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1

2

3 W/C W/C W/C

4 (1) 4 (2) (1) 5 (2) ( ) (1) 12 (2) (1) 15 (2) 16 (3) (1) 25 (2)

5 (1) 30 (2) (, Back Propagation ) (1) 33 (2) (1) (1) () 44 (2) () (1) 52 (2) (1) 59 (2) 59 (3) (1) 62 (2) (1) 66 (2) 66 (3)

6 A 1 B 1 C C.1 2 C.2 ( ) 6 C.3 ( ) 7 D 1

7 1. 1.1, % % ASR( ) 1.1 1

8 W/C W/C 20 C W/C 2

9

10 (1) 2.1 Fe Fe e ( ) (2.1) 1 2 O2 + H 2 O + 2e 2OH ( ) (2.2) 2 2 Fe O 2 + H 2 O Fe(OH) 2 () (2.3), (2), 3 nm 4

11 (1) (2) / 5

12

13 (g/cm 2 ) ( ) Fe(OH) FeO Fe 3 O α FeOOH β FeOOH γ FeOOH δ FeOOH α Fe 2 O β Fe 2 O

14 % 3.5% i. ii. 3 iii. 8

15 DC (cm 2 /s) NaCl KCl CaCl 2 MgCl 2 (Cl ) kg/m kg/m (mg/cm 2 ) ( ) (1989) ( 2.5) 5 3 (3) (1993) ( ) 1.2 ( ) 6 3 ( ) (1994) ( ) (1996) 1.2 ( ) 13 1 (2001) 1.2 ( ) ( ) (2001)

16 I II III-1 III-2 IV 10

17 3.2 ( ) ( ) 60% C-S-H 25% ph12.6 ph ph i. ii. iii. iv. ph v. ph vi. vii. Ca(OH) 2 + H 2 CO 3 CaCO 3 + 2H 2 O (3.1) 3CaO 2SiO 2 3H 2 O + 3H 2 CO 3 3CaCO 3 + 2SiO 2 + 6H 2 O (3.2) 3CaO Al 2 O 3 CaSO 4 32H 2 O + 3H 2 CO 3 3CaCO 3 + 2Al(OH) 3 + 3CaSO H 2 O (3.3) 3CaO Al 2 O 3 CaSO 4 12H 2 O + 3H 2 CO 3 3CaCO 3 + Al(OH) 3 + CaSO H 2 O (3.4) 3CaO(Al 2 O 3 Fe 2 O 3 ) CaSO 4 32H 2 O + 3H 2 CO 3 3CaCO 3 + 2Al(OH) 3 + 2Fe(OH) 3 + 3CaSO H 2 O (3.5) (3.1) (3.3) (3.4) 3.3 ASR 11

18 (1) (3.1) (3.5) 3CaO Al 2 O 3 CaCl 2 10H 2 O + 3CO 2 3CaCO 3 + 2Al(OH) 3 + CaCl 2 + 7H 2 O (3.6) ( ) 3.2 (2) 12

19 I. Cl - II. Cl - III. Cl - IV. V

20 ( ) 4.2 ( Icorr.) 2 ( ) () 4.2 R ct R s C dl

21 O 2 OH - I a Fe 2+ e - e - e - e - I c Icorr. 4.2 (1) 1957 M.Stern A.L.Geary (4.1) Stern-Geary Icorr. = K 1 (4.1) R p Icorr. : (A/cm 2 ) R p : (Ωcm 2 ) K : (V) R p (Ωcm 2 ) K Icorr.(A/cm 2 ) K 0.026V Icorr.(A/cm 2 ) Fe Fe e Icorr. 2 (4.2) r = m Icorr. z F (4.2) r : (g/cm 2 /s) m : (= 55.8 g) Icorr. : (A/cm 2 ) z : (= 2; Fe Fe e ) F : (= As) 15

22 RE: CE: WE (4.4) (4.5) 7.87 g/cm 3 1 (4.5) 1 µa/cm mdd (4.3) (mdd : mg/dm 2 /day) 1 µa/cm mg/cm 2 /year (4.4) 1 µa/cm mm/year (4.5) (2) 4.3 (WE) (RE) (CE) 3 3 /

23 (3)?? C dl C dl 0 R s C dl R s + Rct 2 R ct 4.2 i. ii. iii. iv. ( ) 30 v. vi. vii. 2 2 viii. A A(cm 2 ) ix. R ct A R ct (Ωcm 2 ) x. Icorr. Icorr. = K (1/R ct ) K = V Icorr.(A/cm 2 ) xi

