Physical Properties of Crystals: Their Representation by Tensors and Matrices |
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Page 82
... stress A BODY which is acted on by external forces , or , more generally , a body in which one part exerts a force on neighbouring parts , is said to be in a state of stress . If we consider a volume element situated within a stressed ...
... stress A BODY which is acted on by external forces , or , more generally , a body in which one part exerts a force on neighbouring parts , is said to be in a state of stress . If we consider a volume element situated within a stressed ...
Page 90
... stress axes , σ = 0112 + 0212 + 03 13 . 4. Special forms of the stress tensor We give now some of the forms taken by the stress tensor , referred to its principal axes , in special cases . ( i ) Uniaxial stress , o . σ 0 01 0 0 0 0 0 0 ...
... stress axes , σ = 0112 + 0212 + 03 13 . 4. Special forms of the stress tensor We give now some of the forms taken by the stress tensor , referred to its principal axes , in special cases . ( i ) Uniaxial stress , o . σ 0 01 0 0 0 0 0 0 ...
Page 177
... stress † produced by a temperature change , which , for an experiment in which the crystal is clamped so that there ... stress ' . To see how this concept arises let a free crystal be heated so that it expands in a certain direction ...
... stress † produced by a temperature change , which , for an experiment in which the crystal is clamped so that there ... stress ' . To see how this concept arises let a free crystal be heated so that it expands in a certain direction ...
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