Nonlinear Elastic and Inelastic Models for Shock Compression of Crystalline Solids

  • John D.¬†Clayton

Part of the Shock Wave and High Pressure Phenomena book series (SHOCKWAVE)

Table of contents

  1. Front Matter
    Pages i-xi
  2. John D. Clayton
    Pages 1-12
  3. John D. Clayton
    Pages 13-49
  4. Part I

    1. Front Matter
      Pages 51-52
    2. John D. Clayton
      Pages 53-71
    3. John D. Clayton
      Pages 73-98
    4. John D. Clayton
      Pages 99-115
    5. John D. Clayton
      Pages 117-132
  5. Part II

    1. Front Matter
      Pages 133-134
    2. John D. Clayton
      Pages 135-193
    3. John D. Clayton
      Pages 195-274
    4. John D. Clayton
      Pages 275-327
    5. John D. Clayton
      Pages 329-381
  6. Part III

    1. Front Matter
      Pages 383-384
  7. Back Matter
    Pages 453-483

About this book


This book describes thermoelastic and inelastic deformation processes in crystalline solids undergoing loading by shock compression. Constitutive models with a basis in geometrically nonlinear continuum mechanics supply these descriptions. Large deformations such as finite strains and rotations, are addressed. The book covers dominant mechanisms of nonlinear thermoelasticity, dislocation plasticity, deformation twinning, fracture, flow, and other structure changes. Rigorous derivations of theoretical results are provided, with approximately 1300 numbered equations and an extensive bibliography of over 500 historical and modern references spanning from the 1920s to the present day. Case studies contain property data, as well as analytical, and numerical solutions to shock compression problems for different materials. Such materials are metals, ceramics, and minerals, single crystalline and polycrystalline.

The intended audience of this book is practicing scientists (physicists, engineers, materials scientists, and applied mathematicians) involved in advanced research on shock compression of solid materials.


nonlinear elasticity constitutive modeling phase field modeling geometrically nonlinear continuum mechanics Rankine-Hugoniot jump conditions logarithmic strain measures deformation continuum mechanics

Authors and affiliations

  • John D.¬†Clayton
    • 1
  1. 1.Impact Physics CCRL-WMP-CUnited States Army Research LaboratoryAberdeenUSA

Bibliographic information

  • DOI
  • Copyright Information This is a U.S. government work and not under copyright protection in the U.S.; foreign copyright protection may apply 2019
  • Publisher Name Springer, Cham
  • eBook Packages Physics and Astronomy Physics and Astronomy (R0)
  • Print ISBN 978-3-030-15329-8
  • Online ISBN 978-3-030-15330-4
  • Series Print ISSN 2197-9529
  • Series Online ISSN 2197-9537
  • Buy this book on publisher's site