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Asymptotical Mechanics of Composites

Modelling Composites without FEM

  • Igor V. Andrianov
  • Jan Awrejcewicz
  • Vladyslav V. Danishevskyy

Part of the Advanced Structured Materials book series (STRUCTMAT, volume 77)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Igor V. Andrianov, Jan Awrejcewicz, Vladyslav V. Danishevskyy
    Pages 1-19
  3. Igor V. Andrianov, Jan Awrejcewicz, Vladyslav V. Danishevskyy
    Pages 21-67
  4. Igor V. Andrianov, Jan Awrejcewicz, Vladyslav V. Danishevskyy
    Pages 69-99
  5. Igor V. Andrianov, Jan Awrejcewicz, Vladyslav V. Danishevskyy
    Pages 101-121
  6. Igor V. Andrianov, Jan Awrejcewicz, Vladyslav V. Danishevskyy
    Pages 123-165
  7. Igor V. Andrianov, Jan Awrejcewicz, Vladyslav V. Danishevskyy
    Pages 167-241
  8. Igor V. Andrianov, Jan Awrejcewicz, Vladyslav V. Danishevskyy
    Pages 243-286
  9. Igor V. Andrianov, Jan Awrejcewicz, Vladyslav V. Danishevskyy
    Pages 287-307
  10. Igor V. Andrianov, Jan Awrejcewicz, Vladyslav V. Danishevskyy
    Pages 309-313
  11. Back Matter
    Pages 315-329

About this book

Introduction

In this book the authors show that it is possible to construct efficient computationally oriented models of multi-parameter complex systems by using asymptotic methods, which can, owing to their simplicity, be directly used for controlling processes arising in connection with composite material systems.

 The book focuses on this asymptotic-modeling-based approach because it allows us to define the most important out of numerous parameters describing the system, or, in other words, the asymptotic methods allow us to estimate the sensitivity of the system parameters.

 Further, the book addresses the construction of nonlocal and higher-order homogenized models. Local fields on the micro-level and the influence of so-called non-ideal contact between the matrix and inclusions are modeled and investigated.

The book then studies composites with non-regular structure and cluster type composite conductivity, and analyzes edge effects in fiber composite mater

ials. Transition of load from a fiber to a matrix for elastic and viscoelastic composites, various types of fiber composite fractures, and buckling of fibers in fiber-reinforced composites is also investigated. Last but not least, the book includes studies on perforated membranes, plates, and shells, as well as the asymptotic modeling of imperfect nonlinear interfaces.

Keywords

micromechanical analysis asymptotic methods cluster type composite conductivity fiber composite edge effect composites transport properties fiber composite fracture viscoelastic composites asymptotical theories of composite materials

Authors and affiliations

  • Igor V. Andrianov
    • 1
  • Jan Awrejcewicz
    • 2
  • Vladyslav V. Danishevskyy
    • 3
  1. 1.Institut für Allgemeine MechanikRWTH Aachen UniversityAachenGermany
  2. 2.Automation, Biomechanics and MechatronicsLodz University of TechnologyŁódźPoland
  3. 3.School of Computing and MathematicsKeele UniversityKeeleUnited Kingdom

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-65786-8
  • Copyright Information Springer International Publishing AG 2018
  • Publisher Name Springer, Cham
  • eBook Packages Engineering
  • Print ISBN 978-3-319-65785-1
  • Online ISBN 978-3-319-65786-8
  • Series Print ISSN 1869-8433
  • Series Online ISSN 1869-8441
  • Buy this book on publisher's site