Solid Mechanics and Its Applications

Nonlinear Mechanics of Crystals

Authors: Clayton, John D.

  • Features appendices and tables that present key information such as material coefficients for crystal classes
  • Includes an extensive up-to-date bibliography (1901-2010)
  • Offers a self-contained background on kinematics and thermomechanics
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  • ISBN 978-94-007-0350-6
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Hardcover $279.99
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  • ISBN 978-94-007-3425-8
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About this book

This book describes behavior of crystalline solids primarily via methods of modern continuum mechanics. Emphasis is given to geometrically nonlinear descriptions, i.e., finite deformations.

Primary topics include anisotropic crystal elasticity, plasticity, and methods for representing effects of defects in the solid on the material's mechanical response. Defects include crystal dislocations, point defects, twins, voids or pores, and micro-cracks. Thermoelastic, dielectric, and piezoelectric behaviors are addressed. Traditional and higher-order gradient theories of mechanical behavior of crystalline solids are discussed. Differential-geometric representations of kinematics of finite deformations and lattice defect distributions are presented. Multi-scale modeling concepts are described in the context of elastic and plastic material behavior. Representative substances towards which modeling techniques may be applied are single- and poly- crystalline metals and alloys, ceramics, and minerals.

This book is intended for use by scientists and engineers involved in advanced constitutive modeling of nonlinear mechanical behavior of solid crystalline materials. Knowledge of fundamentals of continuum mechanics and tensor calculus is a prerequisite for accessing much of the text. This book could be used as supplemental material for graduate courses on continuum mechanics, elasticity, plasticity, micromechanics, or dislocation mechanics, for students in various disciplines of engineering, materials science, applied mathematics, and condensed matter physics.

Reviews

From the reviews:

“The book is a mathematical introduction to the thermodynamics of nonlinear mechanics of crystals and generally to continuum mechanics. … The book ends with references which are very large … . The book seems to be a very good work on the subject, and can be recommended to all those interested in the mechanics of crystals.” (N. D. Cristescu, Zentralblatt MATH, Vol. 1209, 2011)

Table of contents (10 chapters)

Buy this book

eBook $219.00
price for USA (gross)
  • ISBN 978-94-007-0350-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $279.99
price for USA
  • ISBN 978-94-007-0349-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $279.99
price for USA
  • ISBN 978-94-007-3425-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the eBook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Nonlinear Mechanics of Crystals
Authors
Series Title
Solid Mechanics and Its Applications
Series Volume
177
Copyright
2011
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media B.V.
eBook ISBN
978-94-007-0350-6
DOI
10.1007/978-94-007-0350-6
Hardcover ISBN
978-94-007-0349-0
Softcover ISBN
978-94-007-3425-8
Series ISSN
0925-0042
Edition Number
1
Number of Pages
XIII, 700
Topics