Notation Conventions
Loads and Stresses
A ij
Tensor of second rank
A ij kl , C ij kl
Fourth-rank tensor
α 1,2
Boundaries set of sliding planes
β(β 1 , β 2 , β 3 ) Unit vector of octahedral shear stress
δA, δW
Variation of external and internal forces operation
D σ , D ε
Stress and strain deviators
E(e), K(e)
Elliptic integrals
( e 1 ,
e 2 ,
e 3 )
Orta of coordinate axes
I 1 , I ( 2 , I 3 )
Tensor invariants
I σ , II σ , I I I σ Main invariants of stress tensor
J 1 , J 2 , J 3
Different forms of stress tensor invariants
Integral of probabilities
(ε è )
Universal hardening function
y)
Prandtl’s function
P e , P i
Set of external (internal) forces
(z), ,(z)
Holomorphic Muskhelishvili functions
p
Intensity of superficial loading
q
Load per unit of length
S ij
Green’s tensor function
S σ
Ball stress tensor
Total stress at body point
σ k
Normal component of stress vector in the direction of k-axis
σ 0
Average normal tension
σ 1 , σ 2 , σ 3
(σ 1 σ 2 σ 3 )—main stress
σ k
Normal component of stress vector in the direction of k-axis
σ r , σ t
Normal stresses in polar coordinates
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