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Stress and elastic constants

Erich H. Kisi and Christopher J. Howard

in Applications of Neutron Powder Diffraction

Published in print:
2008
Published Online:
January 2009
ISBN:
9780198515944
eISBN:
9780191705663
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198515944.003.0011
Subject:
Physics, Condensed Matter Physics / Materials

This chapter highlights a different but significant application of neutron diffraction in the measurement of engineering strains. It begins by defining the stress and strain tensors, and their ... More


Hooke’s law and elastic constants

Adrian P. Sutton

in Physics of Elasticity and Crystal Defects

Published in print:
2020
Published Online:
August 2020
ISBN:
9780198860785
eISBN:
9780191893001
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198860785.003.0003
Subject:
Physics, Condensed Matter Physics / Materials, Crystallography: Physics

Hooke’s law and elastic constants are introduced. The symmetry of the elastic constant tensor follows from the symmetry of stress and strain tensors and the elastic energy density. The maximum number ... More


Testing an interatomic force model

Mike Finnis

in Interatomic Forces in Condensed Matter

Published in print:
2003
Published Online:
January 2010
ISBN:
9780198509776
eISBN:
9780191709180
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198509776.003.0005
Subject:
Physics, Atomic, Laser, and Optical Physics

This chapter gives some practical advice on how to test the quality and transferability of an interatomic force model. The calculation of crystal structure, lattice parameters, and elastic constants ... More


Coupling To The Soft Mode

M. E. LINES and A. M. GLASS

in Principles and Applications of Ferroelectrics and Related Materials

Published in print:
2001
Published Online:
February 2010
ISBN:
9780198507789
eISBN:
9780191709944
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198507789.003.0010
Subject:
Physics, Condensed Matter Physics / Materials

Near the temperature of a second-order structural phase transition, and in particular near the Curie point of a ferroelectric, anomalously strong ultrasonic absorption occurs. This chapter considers ... More


CRYSTAL LATTICES. GENERAL THEORY

R. E. Peierls

in Quantum Theory of Solids

Published in print:
2001
Published Online:
September 2007
ISBN:
9780198507819
eISBN:
9780191709913
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198507819.003.0001
Subject:
Physics, Condensed Matter Physics / Materials

This chapter presents a general theory of crystal lattices. Topics covered include adiabatic approximation, equilibrium, types of binding, atomic vibrations, properties of normal vibrations, elastic ... More


Elastic Behavior of Solids

J. B. Ketterson

in The Physics of Solids

Published in print:
2016
Published Online:
December 2016
ISBN:
9780198742906
eISBN:
9780191821523
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198742906.003.0001
Subject:
Physics, Condensed Matter Physics / Materials

This chapter analyzes the response of solids to stress. The defining property of a solid is its ability to resist shape changes in the presence of external stresses. Stress, defined as force per unit ... More


The Lekhnitskii Formalism

T. C. T. Ting

in Anisotropic Elasticity: Theory and Applications

Published in print:
1996
Published Online:
November 2020
ISBN:
9780195074475
eISBN:
9780197560280
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780195074475.003.0007
Subject:
Chemistry, Materials Chemistry

A two-dimensional deformation means that the displacements ui (i = 1,2,3) or the stresses σij depend on x1 and x2 only. Among several formalisms for two-dimensional deformations of anisotropic ... More


Binary Compound Semiconductors

Vurgaftman Igor

in Bands and Photons in III-V Semiconductor Quantum Structures

Published in print:
2020
Published Online:
January 2021
ISBN:
9780198767275
eISBN:
9780191821431
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198767275.003.0006
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

To apply the band structure models discussed in Part I (extended to structures with quantum confinement in Part III and applied to photonic devices in Part IV), a reliable set of input parameters is ... More


Constitutive Response

Sanjay Govindjee

in Engineering Mechanics of Deformable Solids: A Presentation with Exercises

Published in print:
2012
Published Online:
December 2013
ISBN:
9780199651641
eISBN:
9780191775017
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199651641.003.0005
Subject:
Physics, Condensed Matter Physics / Materials

This chapter introduces Hooke's law in three dimensions for elastic isotropic materials, and discusses Poisson's ratio, Young's modulus, the shear modulus, and the bulk modulus. It presents the ... More


Thermodynamics of stressed systems

Boris S. Bokstein, Mikhail I. Mendelev, and David J. Srolovitz

in Thermodynamics and Kinetics in Materials Science: A Short Course

Published in print:
2005
Published Online:
November 2020
ISBN:
9780198528036
eISBN:
9780191916632
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198528036.003.0009
Subject:
Chemistry, Thermochemistry and Chemical Thermodynamics

As every school child knows, the difference between a solid and a liquid is that a liquid takes the shape of the container in which it is placed while the shape of a ... More


Fundamentals Of Atomistic Simulations

Vasily Bulatov and Wei Cai

in Computer Simulations of Dislocations

Published in print:
2006
Published Online:
November 2020
ISBN:
9780198526148
eISBN:
9780191916618
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198526148.003.0006
Subject:
Computer Science, Software Engineering

Fundamentally, materials derive their properties from the interaction between their constituent atoms. These basic interactions make the atoms assemble in a particular crystalline structure. The ... More


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