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  • © 2019

Nonlinear Elastic and Inelastic Models for Shock Compression of Crystalline Solids

Authors:

  • Presents intricate models of planar shock compression for anisotropic single crystals and polycrystals
  • Addresses dominant mechanisms of nonlinear thermoelasticity, dislocation plasticity, deformation twinning, fracture, flow, and other structure changes
  • Includes rigorous derivations of theoretical results as well as case studies for different materials

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

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Table of contents (11 chapters)

  1. Front Matter

    Pages i-xi
  2. Introduction

    • John D. Clayton
    Pages 1-12
  3. Shock Physics Fundamentals

    • John D. Clayton
    Pages 13-49
  4. Part I

    1. Front Matter

      Pages 51-52
    2. Lagrangian Formulation

      • John D. Clayton
      Pages 53-71
    3. Eulerian Formulation

      • John D. Clayton
      Pages 73-98
    4. Logarithmic Formulation

      • John D. Clayton
      Pages 99-115
    5. Equations of State

      • John D. Clayton
      Pages 117-132
  5. Part II

    1. Front Matter

      Pages 133-134
    2. Dislocation Plasticity in Single Crystals

      • John D. Clayton
      Pages 135-193
    3. Shock Compression of Ductile Polycrystals

      • John D. Clayton
      Pages 195-274
    4. Deformation Twinning in Single Crystals

      • John D. Clayton
      Pages 275-327
    5. Fracture and Flow in Brittle Solids

      • 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.




Reviews

“The book is a document of tremendous scientific work for the shock-loading issue. … While this book targets shock phenomena, the reader will benefit from the description of the deformation processes taking place in the single crystal, as well as the continuum mechanics framework exposed in the large strain regime in elasticity and inelasticity, the analysis of case studies and the appraisal of different approaches.” (Ioannis Doltsinis, Mathematical Reviews, March 2, 2020)

Authors and Affiliations

  • Impact Physics CCRL-WMP-C, United States Army Research Laboratory, Aberdeen, USA

    John D. Clayton

About the author

Dr. John D. Clayton has over fifteen years of experience with advanced constitutive modeling and numerical simulation of crystalline solids subjected to dynamic and high-pressure loading.  He has worked as a research scientist and team leader in the Impact Physics Branch of the U.S. Army Research Laboratory in Aberdeen, Maryland since 2003.  He has served on the teaching faculty at the University of Maryland, College Park since 2015.  Dr. Clayton earned a Ph.D. from the Georgia Institute of Technology in 2002 and was a visiting scientist at the Courant Institute of Mathematical Sciences and at Columbia University in 2016.  He is an elected fellow of both the U.S. Army Research Laboratory and the American Society of Mechanical Engineers.

Bibliographic Information

Buy it now

Buying options

eBook USD 139.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 179.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 179.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access