p 0 , n 0
N
À
A , N
þ
D
p
0 , n
0
p| φ ¼ 0 , n| φ ¼ 0
Δp, Δn
Carrier concentration perturbations
ρ
e
Sum of doping and mobile charge densities
ρ
t
Total charge density
Q
e
Charge
ρ
P
Volume effective polarization charge density
σ
P
Area effective polarization charge density
J
p
i , J
n
i
Current densities of holes and electrons
c
E
ijkl , s
E
ijkl
Elastic stiffness and compliance
e ijk , d ijk
Piezoelectric constants
ε
S
ij , ε
T
ij
Dielectric constants
μ
p
ij , μ
n
ij
Mobility of holes and electrons
D
p
ij , D
n
ij
Diffusion constants of holes and electrons
T
Absolute temperature
Θ 0
Reference temperature
θ
Temperature deviation from Θ 0
η
Entropy density
h i
Heat flux
λ i,j
Thermoelastic constants
p j
Pyroelectric constants
κ ij
Heat conduction coefficients
D
Tp
ij , D
Tn
ij
Thermal diffusion constants
κ
E
ij , σ
Tp
ij , σ
Tn
ij
Thermoelectric constants
h ijk
Piezomagnetic constants
α ij
Magnetoelectric constants
μ ij
Magnetic permeability
k
2
15 , k
2
15
Electromechanical coupling factor
N
Extensional force in rods
M
Bending moment in beams
Q
Shear force in beams; material quality factor
c 33 , e 33 , ε 33 Effective material constants of rods/beams (Chaps. 3 and 4)
c pq , e ip , ε ij
Effective material constants of plates (Chap. 5)
c
0
ð Þ
pq , e
0
ð Þ
ip
Effective material constants of plates (Chap. 5)
γ rs , ψ ks , ζ kj Effective material constants of plates (Chap. 5)
κ, κ 1 , κ 2
Thickness-shear correction factors of plates (Chap. 5)
a, b, c, d
Two-dimensional tensor indices of plates (Chaps. 5 and 6)
ω 1 , b
ω 1
Fundamental thickness-shear frequency (Chaps. 5 and 6)
k
Wave number
λ D
Debye-Hückel length
214
Appendices
N
À
A , N
þ
D
p
0 , n
0
p| φ ¼ 0 , n| φ ¼ 0
Δp, Δn
Carrier concentration perturbations
ρ
e
Sum of doping and mobile charge densities
ρ
t
Total charge density
Q
e
Charge
ρ
P
Volume effective polarization charge density
σ
P
Area effective polarization charge density
J
p
i , J
n
i
Current densities of holes and electrons
c
E
ijkl , s
E
ijkl
Elastic stiffness and compliance
e ijk , d ijk
Piezoelectric constants
ε
S
ij , ε
T
ij
Dielectric constants
μ
p
ij , μ
n
ij
Mobility of holes and electrons
D
p
ij , D
n
ij
Diffusion constants of holes and electrons
T
Absolute temperature
Θ 0
Reference temperature
θ
Temperature deviation from Θ 0
η
Entropy density
h i
Heat flux
λ i,j
Thermoelastic constants
p j
Pyroelectric constants
κ ij
Heat conduction coefficients
D
Tp
ij , D
Tn
ij
Thermal diffusion constants
κ
E
ij , σ
Tp
ij , σ
Tn
ij
Thermoelectric constants
h ijk
Piezomagnetic constants
α ij
Magnetoelectric constants
μ ij
Magnetic permeability
k
2
15 , k
2
15
Electromechanical coupling factor
N
Extensional force in rods
M
Bending moment in beams
Q
Shear force in beams; material quality factor
c 33 , e 33 , ε 33 Effective material constants of rods/beams (Chaps. 3 and 4)
c pq , e ip , ε ij
Effective material constants of plates (Chap. 5)
c
0
ð Þ
pq , e
0
ð Þ
ip
Effective material constants of plates (Chap. 5)
γ rs , ψ ks , ζ kj Effective material constants of plates (Chap. 5)
κ, κ 1 , κ 2
Thickness-shear correction factors of plates (Chap. 5)
a, b, c, d
Two-dimensional tensor indices of plates (Chaps. 5 and 6)
ω 1 , b
ω 1
Fundamental thickness-shear frequency (Chaps. 5 and 6)
k
Wave number
λ D
Debye-Hückel length
214
Appendices