Physical Properties of Crystals: Their Representation by Tensors and Matrices |
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Page 83
... tion we have adopted it will be seen that a positive value of 011 , 22 or 033 implies a corresponding tensile stress ; a negative value implies a compressive stress . This is the definition normally found in modern textbooks on ...
... tion we have adopted it will be seen that a positive value of 011 , 22 or 033 implies a corresponding tensile stress ; a negative value implies a compressive stress . This is the definition normally found in modern textbooks on ...
Page 201
... tion whereby the solution to any steady heat flow problem in a crystal can be derived from a corresponding solution in an isotropic medium . Let us transform equation ( 12 ) by the equations X1 ( k1 ką ką ) - * k X1 , X2 x2 = ( k1 k2 kз ) ...
... tion whereby the solution to any steady heat flow problem in a crystal can be derived from a corresponding solution in an isotropic medium . Let us transform equation ( 12 ) by the equations X1 ( k1 ką ką ) - * k X1 , X2 x2 = ( k1 k2 kз ) ...
Page 219
... tion to anisotropic media that has to be made later . 2.1 . Formulation of the flow equations . We start with the follow- ing fundamental equations connecting fluxes with forces : je = —a gradμ - 8 grad T h = -ẞgradμ - y Τ grad T T ( 15 ) ...
... tion to anisotropic media that has to be made later . 2.1 . Formulation of the flow equations . We start with the follow- ing fundamental equations connecting fluxes with forces : je = —a gradμ - 8 grad T h = -ẞgradμ - y Τ grad T T ( 15 ) ...
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