## Physical Properties of Crystals: Their Representation by Tensors and Matrices |

### From inside the book

Results 1-3 of 20

Page 94

their

defined as: increase in ... 2 a and b; it is the rate of change of

distance and is a dimensionless quantity. Clearly, with this definition, the position

of the ...

their

**displacements**relative to one another. The strain of the section PQ isdefined as: increase in ... 2 a and b; it is the rate of change of

**displacement**withdistance and is a dimensionless quantity. Clearly, with this definition, the position

of the ...

Page 98

Homogeneous two-dimensional strain. When the distortion is homogeneous the

e^ components are all constants and equations (3) integrate to tt< = K)i+e^ (i,j = 1

,2), (6) where («0)i is the

Homogeneous two-dimensional strain. When the distortion is homogeneous the

e^ components are all constants and equations (3) integrate to tt< = K)i+e^ (i,j = 1

,2), (6) where («0)i is the

**displacement**of the point at the origin.f If a curve f(xl, ...Page 99

In a pure rotation the

vector. Therefore, utxi = 0 (scalar product), or Since equation (7) is true for all xi,

the coefficients on the left-hand side must all be zero. Hence eti = 0, if i = j, and ea

...

In a pure rotation the

**displacement**of any point is perpendicular to its radiusvector. Therefore, utxi = 0 (scalar product), or Since equation (7) is true for all xi,

the coefficients on the left-hand side must all be zero. Hence eti = 0, if i = j, and ea

...

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

THE GROUNDWORK OF CRYSTAL PHYSICS | 3 |

EQUILIBRIUM PROPERTIES | 51 |

ELECTRIC POLARIZATION | 68 |

15 other sections not shown

### Other editions - View all

### Common terms and phrases

angle anisotropic applied axial vector centre of symmetry Chapter coefficients conductivity constant crystal classes crystal properties crystal symmetry cube cubic crystals defined denoted diad axis dielectric direction cosines displacement dummy suffix electric field ellipsoid equal equation example expression follows force given heat flow Hence hexagonal homogeneous indicatrix isothermal isotropic left-handed length longitudinal magnetic magnitude matrix notation measured moduli monoclinic number of independent Onsager's Principle optical activity orientation parallel Peltier permittivity perpendicular photoelastic effect piezoelectric effect plane plate polarization positive principal axes produced pyroelectric pyroelectric effect quantities radius vector referred refractive refractive index relation representation quadric represented right-handed rotation scalar second-rank tensor set of axes shear stress suffix notation surface susceptibility symmetry elements Table temperature gradient tensile stress thermal expansion thermodynamics thermoelectric effects Thomson heat tion transformation law trigonal uniaxial unit volume values written Young's Modulus zero