Physical Properties of Crystals: Their Representation by Tensors and Matrices |
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Page 102
Their Representation by Tensors and Matrices John Frederick Nye. distinguished from the strain quadric . Since the principal strains € 1 , € 2 , € 3 can be either positive or negative , the strain quadric , € 1x } + € 2x2 + € 3x3 = 1 ...
Their Representation by Tensors and Matrices John Frederick Nye. distinguished from the strain quadric . Since the principal strains € 1 , € 2 , € 3 can be either positive or negative , the strain quadric , € 1x } + € 2x2 + € 3x3 = 1 ...
Page 104
... strain directions may then be defined for each point ; they will , in general , be different for every point of the body . In the same way the strain at ... strains assumed to be 104 CH . VI EQUILIBRIUM PROPERTIES Strain and crystal symmetry.
... strain directions may then be defined for each point ; they will , in general , be different for every point of the body . In the same way the strain at ... strains assumed to be 104 CH . VI EQUILIBRIUM PROPERTIES Strain and crystal symmetry.
Page 105
... strains ; they are the extensions that elements of unit length drawn originally parallel to Оx1 , 0x2 , 0x3 , respectively , undergo during the strain . € 23 , € 31 , € 12 are the tensor shear strains ; 2 € 23 equals the change in angle ...
... strains ; they are the extensions that elements of unit length drawn originally parallel to Оx1 , 0x2 , 0x3 , respectively , undergo during the strain . € 23 , € 31 , € 12 are the tensor shear strains ; 2 € 23 equals the change in angle ...
Contents
THE GROUNDWORK OF CRYSTAL PHYSICS | 3 |
3 | 29 |
EQUILIBRIUM PROPERTIES | 51 |
23 other sections not shown
Common terms and phrases
angle anisotropic applied axial B₁ biaxial birefringence centre of symmetry Chapter coefficients components conductivity constant crystal classes crystal properties crystal symmetry cube cubic crystals D₁ defined denoted diad axis dielectric dijk direction cosines displacement electric field ellipsoid equal equation example expression follows forces given grad H₁ H₂ heat flow Hence hexagonal indicatrix isothermal isotropic k₁ magnetic magnitude matrix notation measured moduli monoclinic number of independent Onsager's Principle optic axis optical activity orientation orthorhombic Ox₁ P₁ parallel Peltier permittivity perpendicular photoelastic photoelastic effect piezoelectric effect plane plate polarization positive principal axes produced pyroelectric effect quadric radius vector referred refractive index relation representation quadric represents right-handed rotation S₁ scalar second-rank tensor shear shown strain stress symmetry elements Table temperature gradient thermal expansion thermodynamics thermoelectric effects Thomson heat tion transformation law triclinic trigonal uniaxial values wave normal x₁ zero әт