24 (a) 1 (b) ( cm 2 ) Stern-Geary :Icorr. = K (1/R ct ) K V K

25 (a) 5.1(b) ( ) (%) ( ) (a) (%) (b)

26 5.1 mm C % % mm mm 1% mm = kg/m 3 kωcm 2 4 mg/cm 2 / (4.1) R (k cm 2 ) (mm) (a) (b) i. 5.2(a) φ mm φ 16mm 5.2(b) φ φ mm mm ii. 5.3(a) 20

27 R (k cm 2 ) T ( ) (a) (b) C T 1000 kωcm kωcm 2 5.3(b) T T C 10 12,18 20 C ) C iii. 5.4(a) 100 kωcm 2 50 % 5.4(b) H % % iv. 5.5(a) C 9.0 kg/m kg/m kg/m 3 C 2.0 kg/m 3 C 3 kg/m kωcm 2 5.5(b) C kg/m kg/m kg/m 3 v. 5.6(a) W % 0.0 % W 21

28 R (k cm 2 ) H (%) (a) (b) 5.4 R (k cm 2 ) C (kg/m 3 ) (a) (b) (b) W % vi. 5.7(a) d mm 5.7(b) d d mm, vii. 5.8(a) Z 0 80 mm Z 22

29 R (k cm 2 ) W (%) (a) (b) R (k cm 2 ) d (mm) (a) (b) (b) X 2 Z 0 20 mm 30 mm mm viii. 5.9(a) X X X 5.9(b) X X 23

30 R (k cm 2 ) Z (mm) (a) (b) 5.8 R (k cm 2 ) X (mm) (a) (b) 5.9 ix R R 200 kωcm (b) 400 kωcm 2 R 100 kωcm 2 x r r 20 mg/cm 2 / 20 mg/cm 2 / 5.10(b) r 5 mg/cm 2 / 24

31 20 15 n R (k cm 2 ) (a) ( ) (b) (400 kωcm 2 ) n r (mg/cm 2 /year) (a) ( ) (b) (20 mg/cm 2 / ) (1) 5.12 µ σ δ δ (5.1) δ = σ µ (5.1) 25

32 5.12 (2) 5.13 R δ kωcm 2 δ % 26

33 500 R 2 = R 2 =0.87 (k cm 2 ) = (mg/cm 2 /year) = (k cm 2 ) (mg/cm 2 /year) (a) (b) 5.13 = / = (k cm 2 ) = / = (mg/cm 2 /year) (a) (b)

34 (Neural Network) () 6.1(a) (soma) (dendrite) (axon) (synapse) 6.1 () 6.1(b) (a) (b) ( )

35 X 1 W 1 X 2 W 2 W n Y X n 6.2 ( ) (learning) (recognition) ( ) ( ) 1958 Rummelhart Perceptron() 29

36 6.2 (1) a) 6.2 n n i X i W i () (6.1) = n n = X 1 W 1 + X 2 W X n W n n = X i W i (6.1) i=1 θ ( θ) b) ( ) Y 01 Y = Y = n f(x i W i θ) (6.2) i=1 n f(x i W i ) (6.3) i=0 (6.3) (6.3) (6.3) θ 6.3 (2), a) 6.4(a) 3 30

37 f(x) f(x) x 6.3 (a) (b) (c)

38 3 b) 6.4(b) (Hopfield Network) 15) (Boltsmann Machine) 16) c) Kohonen (Self-Organizing Map, SOM) 17) 6.4(c) 2 3 (Learning Vector Quantization,LVQ) 18) 6.3 (, Back Propagation ) 19, 20) 1980 Rumelhart i I i j H j k O k i j j k W ji, V kj H j O k (6.3) (6.5) (6.5) ( ) H j = f W ji I i (6.4) i ( ) O k = f V kj H j T k k E (6.6) i (6.5) E = 1 (T k O k ) (6.6) 2 k E E O k O k V kj ε/ V kj ( V kj = ε E/ V kj ) V kj 32

39 I i i j H j k O k W ji V kj ) (6.6) V kj V kj V kj (6.7) α V kj = α (T k O k ) O k (1 O k ) H k (6.7) (6.6) W ji W ji W ji (6.8) β W ji = β δ k V kj H j (1 H j ) I i (6.8) 6.4 f(x) T sig θ ε (1) (6.9) (6.10) (6.11) i. ( 6.3) f(x) = { 1 (x 0) 0 (x < 0) (6.9) 33

