Physical Properties of Crystals: Their Representation by Tensors and Matrices |
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Page 94
... displacement with distance and is a dimensionless quantity . Clearly , with this definition , the position of the origin is immaterial . For a homogeneous strain , e is constant and equation ( 1 ) integrates to u = uo + ex , where u is ...
... displacement with distance and is a dimensionless quantity . Clearly , with this definition , the position of the origin is immaterial . For a homogeneous strain , e is constant and equation ( 1 ) integrates to u = uo + ex , where u is ...
Page 98
... displacement of the point at the origin . † ( 6 ) If a curve f ( x1 , x2 ) = 0 is drawn on the sheet before deformation , it becomes f ( x1 , x2 ) = 0 after deformation , where x ' ; = x¿ + Ui = This is a linear substitution and it ...
... displacement of the point at the origin . † ( 6 ) If a curve f ( x1 , x2 ) = 0 is drawn on the sheet before deformation , it becomes f ( x1 , x2 ) = 0 after deformation , where x ' ; = x¿ + Ui = This is a linear substitution and it ...
Page 99
... displacement of the point at the origin . Splitting eŋj into two parts , we then have U i μ¿ = ( Uo ) i + w¿jXj + € ¿ jXj • ( 10 ) It is convenient when visualizing strain to separate the part of the displacement that is due to a rigid ...
... displacement of the point at the origin . Splitting eŋj into two parts , we then have U i μ¿ = ( Uo ) i + w¿jXj + € ¿ jXj • ( 10 ) It is convenient when visualizing strain to separate the part of the displacement that is due to a rigid ...
Contents
THE GROUNDWORK OF CRYSTAL PHYSICS | 3 |
3 | 29 |
EQUILIBRIUM PROPERTIES | 51 |
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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