Micromechanics of Composite Materials

  • George Dvorak

Part of the Solid Mechanics and Its Applications book series (SMIA, volume 186)

Table of contents

  1. Front Matter
    Pages i-xvii
  2. George J. Dvorak
    Pages 1-9
  3. George J. Dvorak
    Pages 11-34
  4. George J. Dvorak
    Pages 35-77
  5. George J. Dvorak
    Pages 79-124
  6. George J. Dvorak
    Pages 221-257
  7. George J. Dvorak
    Pages 259-286
  8. George J. Dvorak
    Pages 287-335
  9. George J. Dvorak
    Pages 337-358
  10. George J. Dvorak
    Pages 359-407
  11. Back Matter
    Pages 409-442

About this book


This book presents a broad exposition of analytical and numerical methods for modeling composite materials, laminates, polycrystals and other heterogeneous solids, with emphasis on connections between material properties and responses on several length scales, ranging from the nano and microscales to the macroscale.

Many new results and methods developed by the author are incorporated into a rich fabric of the subject, which has been explored by several researchers over the last 40 years.   The first  part of the book reviews anisotropic elasticity theory, and then it describes the frequently used procedures and theorems for bounding and estimating overall properties, local fields and energy changes in elastic inhomogeneities, heterogeneous media, fiber composites and functionally graded materials.  Those are caused by mechanical loads and by phase eigenstrains, such as thermal, transformation and inelastic strains, and also by cavities and cracks.    Worked examples show that the eigendeformations may contribute a major part of the overall response and of interior stress and strain fields in the constituents.   Separate attention is given to perfect and imperfect interfaces, and to evaluation of interface stresses induced by mechanical and transformation loads.  Micromechanical methods are extended to analysis of symmetric laminates.  Applications include design of laminate configurations for pressure vessels, for dimensionally stable and auxetic laminates, for laminates with reduced free edge stresses and with fiber prestress, and for those sustaining damage by transverse cracking and fiber breaks.   A review of the incremental theory of plasticity, of the transformation field analysis method, and of modeling and experimental results for metal matrix composites, are extensively described in the closing chapters.

This volume is intended for advanced undergraduate and graduate students, researchers and engineers interested and involved in analysis and design of composite structures. 


composite materials heterogeneous solids metal matrix composites solid mechanics transformation strains

Authors and affiliations

  • George Dvorak
    • 1
  1. 1.Mechanical, Aeronautical & Nuclear Eng.Rensselaer Polytechnic InstituteTroyUSA

Bibliographic information

  • DOI
  • Copyright Information Springer Science+Business Media B.V. 2013
  • Publisher Name Springer, Dordrecht
  • eBook Packages Engineering Engineering (R0)
  • Print ISBN 978-94-007-4100-3
  • Online ISBN 978-94-007-4101-0
  • Series Print ISSN 0925-0042
  • Series Online ISSN 2214-7764
  • Buy this book on publisher's site