40 f(x) f(x) x 0 x x 1 (a) (b) 6.6 ii. ( 6.6(a)) iii. ( 6.6(b)) 1 (x X 0 ) f(x) = ax + b (X 1 < x < X 0 ) 0 (x X 1 ) f(x) = exp ( x) (6.10) (6.11) (6.9) (6.10) (6.11) x = 0 X 0 X 1 T sig (6.13) 1 f(x) = ( 1 + exp x ) (6.12) T sig x : T sig : (2) a) T sig 6.7 T sig S T sig T sig 34

41 T sig =0.5 T sig = T sig =2.0 f(x) 0.4 T sig = x 6.7 T sig (local minimum) (simulated annealing) T sig 6.8 T sig T sig T sig T sig T sig T sig T sig T sig T sig T sig

42 T sig T sig 6.8 b) θ (6.3) θ 1 0 c) ε w t (0 < ε << 1) ε d)

43 (0,1) (1,1) (0,1) (1,1)? (0,0) (1,0) (0,0) (1,0) AND XOR ( ) 6.2 X 1 X 2 Y () () AIC(An Information Theoretical Criterion) 21) e) (6.6) 0 37

44 Y X 6.10 (over fitting) 6.10 f) 0 1 (6.11) (6.13) ˆp = (q max q min + q min p max ) p q max pmin p max p min (6.13) p : ˆp : p max, pmin : q max, q min : 38

45 W (1) X Y (6.14) Y = f(x) (6.14) X = {x 1, x 2,, x i, x l } Y = {y 1, y 2,, y k, x n } l n 1 x i y k (6.15) y k x i = m j=1 m B B = {b 1, b 2,, b j,, b m } y k b j b j x i (6.15) 39

46 x i, b j (6.3) (6.17) (6.17) ( l ) b i = f w ij x i θ j i=1 (6.16) m y k = f w kj b j θ k (6.17) j=1 (6.17) (6.13) (6.18) ( b j = 1 ) l i=1 w ij exp w ij x i θ j x i T sig T sig { ( )} l i=1 log 1 + exp w ij x i θ j T sig (6.18) (6.17) (6.13) (6.19) ( y k = 1 m j=1 w jk exp w ) kj b j θ k b j T sig T sig { ( m j=1 log 1 + exp w )} kj b j θ k (6.19) T sig (6.15) (6.18) (6.19) 40

47 i. BP

48 ii. iii. iv. v. vi i. ii. iii. iv. v. 42

49 vi

50 , 6 (1) ()

51 T ( C) W (%) 8.1 T W C X R r ( C) (%) (kg/m 3 ) (mm) (kωcm 2 ) (mg/cm 2 / ) C (kg/m 3 ) X (mm) R (kωcm 2 ) r (mg/cm 2 / ) a) 158 ( ) b) c) 1% 45

52 , (8.1) X = d Z (8.1) d Z d) 50 C e) (a) R (b) R (c) R (d) 46

53 (a) (b) (c) (d) 8.1 R (2) () a)

54 b) 8.3 CEB( ) ( ) CEB Icorr. ( ) K=0.026V Icorr. (4.1) ( ) (6.6)

55 8.3 ( ) Rct r () (kωcm 2 ) Icorr(µA/cm 2 ) (mg/cm/year) PDY(mm/year) () NN NN: (NeuralNetwork) kωcm kωcm 2 c) 2 8.2,

56 yes no n 2 n (mg/cm 2 ) (a) (mg/cm 2 ) (b) mg/cm 2 / 23, 24) mg/cm % mg/cm mg/cm mg/cm 2 / 50

57 8.5 95% 85% (mg/cm 2 ) (mg/cm 2 ) kωcm 2 d) kωcm kωcm kωcm

58 No 500kΩcm 2 20mg/cm 2 /year Yes 1/5 4/5 8.5 (1) % (2) a) % 52

59 ExOr (8.2) S 2 (n I n m + n m n o ) (8.2) S = 129, n I = 4, n o ) = (4 n m + n m 1)n m b) T sig θ ε 6 T sig S T sig S T sig T sig T sig 53

60 T I 1 H 1 W C I 2 I 3 H 2 H 3 O 1 R X I 4 H 4 :I i :H j : 8.6 T sig T sig θ θ θ 1.0 ε ε ε ε ε T sig 1.0 θa 1.0 ε 0.05 c) (6.6) 54

61 E E n ( ) (a) n ( ) (b) (b) E 2 R c R s E 2 (8.3) E 2 = R s R c R c (8.3) E (a) (b)

62 (a) (b) Data No. Data No. 8.10(b) 40% 40% % 56 40% 51% R kωcm (a) 56

63 n ( ) Rc Rs 500 R (k cm 2 ) Rc(k cm 2 ) Data No. (a) Rs(k cm 2 ) (b) 8.10 ( ) 8.11(b) 40% % R % % 40% % 57

