Computational Mechanics of Composite Materials part 6 pdf

... )(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 51.10 Inf 1 56. 99 62 .70 47.14 1 56. 68 62 .61 47.03 Inf-VR 137.93 51. 86 43.03 137.54 51.71 42.92 ... Computational Mechanics of Composite Materials methods for smaller random dispersion of input variables...

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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 ... processing I. Title 62 0′.001518 ISBN 1852334274 Library of Congress Cataloging-in-Publication Data Kamin ´ ski, M. M. (Marcin M.), 1 969 – Computational mechanics of...

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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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... will essentially extend our knowledge of composites behaviour in relation to the existing models [251,384,3 86] . 68 Computational Mechanics of Composite Materials 0.019 0.021 0.023 0.025 0.027 0.029 0.031 0.033 0.035 0 ... parameters of the composite constituents are taken in examples 1 to 3 as 58 Computational Mechanics of Composite Materials 0.08 0.082 0.08...

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... sup(C) inf(C) Sup(C) inf(C) Deterministic values 163 .49 1 46. 47 75. 56 63.27 43.97 41 .60 E[C] 163 .60 1 46. 18 75.81 63 . 16 43.89 41.51 α(C) 6. 89e-2 5.76e-2 9.78e-2 8.14e-2 4.42e-2 3.95e-2 β(C) 1.79e-7 ... 43. 86 16. 64 34 .63 27.58 E[C] 113.50 71 .65 44.34 16. 61 34.58 27.52 α(C) 1.03e-2 2.48e-2 1.71e-1 2.57e-2 5.94e-2 2.46e-2 β(C) 3.23e-7 -4.13e-7 5.15e-7 -4.02e-7 -2.30e-8 -...

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... ⎥ ⎥ ⎥ ⎥ ⎦ ⎤ ⎢ ⎢ ⎢ ⎢ ⎣ ⎡ = ⎥ ⎥ ⎥ ⎥ ⎦ ⎤ ⎢ ⎢ ⎢ ⎢ ⎣ ⎡ +−− −+− −−+ = 57 .65 87000 083.157 767 . 260 17. 260 1 07. 260 183.157 767 . 260 1 07. 260 17. 260 183.157 76 000 0 0 0 µ µµµ µµµ µµµ kkk kkk kkk C el while the inelastic part of the effective constitutive ... -1 : εσ= inel C =→ inel C ⎥ ⎥ ⎥ ⎥ ⎦ ⎤ ⎢ ⎢ ⎢ ⎢ ⎣ ⎡ 60 0.499000 02.50174.15 464 . 163 1 012.15 763 6. 265 344.749 00.208092.15058...

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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...

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... lengths (Θ a =6 , 10° and 14°). The uniform distribution of normal stresses σ R , especially for longer cracks (Θ a >9°), which is -7,2E+ 06 -6, 0E+ 06 -4,8E+ 06 -3,6E+ 06 -2,4E+ 06 -1,2E+ 06 0,0E+00 0,000 ... µ=0.5) 0.0E+00 2.0E-07 4.0E-07 6. 0E-07 8.0E-07 1.0E- 06 0.0 0.3 0 .6 0.7 Crack o p enin g [ mm ] 6 10° 14° Θ/Θ T Θ a 234 Computational Mechanics of Composi...

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... should be carried out. Figure 5 .66 . Tsai Hill deterministic failure surface Figure 5 .67 . Tsai Hill ‘envelope’ failure surface 2 56 Computational Mechanics of Composite Materials The boundary differential ... of the composite X=5.0 GPa, Y =6. 0 GPa, S=4.0 GPa for Tsai Hill criterion and X t =5.0 GPa, X c =5.5 GPa, Y t =6. 0 GPa, Y c =6. 6 GPa, S=4.0 GPa in the case o...

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... the basis of the results presented in Figs. 6. 6 6. 7, 6. 10 6. 11 and 6. 14 6. 15 as ));((3]);([));(( xxfsigxxfExxfEnv −= (6. 36) Let us note that (6. 36) is frequently used in the Stochastic Finite ... between Figures 6. 5 6. 8, 6. 9 6. 12 and 6. 13 6. 16, where probabilistic envelopes of these stresses are shown. These envelopes are determined for a particular x on the...

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