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. 2022 Mar 25;15(7):2432. doi: 10.3390/ma15072432
αt thermal expansion (K1)
Cϑ specific heat (J kg1 K1)
δij Kronecker’s delta
eθθ,eϕϕ circumferential strains
err radial strain
e volumetric strain (dilatation)
eij strain tensor components
ϑ velocity of heat source (m s1)
γ(3λ+2μ)αt thermal modulus (N m2 K1)
H(t) Heaviside’s unit step function
H0 initial magnetic field
k heat conductivity (W m1 K1)
k* rate of thermal conductivity (W m1 K1)
λ,μ Lame’s constants (N m2)
μ0 electric permeability
ρ density (kg m3)
R radius of the spherical hole (m)
(r,θ,ϕ) spherical coordinates system
σij stress tensor components (N m2)
σθϕ,σrθ,σrϕ shear stresses (N m2)
σθθ,σϕϕ circumferential stresses (N m2)
σrr radial stress (N m2)
s Laplace parameter
Θ=TT0 temperature change (K)
Θ0 thermal constant (K)
T0 environment temperature (K)
τq phase-lag of heat flux (s)
τT phase-lag of temperature gradient (s)
τ0 first relaxation time (s)
ω angular frequency of thermal vibration (rad s1)
Q0 strength of heat source (W m3)
δ delta function
q heat flux vector (W m2)
ur radial displacement (m)
uθ,uϕ circumferential displacements (m)