64 Rs Rc R(k cm 2 ) 300 Rc(k cm 2 ) Data No Rs(k cm 2 ) (a) ( ) (b) ( ) 8.11 ( ) 58

65 9. 4 ( ) 9.1 (1) 6 (2) 25 C 1.2 kg/m kg/m kg/m % 3.0 % 59

66 9.1, 9.2 ±, C 25 C 25.3 C 4.3 kg/m kg/m % 3.0 % 3.0% 13.0 mm 20 mm 9.2 T ( C) C (kg/m 3 ) W (%) X (mm) (3) a) 8 9.1(a) b) 1.2 kg/m 3 9.1(b) 60

67 kg/m kg/m kg/m kg/m kg/m % 5.0 % 7.0 % 10.0 % R(k cm 2 ) R(k cm 2 ) R(k cm 2 ) T( ) (a) 0.1 kg/m kg/m kg/m kg/m kg/m 3 R(k cm 2 ) C(%) (b) 0.1 kg/m kg/m kg/m kg/m kg/m W(%) (c) X(mm) (d) 9.1 c) 3.0% 9.1(c) d) 61

68 9.1(d) 9.2 (1) (9.1) R(T, C, W, X) = R 0 C T (T) C C (C) C W (W) C X (X) (9.1) C T (T), C C (C), C W (W), C X (X) T C W X R kωcm kωcm kωcm 2 R bar R bar T C W X (2) a) 9.1(a) (9.2) C T (T) = α T (T 25) + β T (9.2) T α T, β T, C 25 C α T = , β T = b) 9.1(b) (9.3) 1 γ C C C (C) = γ C + ) (9.3) 1 + α C exp ( CβC C α C, β C, γ C, γ C 0 1 γ C 1 γ C 62

69 α C = β C = γ C = c) 9.1(c) 63

70 9.4 (9.4) C W (W) = 1 ) (9.4) 1 + α W exp ( WβW W α W, β W, α W = β W = d) 9.1(d) (9.5) C X (X) = 1 ) (9.5) 1 + α X exp ( XβX X α X, β X, α X = 0.592, β X =

71 9.5 e) C T (T) = (T 25) (9.6) C C (C) = ( exp C ) (9.7) C W (W) = ( exp W ) (9.8) C X (X) = ( exp X ) (9.9) T,C,W,X 65

72 9.3 (1) (9.1) (9.6) (9.9) R 0 = 500 kωcm 2 (9.10) R(T, C, W, X) = R 0 C T (T) C C (C) C W (W) C X (X) = { (T 25) } ( exp C ) ( exp W ) ( exp X ) (9.10) (9.10) (2) (9.11) k rc = k rs (9.11) rc2 k rc2 = rc/k Rc(k cm 2 ) Rc=0.36 Rs R 2 =0.75 rc(mg/cm 2 /year) rc=1.86 R 2 =0.59 rs Rs(k cm 2 ) (a) rs(mg/cm 2 /year) (b)

73 25 rc2(mg/cm 2 /year) R 2 = rs(mg/cm 2 /year) 9.7 (3) 9.6 k 1.86 (9.12) R(T, C, W, X) = { (T 25) } ( exp C ) ( exp W ) ( exp X ) (9.12) (9.12) % % R

74 kωcm % % 51% 10.2 R(T, C, W, X) = R 0 C T (T) C C (C) C W (W) C X (X) 68

75 R(T, C, W, X) = R 0 C T (T) C C (C) C W (W) C X (X) 1 = { (T 25) } ( exp C ) ( exp W ) ( exp X ) % % i. 159 ( ) ii. 4 69

76

77 1) : H15,, ) :,, ),, : 3,, ),,,, :,, ) :,,,pp , ) : 04 [ ],, ) : ( ),, ), : (I),, ), : (II),, ) ; - -, BP, ) :,, ) : 2001 [ ],, ) : RC,,, ) : ( 15) J.Hopfield: Neurons with graded response have collective computational properties like those of two-state neurons, Proc. Nat. Acad. Sci. USA, Vol. 81, pp , ) D.H.Ackley, G.E.Hinton, and T.J.Sejnowski: A learning algorithm for boltzmann machines, Cognitive Science, Vol. 9, pp , ) T.Kohonen: The neural phonetic typewriter, IEEE computer, Vol. 21, No. 3, pp , ) T.Kohonen, G.Barna, and R.Chrisley: Statistical pattern recognition with neural networks: benchmarking studies, Proc.ICNN, Vol. I, pp , ) J.Dayhoff, :,, ), :,, ) Akaike. H: A new look at the statistical model identification, IEEE Trans. on Automatic Control, Vol. AC-19, No. 6, pp , ) :,, ) :,,, ) :,,, 2005.

