Page 191 - The Effect of Hydrogen and Hydrides - ebook first test

Table 4-9: Stresses (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); = ( + 2 )/3 is the

‖
⊥
mean stress; ∆ ℎ is the hydride-matrix strain energy. 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 listed in Table 2.1
⊥
T
of [Puls, 2012] with the values of the e strains equal to zero.
‖
IA. Hydride stresses as a function of temperature- and composition-dependent hydride transformation strains:
pure lattice strain transformation strains.

T(C)  = /  (MPa)  (MPa) (MPa) ∆ (MJ/m )
3

‖
⊥
⊥
‖

25 1.61 0.0717 0.0453 0.1 1 297 7 260 5 273 375.4
225 1.50 0.0742 0.0484 0.1 1 037 5 806 4 216 319.6
300 1.47 0.0751 0.0496 0.1 953.2 5 339 3 887 300.6
400 1.42 0.0760 0.0509 0.1 847.4 4 744 3 445 273.7
454 1.37 0.0759 0.0512 0.1 788.8 4 411 3 204 255.9
504 1.33 0.0759 0.0515 0.1 738.0 4 123 2 995 240.3
© ANT International 2018
IIA. Hydride stresses as a function of temperature at constant hydrogen composition, elastic moduli* and
spheroidal aspect ratio: pure lattice strain transformation strains.
25 1.47 0.0704 0.0440 0.1 871.0 4 753 3 459 239.8
225 1.47 0.0738 0.0481 0.1 930.9 5 182 3 765 283.6
300 1.47 0.0751 0.0496 0.1 953.2 5 339 3 877 300.6
400 1.47 0.0767 0.0516 0.1 982.0 5 547 4 026 323.9

454 1.47 0.0782 0.0536 0.1 1 010 5 756 4 174 348.0
504 1.47 0.0783 0.0538 0.1 1 012 5 777 4 189 350.5
© ANT International 2018

IIIA. Hydride stresses as a function of temperature, hydrogen composition, elastic moduli and spheroidal aspect
ratio: pure lattice strain transformation strains.

25 1.61 0.0717 0.0453 0.1 –1 297 7 260 5 273 375.4
225 1.50 0.0742 0.0484 0.2 –1 887 5 560 4 335 339.3

300 1.47 0.0751 0.0496 0.3 –2 384 4 912 4 069 333.1
400 1.42 0.0760 0.0509 0.4 –2 603 4 202 3 669 312.7

454 1.37 0.0759 0.0512 0.5 –2 807 3 777 3 454 299.9
504 1.33 0.0759 0.0515 0.6 –2 933 3 423 3 260 287.6
© ANT International 2018

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