Physical Properties of Crystals: Their Representation by Tensors and Matrices |
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Page 45
... diagram , are S22 and S12 . If RC is produced to cut the circle in T , the abscissa of T is S11 . This construction , called the Mohr circle construction , gives a visual picture of the way S11 , S22 and S12 change as the axes of ...
... diagram , are S22 and S12 . If RC is produced to cut the circle in T , the abscissa of T is S11 . This construction , called the Mohr circle construction , gives a visual picture of the way S11 , S22 and S12 change as the axes of ...
Page 46
... Mohr circle construction that S11 S12 S12 S22 is invariant for rotations about x3 . Interpret this geometrically . EXERCISE 2.3 . Carry out the relevant parts of steps [ 1 ] to [ 5 ] in Exercise 1.3 on p . 31 by means of the Mohr circle ...
... Mohr circle construction that S11 S12 S12 S22 is invariant for rotations about x3 . Interpret this geometrically . EXERCISE 2.3 . Carry out the relevant parts of steps [ 1 ] to [ 5 ] in Exercise 1.3 on p . 31 by means of the Mohr circle ...
Page 47
... Mohr circle construction applies equally well to both cases . EXERCISE 2.4 . Transform the following tensors to their principal axes , using the Mohr circle construction [ ( a ) [ 11.06 3.08 3.08 18.94 0 ( b ) 6 - 3√3 - 3√3 0 0 0 43 0 ...
... Mohr circle construction applies equally well to both cases . EXERCISE 2.4 . Transform the following tensors to their principal axes , using the Mohr circle construction [ ( a ) [ 11.06 3.08 3.08 18.94 0 ( b ) 6 - 3√3 - 3√3 0 0 0 43 0 ...
Contents
THE GROUNDWORK OF CRYSTAL PHYSICS | 3 |
EQUILIBRIUM PROPERTIES | 51 |
ELECTRIC POLARIZATION | 68 |
18 other sections not shown
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 dijk direction cosines dummy suffix elastic electric field ellipsoid equation example force given grad H₁ H₂ heat flow Hence hexagonal homogeneous indicatrix isothermal isotropic k₁ magnetic magnitude matrix notation measured moduli monoclinic number of independent Onsager's Principle optical activity orientation orthorhombic Ox₁ P₁ parallel Peltier permittivity perpendicular photoelastic effect piezoelectric effect plane plate polarization principal axes produced pyroelectric pyroelectric effect quantities radius vector referred refractive index relation representation quadric represented right-handed rotation S₁ scalar second-rank tensor set of axes shear strain stress suffix notation surface susceptibility symmetry elements Table temperature gradient thermal expansion thermodynamics thermoelectric effects Thomson heat tion transformation law triclinic trigonal uniaxial values x₁ Young's Modulus zero