Computational study of EM properties of composite materials

... Some Composites 18 5 4 .1 Deterministic Problems 18 5 4 .1. 1 Sensitivity Analysis Methods 18 8 4 .1. 2 Sensitivity of Homogenised Heat Conductivity 19 1 4 .1. 3 Sensitivity of Homogenised ... applications of the MCS technique in engineering of composite materials are: (a) fatigue and/or failure modeling [10 ,243], (b) modeling of random material properties [73 ,17 1 ,17 4...

Ngày tải lên: 10/08/2014, 11:22

... side (2. 13) 34 Computational Mechanics of Composite Materials There holds Aijkl ( x) = δ ij δ kl ν ( x) (1 + ν ( x) )(1 − 2 ( x) ) ( + δ ik δ jl + δ il δ jk ) 2( 1 +1 (x)) ν (2. 14) i,j,k,l=1 ,2 General ... stochastic processes The phenomenon of random, both interface [5 ,27 ,131 ,20 0, 22 5 ,24 2] and volumetric [74,316,3 42, 353,388], non-homogeneities occur mainly in the...

Ngày tải lên: 10/08/2014, 11:22

... 0.0 237 0.0 235 0.0 233 1.047 1.0 53 1.057 1.062 0.0 239 0.0 238 0.0 234 0.0 232 18 0.985 0.9 93 0.994 1.0 03 0.0 236 0.0 234 0.0 231 0.0 230 27 0.895 0.897 0.908 0.910 0.0 239 0.0 235 0.0 234 0.0 231 36 0.7 83 0.784 ... +1.22E+ 03 +1.78E+ 03 +2 .35 E+ 03 +2.91E+ 03 +3. 19E+ 03 +3. 47E+ 03 Figure 2.19 The shear stresses for test no Elasticity problems 53 -1.45E+02 +1 .37 E+02 +7.0...

Ngày tải lên: 10/08/2014, 11:22

... 80. 95 52.63 45. 27 38. 85 E[C] 171.88 129.97 81.43 52 .46 45. 23 38.76 6.78e-2 4.72e-2 9.29e-2 6.60e-2 4 .54 e-2 3.45e-2 α(C) 3.23e-7 -2 .51 e-7 5. 15e-7 -1.75e-7 -2.30e-8 -2 .50 e-7 β(C) 3.26 3.17 3 .54 ... values 94.84 2 .55 41.27 1.23e-2 26.79 E[C] 95. 23 2 .55 41.74 1.23e-2 26.74 1.22e-1 9.72e-4 1.81e-1 3 .55 e-2 7.67e-2 α(C) 3.23e-7 -5. 80e-7 5. 15e-7 5. 79e-7 -2.30e-8 β(C) 3.26 3...

Ngày tải lên: 10/08/2014, 11:22

... JKKJ (eff ) C JKJK 189. 56 178.44 1 56. 99 137.93 sup-VR Sup Inf Inf-VR (eff ) C JKKJ 81.83 76. 07 62 .70 51. 86 53. 86 51.18 47.14 43.03 189.94 178.57 1 56. 68 137.54 82.30 76. 37 62 .61 51.71 53.82 51.10 ... the results of both these - 1 46 Computational Mechanics of Composite Materials methods for smaller random dispersion of input variables, the stochastic second order...

Ngày tải lên: 10/08/2014, 11:22

... relation (3 .70 ) and therefore ⎡k + µ k − µ k − µ ⎢k − µ k + µ k − µ C el = ⎢ ⎢k − µ k − µ k + µ ⎢ 0 ⎣ 0 ⎤ ⎡1 577 6.83 2601 .7 2601 .7 ⎤ ⎥ ⎢ 2601 .7 1 577 6.83 2601 .7 0⎥ ⎢ ⎥ ⎥ = ⎥ ⎢ 2601 .7 2601 .7 1 577 6.83 ... analogously to the linear 172 Computational Mechanics of Composite Materials elasticity homogenisation method, the approximation of the effective yield limit stre...

