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MAGNETO-CRYSTALLINE ENERGY DENSITY SERIES COMPARISION FOR PURE IRON AND ELECTRICAL STEELS.docx

MAGNETO-CRYSTALLINE ENERGY DENSITY SERIES COMPARISION FOR PURE IRON AND ELECTRICAL STEELS.

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MAGNETO-CRYSTALLINE ENERGY DENSITY,E˚ =
0.355 * A˚ + (0.163 – 0.031 * A˚) [Si wt%] –
1.898
REFERENCE : Through process texture
evolution and magnetic properties of high Si
non-oriented electrical steels
Jurij J. Sidor , Kim Verbeken, Edgar Gomes,
Juergen Schneider ,Pablo Rodriguez Calvillo,
Leo A.I. Kestens
FOR PURE IRON:
MAGNETO-CRYSTALLINE ENERGY DENSITY,E˚ =
0.355 * A˚ + (0.163 – 0.031 * A˚) [Si wt%] –
1.898
For pure iron, E˚ = 6.0895;
6.0895 = 0.355 * 22.5 + (0.163 – 0.031 * 22.5)
[Si wt%] – 1.898
6.0895 = 6.0895 + (0.163 – 0.031 * 22.5) [Si
wt%]
(0.163 – 0.031 * 22.5) [Si wt%] = 0;
[Si wt%] =0;
Differentiating, E˚ with respect to A˚[ least 22.5
for cube texture],we have
dE˚/dA˚ = 0.355 – 0.031[Si wt%] =0 for
minimum MAGNETO-CRYSTALLINE ENERGY
DENSITY.
[Si wt%] = 0.355/0.031 = 11.4516;
E˚ = 0.355 * 22.5 + (0.163 – 0.031 * 22.5)
*11.4516– 1.898 = -0.0313802 ≈ ZERO.
MAGNETO-CRYSTALLINE ENERGY DENSITY
SERIES FOR ELECTRICAL STEELS,
E˚ IS ZERO FOR PURE IRON = 6.0895 ;
E˚ IS POSITIVE VARIES FROM FORM 6.0895[Si
wt%] =0 UP TO [Si wt%] ≤ 11.4516,
E˚ -0.0314871 FOR [Si wt%] = 11.4516;
E˚ IS NEGATIVE FOR [Si wt%] ≥ 11.4516

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MAGNETO-CRYSTALLINE ENERGY DENSITY SERIES COMPARISION FOR PURE IRON AND ELECTRICAL STEELS.docx

  • 1. MAGNETO-CRYSTALLINE ENERGY DENSITY,E˚ = 0.355 * A˚ + (0.163 – 0.031 * A˚) [Si wt%] – 1.898 REFERENCE : Through process texture evolution and magnetic properties of high Si non-oriented electrical steels Jurij J. Sidor , Kim Verbeken, Edgar Gomes, Juergen Schneider ,Pablo Rodriguez Calvillo, Leo A.I. Kestens FOR PURE IRON:
  • 2. MAGNETO-CRYSTALLINE ENERGY DENSITY,E˚ = 0.355 * A˚ + (0.163 – 0.031 * A˚) [Si wt%] – 1.898 For pure iron, E˚ = 6.0895; 6.0895 = 0.355 * 22.5 + (0.163 – 0.031 * 22.5) [Si wt%] – 1.898 6.0895 = 6.0895 + (0.163 – 0.031 * 22.5) [Si wt%] (0.163 – 0.031 * 22.5) [Si wt%] = 0; [Si wt%] =0; Differentiating, E˚ with respect to A˚[ least 22.5 for cube texture],we have dE˚/dA˚ = 0.355 – 0.031[Si wt%] =0 for minimum MAGNETO-CRYSTALLINE ENERGY DENSITY. [Si wt%] = 0.355/0.031 = 11.4516;
  • 3. E˚ = 0.355 * 22.5 + (0.163 – 0.031 * 22.5) *11.4516– 1.898 = -0.0313802 ≈ ZERO. MAGNETO-CRYSTALLINE ENERGY DENSITY SERIES FOR ELECTRICAL STEELS, E˚ IS ZERO FOR PURE IRON = 6.0895 ; E˚ IS POSITIVE VARIES FROM FORM 6.0895[Si wt%] =0 UP TO [Si wt%] ≤ 11.4516, E˚ -0.0314871 FOR [Si wt%] = 11.4516; E˚ IS NEGATIVE FOR [Si wt%] ≥ 11.4516