Overview
- Appendices and tables present key information such as material coefficients for crystal classes
- Extensive up-to-date bibliography (1901-2010)
- Self-contained background on kinematics and thermomechanics
- Includes supplementary material: sn.pub/extras
Part of the book series: Solid Mechanics and Its Applications (SMIA, volume 177)
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Table of contents (10 chapters)
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Front Matter
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Back Matter
Keywords
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)Authors and Affiliations
Bibliographic Information
Book Title: Nonlinear Mechanics of Crystals
Authors: John D. Clayton
Series Title: Solid Mechanics and Its Applications
DOI: https://doi.org/10.1007/978-94-007-0350-6
Publisher: Springer Dordrecht
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer Science+Business Media B.V. 2011
Hardcover ISBN: 978-94-007-0349-0Published: 30 November 2010
Softcover ISBN: 978-94-007-3425-8Published: 02 January 2013
eBook ISBN: 978-94-007-0350-6Published: 01 November 2010
Series ISSN: 0925-0042
Series E-ISSN: 2214-7764
Edition Number: 1
Number of Pages: XIII, 700
Topics: Solid Mechanics, Characterization and Evaluation of Materials, Crystallography and Scattering Methods