Computational Mechanics of Composite Materials
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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: Programs for the probabilistic homogenisation of composite structures with finite numbers of components allow composites to be treated as homogeneous materials with simpler behaviours. Allows treatment of defects in the interfaces within heterogeneous materials and those arising in composite objects as a whole by stochastic modelling. Provides new models for the reliability of composite structures. 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.
1Mathematical preliminaries12Elasticity problems303Elastoplastic problems1634Sensitivity analysis for some composites1855Fracture and fatigue models for composites2226Reliability analysis2967Multiresolution wavelet analysis317App. 1Procedure of MCCEFF input file preparation382App. 2Input data for ABAQUS concrete plate analysis385App. 3MAPLE script for computations of the homogenised heat conductivity coefficients390
