Physical Properties of Crystals: Their Representation by Tensors and Matrices |
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Page 83
... cube upon the material inside the cube . The force transmitted across each face may be resolved into three components . Consider first the three faces which are towards the three positive ends of the axes ( those shown in Fig . 5.1 ) ...
... cube upon the material inside the cube . The force transmitted across each face may be resolved into three components . Consider first the three faces which are towards the three positive ends of the axes ( those shown in Fig . 5.1 ) ...
Page 136
... cube , and suppose it is subjected to a small homogeneous strain with components . Now let the strain components all be changed to e + de . We prove that the work done by the stress components σ acting on the cube faces is = dW = σ¡de ...
... cube , and suppose it is subjected to a small homogeneous strain with components . Now let the strain components all be changed to e + de . We prove that the work done by the stress components σ acting on the cube faces is = dW = σ¡de ...
Page 145
... cube axes ( 100 ) and has its maximum value of in the ( 111 ) directions . Hence , if ( 811-812-1844 ) is positive ( as it is for all cubic metals except molybdenum ) , Young's Modulus is a maximum in the ( 111 ) directions and a ...
... cube axes ( 100 ) and has its maximum value of in the ( 111 ) directions . Hence , if ( 811-812-1844 ) is positive ( as it is for all cubic metals except molybdenum ) , Young's Modulus is a maximum in the ( 111 ) directions and a ...
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