Computational Mechanics of Composite Materials: Sensitivity, Randomness and Multiscale BehaviourSpringer Science & Business Media, 2005 - 418 Seiten Composite materials play a vital role in modern engineering from aerospace to nuclear devices. Computational mechanics endeavours to provide precise numerical models of composites. More recently, it has been necessary to take account of the stochastic nature of their behaviour indicated by experiment. The approach of Computational Mechanics of Composite Materials lays stress on the advantages of combining theoretical advancements in applied mathematics and mechanics with the probabilistic approach to experimental data in meeting the practical needs of engineers.
Features:
Propounds novel numerical algorithms for more effective Monte-Carlo simulation. Computational Mechanics of Composite Materials will be of interest to academic and practising civil, mechanical, electronic and aerospatial engineers, to materials scientists and to applied mathematicians requiring accurate and usable models of the behaviour of composite materials. The Engineering Materials and Processes series focuses on all forms of materials and the processes used to synthesise and formulate them as they relate to the various engineering disciplines. The series deals with a diverse range of materials: ceramics; metals (ferrous and non-ferrous); semiconductors; composites, polymers biomimetics etc. Each monograph in the series will be written by a specialist and will demonstrate how enhancements in materials and the processes associated with them can improve performance in the field of engineering in which they are used. |
Inhalt
Mathematical Preliminaries | 1 |
112 Gaussian and QuasiGaussian Random Variables | 7 |
12 Monte Carlo Simulation Method | 14 |
13 Stochastic Second Moment Perturbation Approach | 19 |
132 Elastodynamics with Random Parameters | 23 |
Elasticity Problems | 30 |
21 Composite Model Interface Defects Concept | 31 |
22 Elastostatics of Some Composites | 48 |
413 Sensitivity of Homogenised Young Modulus for Periodic Composite Bars | 195 |
414 Material Sensitivity of Unidirectional Periodic Composites | 200 |
415 Sensitivity of Homogenised Properties for FibreReinforced Periodic Composites | 206 |
42 Probabilistic Analysis | 218 |
43 Conclusions | 220 |
Fracture and Fatigue Models for Composites | 222 |
52 Existing Techniques Overview | 224 |
53 Computational Issues | 233 |
221 Deterministic Computational Analysis | 49 |
222 Random Composite without Interface Defects | 54 |
223 Fibrereinforced Composite with Stochastic interface Defects | 60 |
224 Stochastic Interface Defects in Laminated Composite | 63 |
225 Superconducting Coil Cable Probabilistic Analysis | 66 |
23 Homogenisation Approach | 70 |
232 2D and 3D Composites with Uniaxially Distributed Inclusions | 84 |
233 FibreReinforced Composites | 88 |
2332 Asymptotic Homogenisation Method | 94 |
23322 Monte Carlo Simulation Analysis | 115 |
23223 Stochastic Perturbation Approach to the Homogenisation | 134 |
234 Upper and Lower Bounds for Effective Characteristics | 146 |
235 Effective Constitutive Relations for the Steel Reinforced Concrete Plates | 155 |
24 Conclusions | 158 |
25 Appendix | 159 |
Elastoplastic Problems | 163 |
33 Finite Element Equations of Elastoplasticity | 167 |
34 Numerical Analysis | 170 |
35 Some Comments on Probabilistic Effective Properties | 180 |
36 Conclusions | 181 |
37 Appendix | 182 |
Sensitivity Analysis for Some Composites | 185 |
411 Sensitivity Analysis Methods | 188 |
412 Sensitivity of Homogenised Heat Conductivity | 191 |
531 Delamination of TwoComponent Curved Laminates | 238 |
532 Fatigue Analysis of a Composite Pipe Joint | 254 |
533 Thermomechanical Fatigue of Curved Composite Beams | 265 |
54 Perturbationbased Fracture Criteria | 279 |
55 Concluding Remarks | 285 |
56 Appendix | 286 |
Reliability Analysis | 296 |
62 Perturbationbased Reliability for Contact Problem | 299 |
63 Stochastic Model of Degradation Process | 314 |
Multiresolutional Wavelet Analysis | 317 |
72 Multiscale Reduction and Homogenisation | 325 |
73 Multiscale Homogenisation for the Wave Propagation Equation | 335 |
74 Introduction to Multiresolutional FEM Implementation | 340 |
75 Free Vibrations Analysis | 345 |
76 Multiscale Heat Transfer Analysis | 353 |
77 Stochastic Perturbationbased Approach to the Wavelet Decomposition | 368 |
78 Concluding Remarks | 379 |
Appendix | 382 |
82 Input Data for ABAQUS Reinforced Concrete Plate Analysis | 385 |
83 MAPLE Script for Computations of the Homogenised Heat Conductivity Coefficients | 390 |
References | 393 |
415 | |
Andere Ausgaben - Alle anzeigen
Computational Mechanics of Composite Materials: Sensitivity, Randomness and ... Marcin Marek Kaminski Eingeschränkte Leseprobe - 2006 |
Computational Mechanics of Composite Materials: Sensitivity, Randomness and ... Marcin Marek Kaminski Keine Leseprobe verfügbar - 2010 |