Page 193 - The Effect of Hydrogen and Hydrides - ebook first test

Table 4-10: Strains (elastic solution) inside a spheroidal hydride precipitate (subscript ⊥( subscripts 11 in
Equation 4-77 to Equation 4-79)) refers to the direction of axis of rotation of the spheroid; i.e., the direction
along the semi-minor axis of length, c, whilst subscript ‖ ( subscripts 22 or 33 in Equation 4-77 to
Equation 4-79) refers to the direction along the semi-major axis of length, a. Part A: Values of hydride

transformation strains and taken from Table 2.1 in [Puls, 2012], derived assuming hydride forms via
‖
⊥

a pure lattice strain transformation. Part B: Values of strains are given by the fractional volume changes
⊥

T

listed in Table 2.1 of [Puls, 2012] with the values of the e . strains equal to zero. ( = 11 + 22 + ;

33
‖

= 11 + 22 + ; ≡ ; ≡ 22 = ).The reference states for the delta strains (e.g.,

33
11
33

‖

∆( − )) in each table part are those for which the delta strains are equal to zero.
IA. Hydride strains as a function of temperature- and composition-dependent hydride transformation strains:
pure lattice strain transformation strains.

T(C)   − ∆(  − ∆( ‖ ∆(


‖
‖
‖
⊥

 3  3 = / − ) − ) − − )
 3
(10 ) (10 )   (10 ) ‖
 3
(10 ) (10 ) (10 ) (10 ) (10 )
 3
 3
 3
 3
25 1.6 71.7 45.3 0.1 53.43 0 37.27 0 21.11 0
1
225 1.5 74.2 48.4 0.1 35.22 18.22 41.85 4.58 48.48 27.37
0
300 1.4 75.1 49.6 0.1 29.27 24.16 43.47 6.20 57.67 36.55
7
400 1.4 76.0 50.9 0.1 21.81 31.62 45.34 8.07 68.88 47.77
2
454 1.3 75.9 51.2 0.1 17.89 35.54 45.96 8.69 74.03 52.92
7
504 1.3 75.9 51.5 0.1 14.47 38.96 46.54 9.27 78.61 57.49
3
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IIA. Hydride strains as a function of temperature at constant hydrogen composition, elastic moduli* and aspect
ratio: pure lattice strain transformation strains
25 1.4 0.1 25.78 0 38.61 0 51.45 0
7 70.4 44.0
225 1.4 0.1 28.34 2.56 42.17 3.55 56.00 4.55
7 73.8 48.1
300 1.4 0.1 29.27 3.50 43.47 4.86 57.67 6.22
7 75.1 49.6
400 1.4 0.1 30.53 4.75 45.20 6.59 59.88 8.43
7 76.7 51.6
454 1.4 0.1 31.78 6.01 6.93 8.32 62.09 10.64
7 78.2 53.6
504 1.4 0.1 31.91 6.13 47.11 8.49 62.30 10.85
7 78.3 53.8
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