Notation
Stresses and strains
e ij | = deviatoric strain tensor | |
s ij | = deviatoric stress tensor | |
s 1, s 2, s 3 | = principal-stress deviators | |
? | = engineering shear strain | |
? oct | = = octahedral engineering shear strain | |
? ij | = strain tensor | |
? oct | = = octahedral normal strain | |
? v | = I' 1, = volumetric strain | |
? 1, ? 2, ? 3 | = principal strains, tensile strain positive | |
? | = normal stress | |
? ij | = stress tensor | |
? m | = ? oct = mean normal stress | |
? oct | = = octahedral normal stress | |
? 1, ? 2, ? 3 | = principal stresses, tensile stress positive | |
? | = shear stress | |
? m | = = mean shear stress | |
? oct | = = octahedral shear stress |
Invariants
I 1 = I 1 = ? 1 + ? 2 + ? 3 = ? ii | = first invariant of stress tensor | |
I' 1 = I' 1 | = ? 1 + ? 2 + ? 3 = ? v = first invariant of strain tensor | |
I 2 | = ? 1 ? 2 + ? 2 ? 3 + ? 3 ? 1 = second invariant of stress tensor | |
I 3 | = ? ij |