Mechanics of Random and Multiscale Microstructures

  • Dominique Jeulin
  • Martin Ostoja-Starzewski

Part of the International Centre for Mechanical Sciences book series (CISM, volume 430)

Table of contents

About this book

Introduction

This book reviews recent theoretical, computational and experimental developments in mechanics of random and multiscale solid materials. The aim is to provide tools for better understanding and prediction of the effects of stochastic (non-periodic) microstructures on materials’ mesoscopic and macroscopic properties. Particular topics involve a review of experimental techniques for the microstructure description, a survey of key methods of probability theory applied to the description and representation of microstructures by random modes, static and dynamic elasticity and non-linear problems in random media via variational principles, stochastic wave propagation, Monte Carlo simulation of random continuous and discrete media, fracture statistics models, and computational micromechanics.

Keywords

fracture statistics mechanics of composites models of random media numerical simulations stochastic micromechanics wave propagation in random media continuum mechanics elasticity fatigue material materials mechanics metallic materials metals micromechanics microstructures probability theory simulation statistics stochastics structures

Editors and affiliations

  • Dominique Jeulin
    • 1
  • Martin Ostoja-Starzewski
    • 2
  1. 1.Ecole des Mines de ParisFrance
  2. 2.McGill UniversityCanada

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-7091-2780-3
  • Copyright Information CISM Udine 2001
  • Publisher Name Springer, Vienna
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-211-83684-2
  • Online ISBN 978-3-7091-2780-3
  • Series Print ISSN 0254-1971
  • Series Online ISSN 2309-3706
  • About this book
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