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MPG m'm2'

Properties:

My, Rz⨂T, Mx⨂T

1D Identification

  • P(z)
  • P'(x)
  • A'(y)

Odd-Order Property

Applied M1 Checked Description M2
E(x) ►
k(z)
A(y)Transverse E-induced ferro-rotational vector
E(y) ►
A(x)
M(z)
E(z) ►
k(x)
k(xy)
k(yx)
M(y)
M(xy)
M(yx)
E(xy) ►
E(yx)
A(yx)
E(yx) ►
E(xy)
A(xy)
k(x) ►
V(z)
k(xy)
k(yx)
M(y)
M(xy)
M(yx)
k(y) ►
A(z)
M(x)
k(z) ►
V(x)
A(y)
k(xy) ►
V(z)
k(x)
k(yx)
M(y)
M(yx)
k(yx) ►
V(z)
k(x)
k(xy)
M(y)
M(xy)
A(x) ►
V(y)
M(z)Shear-stress induced M (piezomagnetic tensor)
A(y) ►
V(x)
k(z)
A(z) ►
k(y)
M(x)
A(xy) ►
E(yx)
A(yx)
A(yx) ►
E(xy)
A(xy)
H(x) ►
k(y)
A(z)
H(y) ►
V(z)
k(x)
k(xy)
k(yx)
M(xy)
M(yx)
H(z) ►
V(y)
A(x)
H(xy) ►
V(z)
k(x)
k(yx)
M(y)
M(yx)
H(yx) ►
V(z)
k(x)
k(xy)
M(y)
M(xy)
C(x) ►
k(y)
A(z)
C(y) ►
A(z)
M(x)
C(z) ►
k(y)
M(x)
C(xy) ►
V(z)
k(x)
k(yx)
M(y)
M(yx)
C(yx) ►
V(z)
k(x)
k(xy)
M(y)
M(xy)
C'(x) ►
V(y)
M(z)
C'(y) ►
A(x)
M(z)
C'(z) ►
V(y)
A(x)
C'(xy) ►
E(yx)
A(yx)
C'(yx) ►
E(xy)
A(xy)
D'(x) ►
k(z)
A(y)
D'(y) ►
V(x)
k(z)
D'(z) ►
V(x)
A(y)
D'(xy) ►
E(yx)
A(yx)
D'(yx) ►
E(xy)
A(xy)

Longitudinal Property

Primary Secondary
P(x)D'(x)
P(y)C'(y)
P'(y)C(y)
P'(z)D'(z)
A(x)C'(x)
A(y)D'(y)
A(z)C(z)
A'(x)C(x)
A'(z)C'(z)

Full Rank Property

Initial Subtracted
P(x)D'(x)
P'(x)P(x), A(x), A'(x), C(x), C'(x), D'(x)
A(x)C'(x)
A'(x)C(x)
C(x)A'(x)
C'(x)A(x)
D'(x)P(x)
P(y)C'(y)
P'(y)C(y)
A(y)D'(y)
A'(y)P(y), P'(y), A(y), C(y), C'(y), D'(y)
C(y)P'(y)
C'(y)P(y)
D'(y)A(y)
P(z)P'(z), A(z), A'(z), C(z), C'(z), D'(z)
P'(z)D'(z)
A(z)C(z)
A'(z)C'(z)
C(z)A(z)
C'(z)A'(z)
D'(z)P'(z)