Title Computational mechanics of composite materials : sensitivity, randomness, and multiscale behaviour / M.M. Kamiński

Published London : Springer, ©2005

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Description 1 online resource (xvii, 418 pages) : illustrations Series Engineering materials and processes, 1619-0181 Engineering materials and processes. 1619-0181 Contents Cover -- Acknowledgements -- Preface -- Table of Contents -- 1 Mathematical Preliminaries -- 1.1 Probability Theory Elements -- 1.2 Monte Carlo Simulation Method -- 1.3 Stochastic Second moment Perturbation Approach -- 2 Elasticity Problems -- 2.1 Composite Model. Interface Defects Concept -- 2.2 Elastostatics of Some Composites -- 2.3 Homogenisation Approach -- 2.4 Conclusions -- 2.5 Appendix -- 3 Elastoplastic Problems -- 3.1 Introduction -- 3.2 Homogenisation Method -- 3.3 Finite Element Equations of Elastoplasticity -- 3.4 Numerical Analysis -- 3.5 Some Comments on Probabilistic Effective Properties -- 3.6 Conclusions -- 3.7 Appendix -- 4 Sensitivity Analysis for Some Composites -- 4.1 Deterministic Problems -- 4.2 Probabilistic Analysis -- 4.3 Conclusions -- 5 Fracture and Fatigue Models for Composites -- 5.1 Introduction -- 5.2 Existing Techniques Overview -- 5.3 Computational Issues -- 5.4 Perturbation-based Fracture Criteria -- 5.5 Concluding Remarks -- 5.6 Appendix -- 6 Reliability Analysis -- 6.1 Introductory Remarks -- 6.2 Perturbation-based Reliability Analysis for Contact Problem -- 6.3 Stochastic Model of Degradation Process -- 7 Multiresolutional Wavelet Analysis -- 7.1 Introduction -- 7.2 Multiscale Reduction and Homogenisation -- 7.3 Multiscale Homogenisation for the Wave Propagation Equation -- 7.4 Introduction to Multiresolutional FEM Implementation -- 7.5 Free Vibrations Analysis -- 7.6 Multiscale Heat Transfer Analysis -- 7.7 Stochastic Perturbation-based Approach to Wavelet Decomposition. -- 7.8 Concluding Remarks -- Appendix -- 8.1 Procedure of MCCEFF Input File Preparation -- 8.2 Input Data for ABAQUS Concrete Plate Analysis -- 8.3 MAPLE Script for Computations of the Homogenised Heat Conductivity Coefficients -- References Summary "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."--Jacket Bibliography Includes bibliographical references (pages 393-413) and index Notes English In Springer e-books Subject Composite materials -- Mechanical properties -- Mathematical models TECHNOLOGY & ENGINEERING -- Mechanical. Composite materials -- Mechanical properties -- Mathematical models. Chimie. Science des matériaux. Composite materials -- Mechanical properties -- Mathematical models Form Electronic book LC no. 2002033327 ISBN 1852334274 9781852334277 1846280494 9781846280498 6610290881 9786610290888

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