Ngày tải lên: 10/08/2014, 11:22

... Poisson ratio of a matrix and - 2 18 Computational Mechanics of Composite Materials the next Young modulus of the fibre are detected as the most decisive design material parameters of this composite ... Sensitivity of C1122) wrt e1 Cd 2ed/2211 69.0 49.0 29.0 9.0 88 .0 )3-(O 68. 0 )2-(O 48. 0 )1-(O 28. 0 8. 0 ( eff ) Figure 4.46 Sensitivity of C1122 wrt e2 2e ∆ Sensiti...

Ngày tải lên: 10/08/2014, 11:22

... described in terms of the fatigue cycle number and then homogenised cycle by cycle for the needs of computational simulation of the composite 238 Computational Mechanics of Composite Materials 5.3.1 ... range Θa [deg] Figure 5 .9 Crack tip mesh 244 Computational Mechanics of Composite Materials The propagation of a crack is modelled computationally by the ch...

Ngày tải lên: 10/08/2014, 11:22

... 0.28 70 102 0 - 258 Computational Mechanics of Composite Materials Supposing that the shear mode of failure is dominating in the problem, several different failure modes may occur in composite ... 256 Computational Mechanics of Composite Materials The boundary differential equation system, which describes fatigue defect propagation along the adhesive layer of a com...

Ngày tải lên: 10/08/2014, 11:22

... n (A5.44) (A5.45) 292 Computational Mechanics of Composite Materials Fatigue damage function based model calculation of dD : dN - Palmgren Miner model [299]: - D= number of fatigue cycle, N - ... ∆K th ] ⎡1 + ∆K ⎤ ⎢ ⎥ Eσ Y ⎣ K IC − K max ⎦ (A5.31) 290 Computational Mechanics of Composite Materials where σY denotes the yield stresses of the specimen, A is an environme...

Ngày tải lên: 10/08/2014, 11:22

... wavelet signal transform 318 Computational Mechanics of Composite Mater ials The homogenisation method is still the most efficient way of computational modelling of composite systems Usually it ... contributions of various scales to the macroscale elastic characteristic of the entire composite structure 320 Computational Mechanics of Composite Mater ials Figure...

Ngày tải lên: 10/08/2014, 11:22

... (7.103) 354 Computational Mechanics of Composite Mater ials On the other hand, the reduction algorithm between multiple scales of the ( eff ) ( eff ) composite consists in the determination of such ... interpretation of homogenised characteristics) 358 Computational Mechanics of Composite Mater ials Figure 7.32 Parameter variability of k(av) Figure 7.33 Parameter va...

Ngày tải lên: 10/08/2014, 11:22

... 3:1-28 394 Computational Mechanics of Composite Materials 19 Barbero E, Fernandez-Saez J, Navarro C, (2000) Statistical analysis of the mechanical properties of composite materials Comp Part B: ... fiber composites J Mech Phys Solids 50:2509-2537 400 Computational Mechanics of Composite Materials 132 Hasofer AM, Ditlevsen O, Tarp-Johansen NJ, Positive random fi...

Ngày tải lên: 10/08/2014, 11:22

... estimator 15, 315 unidirectional composite 70,84,191 variations variance variance, cut-off Gaussian variable 13 418 Computational Mechanics of Composite Materials variance estimator 16, 315 variance ... properties of unidirectional plant fibre composites – an evaluation of the influence of porosity Comp Sci Techn 63:1265-1272 246 Mao H, Mahadevan S, (2002) Fatigue damage...

Ngày tải lên: 10/08/2014, 11:22

... Applications of Composite Materials 1.2.2 Synthesis of Composite Materials 1.2.3 Measurement of Composite Materials 1.2.4 Analysis of Composite Materials ... development of composite materials The modeling of electromagnetic (EM) properties of the composite materials is widely carried out by many researchers [5—7] The accurate modeling of composite...

Ngày tải lên: 14/09/2015, 22:01