78 25) :,, ) :,, ),,, :, 11, pp , ),,, :, 60 5, pp , ),,,, :, 9, pp, 2005.

79

80 A

81 A B C-1 D-1 A.1: Data No. D(mm) T ( C) H (%) W (%) Z (mm) d (mm) C (kg/m 3 ) X (mm) R (kωcm 2 ) r (mg/cm 2 / ) A 2

82 E-1 F E-2 G A.1: Data No. D(mm) T ( C) H (%) W (%) Z (mm) d (mm) C (kg/m 3 ) X (mm) R (kωcm 2 ) r (mg/cm 2 / ) A 3

83 G D-2 A.1: Data No. D(mm) T ( C) H (%) W (%) Z (mm) d (mm) C (kg/m 3 ) X (mm) R (kωcm 2 ) r (mg/cm 2 / ) A 4

84 A.1: Data No. D(mm) T ( C) H (%) W (%) Z (mm) d (mm) C (kg/m 3 ) X (mm) R (kωcm 2 ) r (mg/cm 2 / ) D C-2 H-1 H A 5

85 H-2 H-3 A.1: Data No. D(mm) T ( C) H (%) W (%) Z (mm) d (mm) C (kg/m 3 ) X (mm) R (kωcm 2 ) r (mg/cm 2 / ) A 6

86 A.1: Data No. D(mm) T ( C) H (%) W (%) Z (mm) d (mm) C (kg/m 3 ) X (mm) R (kωcm 2 ) r (mg/cm 2 / ) H-3 H n( C-1) n A 7

87 B

88 B.1: No. Data No. R (kωcm 2 ) r (mg/cm 2 / ) 4-A 4-B 3-A 3-B 3-C 3-D 4-C 5-A 4-D 7-A 4-E B 2

89 B.1: 4-F 10-A 6-A 6-B 9-A 3-E 3-F 4-G B 3

90 B.1: 5-B 6-C B 4

91 C 1000

92 C.1 C.1: Data No. T ( C) W (%) C (kg/m 3 ) X (mm) Rs (kωcm 2 ) Rc (kωcm 2 ) rs (mg/cm 2 / ) rc (mg/cm 2 / ) C 2

93 C.1: Data No. T ( C) W (%) C (kg/m 3 ) X (mm) Rs (kωcm 2 ) Rc (kωcm 2 ) rs (mg/cm 2 / ) rc (mg/cm 2 / ) C 3

94 C.1: Data No. T ( C) W (%) C (kg/m 3 ) X (mm) Rs (kωcm 2 ) Rc (kωcm 2 ) rs (mg/cm 2 / ) rc (mg/cm 2 / ) C 4

95 C.1: Data No. T ( C) W (%) C (kg/m 3 ) X (mm) Rs (kωcm 2 ) Rc (kωcm 2 ) rs (mg/cm 2 / ) rc (mg/cm 2 / ) C 5

96 C.2 ( ) C.2: ( ) Data No. T ( C) W (%) C (kg/m 3 ) X (mm) Rs (kωcm 2 ) Rc (kωcm 2 ) rs (mg/cm 2 / ) rc (mg/cm 2 / ) C 6

97 C.2: ( ) C.3 ( ) C.3: ( ) Data No. T ( C) W (%) C (kg/m 3 ) X (mm) Rs (kωcm 2 ) Rc (kωcm 2 ) rs (mg/cm 2 / ) rc (mg/cm 2 / ) C 7

98 C.3: ( ) C 8

99 D

100 D.1: Data No. Rs (kωcm 2 ) rs (mg/cm 2 / ) Rc (kωcm 2 ) rc (mg/cm 2 / ) rc2 (mg/cm 2 / ) D 2

101 D.1: Data No. Rs (kωcm 2 ) rs (mg/cm 2 / ) Rc (kωcm 2 ) rc (mg/cm 2 / ) rc2 (mg/cm 2 / ) D 3

102 D.1: Data No. Rs (kωcm 2 ) rs (mg/cm 2 / ) Rc (kωcm 2 ) rc (mg/cm 2 / ) rc2 (mg/cm 2 / ) D 4

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