Computational Mechanics of Composite Materials part 5 ppt

... 130.33 80. 95 52.63 45. 27 38. 85 E[C] 171.88 129.97 81.43 52 .46 45. 23 38.76 α(C) 6.78e-2 4.72e-2 9.29e-2 6.60e-2 4 .54 e-2 3.45e-2 β(C) 3.23e-7 -2 .51 e-7 5. 15e-7 -1.75e-7 -2.30e-8 -2 .50 e-7 γ(C) 3.26 ... number of random trials as N =5, 10, 25, 50 , 100, 250 , 50 0, 1000, 250 0, 50 00 and 10000, respectively. Only the probabilistic parameters of )( )( 1111 ω eff C are...

Ngày tải lên: 10/08/2014, 11:22

... the end of the appendix. The basic rules are based on the numbers of cycles to failure ((A5. 45) (A5.48), (A5 .54 ) (A5 .57 ), (A5.63) (A5. 65) and (A5.67)) illustrated with 238 Computational Mechanics ... theory in terms of elastic (A5.8) (A5.20), (A5.26) (A5.30), (A5.32) (A5.34) or elastoplastic (A5.22) (A5. 25) and (A5.31) mechanism of material fracture. Most of them are...

Ngày tải lên: 10/08/2014, 11:22

... Analysis of Composites 293 () α tt SSD ′ −= (A5 .52 ) 8. Marin model: CNS k = (A5 .53 ) 9. Manson model: for crack initiation: I N n D = (A5 .54 ) for crack propagation: P N n D = (A5 .55 ) 10. ... 288 Computational Mechanics of Composite Materials 22 4 3 Icsy K K σ α ∆ 4. Cherepanov (energy approach) 23 4 4 Icsy K EK σ α ∆ (A5.11) 5. Rice (crack opening displacem...

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... unbiased estimator 15, 3 15 unidirectional composite 70,84,191 variations 1 variance 6 variance, cut-off Gaussian variable 13 412 Computational Mechanics of Composite Materials 358 . Wang W, Jasiuk ... 455 :2687-2706. 253 . Milton GW (2002) The Theory of Composites. Cambridge University Press 254 . Mischke CR (1986) Probabilistic views of the Palmgren-Miner dama...

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... then M.M. Kamin ´ ski Computational Mechanics of Composite Materials Sensitivity, Randomness and Multiscale Behaviour viii Computational Mechanics of Composite Materials and mechanics, numerical ... random character of the material and physical parameters should play an essential role in multi component structures [32,34, 151 , 154 ,2 75] . Modern computational me...

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... analogous nth order partial derivatives of external excitation, accelerations, velocities as well as displacements of the system. 32 Computational Mechanics of Composite Materials composite Y. In ... expected value of probabilistically averaged )( )( ω pav Y on Ω can be derived as 18 Computational Mechanics of Composite Materials Using the proposed estimators...

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... shear test (I) 0.0 45 0.0 65 0.0 85 0.1 05 0.1 25 0.1 45 0.1 65 5 4.38 3. 75 3.13 2.63 2 .5 test-s test 5 test 6 test 7 test 8 α (u h ) h Figure 2.37. Coefficients of variation of horizontal displacements ... )( 1 e α )( 2 e α 1 0.10 0.10 2 0.10 0. 05 3 0. 05 0.10 4 0. 05 0. 05 46 Computational Mechanics of Composite Materials 0 0. 05 0.1 0. 15 0....

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... Table 2.21. The coefficient of variation of the input random variables Test number () 1 e α () 2 e α 1 0. 050 0. 050 2 0.0 75 0.0 75 3 0.100 0.100 4 0.1 25 0.1 25 5 0. 150 0. 150 The cross-sectional ... )(eff JJJJ C )(eff JKKJ C )(eff JKJK C )(eff JJJJ C )(eff JKKJ C )(eff JKJK C sup-VR 189 .56 81.83 53 .86 189.94 82.30 53 .82 Sup 178.44 76.07 51 .18 178 .57 76.37 51 .1...

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... -1 : εσ= inel C =→ inel C ⎥ ⎥ ⎥ ⎥ ⎦ ⎤ ⎢ ⎢ ⎢ ⎢ ⎣ ⎡ 600.499000 02 .50 174. 154 64.1631 012. 157 636.2 653 44.749 00.208092. 150 588.3393 , 174 Computational Mechanics of Composite Materials y 2 u 2 =E 22 y 2 y 1 Figure 3.4. ... increments of transformation matrices during the loading process. Figure 3 .5. Constitutive σ 11 -ε 11 relation for homogenised and real composites 18...

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... based 218 Computational Mechanics of Composite Materials the next Young modulus of the fibre are detected as the most decisive design material parameters of this composite in the view of its homogenised ... Sensitivity of )eff( C 1133 wrt 2 ν Figure 4.30. Sensitivity of )eff( C 1122 wrt e 1 Figure 4.31. Sensitivity of )eff( C 1122 wrt 1 ν 214 Computational Me...

Ngày tải lên: 10/08/2014, 11:22