Summary of notation.

Name	Meaning
x	Position in the initial space
X	Position in the target space
r in, rout	Inner and outer radii
V, A	Volume and oriented area in the target space
d	Dimension
e 0, e2	Components of the imposed displacement
u	Displacement vector
η	Displacement gradient
ε	Green–Lagrange strain tensor
I, J	Invariants of the strain tensor
E	Elastic energy density
K, G	Differential bulk and shear moduli
κ, μ	Linear bulk and shear moduli
ν	Poisson ratio
κ 1, μ1	Corrections to the elastic moduli
f	Force density
σ	Cauchy stress tensor
a ( l)	Coarse-grained active (local) stress tensor
	Coarse-grained active (local) pressure
	Coarse-grained active (local) shear stress