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# * E * / 1 * & # 1 # & .CDD/ - , & 8 ( <9 / . 6 < , χ δ + = . / : * ) 2 + Γ Γ − = 6 6 6 < , χ 6 66 @ , = Γ .6/ : ++ ,+

(4)

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# , % # * & & ) 8 <9 # ) * & & ) ⋅ − − = ₆ 6 6 < < # δ δ 6 F+ = .</ : 3 & & * / 4 # & # CDD -- , ' 8 +9 , 6 < 6 6 = .+/ : . 5 16 / % # & * 8<9E

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6 < < 6 < 6 6 6 6 = , + + = χ .?/

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6 < 6 6 6 6 6 6 @ , + ⋅ + + = χ .@/ 6 6 + 6 6 6 6 < / . + + ⋅ + ⋅ = , , χ χ .A/ : ) + ) 2 G +62 # & C B .C2 , =/ ' ; * & E < 6 6 + = β ' 7 *9 * : / < # C2 . + ? @/ % # & 8A9 & # ( 8+9 % & # 8 ,9 & < 1 0" . / B . / D &

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* E 6 < 6 / . / . 6 + + = # , ω ω γ . / 6 < 6 / . / . 6 + − = # , ω ω γ . / : < < 6 6 / . = # ⋅ + − = < < 6 < / . + − = 6 < = + = 6 = 6 < 6 6 6 6/ =. / <. / . + + + + = / . 6 6< < < 6 + = / . / . = / . 6 6 6 ⋅ + ⋅ = γ ω=,6 −<. 6/ C2 . / , , & & . + / ) . +/ # γ & * CDD * % 2

# ω & & * 2 &

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# % * # 6 > * % & & % % ' # 6 ) & 2 1 . 6 / 1 6 .= / 1 < . @ / @ =< @? " =+ < D O O O J E @ % +0@0 # < ' # & 1 0" @ 1 @ 1 0" 1 #* @( 7 1 0" @ 1 @ * % & CDD # .4 A * = / 0 * ) & 6 @ 7 & 1 . < R / # . 6 R / * # * ) , * * & # ( * 4 ( & = * E <, 0 + @ 0 6 # * N< 0

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# + 1% & ' * C % W G+ . / +, , ,, = =, &'( .J/ 1 CT . / 1 C. / , A , ?= , ,@ +A =< ? + ? 6? +? = A <, A 6 += 6? = << +, < < < @, &'( .J/ 1 CT . / 1 C. / + A@ @ = @ ? + ?, <, ,< + ?< < < ?6 <A ?6 = 6 ? = <? 6 A 6 ? # , 1% & ' * C % W G@ . / @, A A, , ) ) * .J/ 1 CT . / 1 C. / 6? A6 6@ ? < < 6@ <6 < A6 <+ + 6? A@ <+ ?+ <@ , 6@ A <@ A? +6 ,@ 6? ?, +6 =, += ,= ) ) * .J/ 1 CT . / 1 C. / , <@ 6 ,+ 6< + , @@ 6< 6= 6, = , , 6, @? 6@ <? +A =? 6? << < @ , + 6A @@ << + +, .J/ 1 CT . / 1 C. / == <= 6, <+ @ = + <= << <, = =6 <= + <= += A, =? <= @? <= @@ A 6? <? 6A <? @6 &'( - .J/ 1 CT . / 1 C. / <+ ? < = < 6? < A< + A= + =+ < < = A@ = ?= 6A ,= @ ?< @ <= 6@ ?< 6 @ 6 ,+ &'( -) .J/ 1 CT . / 1 C. / 6= 6 , < 6< 6, ? = A< + A@ 6+ @6 A <6 ? 6+ 6+ 6@ 66 <? A ,+ 66 @< 6< @? 6 A ) ) * - .J/ 1 CT . / 1 C. / +? 6? ? += ? , ++ < @ ,@ @ ?@ <@ @ A @ A A <@ + 6 ?= 6 6, <= < 66 < 6< ) ) * -) .J/ 1 CT . / 1 C. / +, +, 6< , 6 + ++ += 6= , 6< ?< +< A 6@ =6 6= = +< ? < <, 6A A +< , <+ ? <6 ,< !0+0 ' 1 0" @ & & S0C S00# ' & .# =/ 1 * ( ) % 1 % & CDD * * ) & ( & & 4 * *

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