332
23 The Fluidity at the Finite Speed of Loading
U νλ = AA νλ + BB,
(23.11)
where A and B are some values that we will deem constant in the first approximation.
Due to Axiom 22.1, the values A and B being a part of the representation of
softening U νλ under formula (23.11) must satisfy the inequation
A + B > 1.
This condition must be taken into account when designing a shear resistance
operator.
References
1. I. Borodin, A. Maier, Y. Petrov, A. Gruzdkov, Maksimum predela tekuchesti pri kvazistaticheskoy i vysokoskorostnoy plasticheskoy deformatsii metallov [Maximum yield strength at
quasi-static and high-speed plastic deformation of metals]. Fizika tverdogo tela 56(12), 2384–
2393 (2014)
2. J. Campbell, K. Marsh, The effect of grain size on the delayed yielding of mild steel. J.
Theoretical, Experimental and Applied Physics. 7(78), 933–952 (1962)
3. T. Ekobori, Fizika i mekhanika razrusheniya i prochnosti tverdykh tel (Physics and mechanics
of fracture and strength of solids). (Metallurgiya Publ., Moscow, 1971)
4. J. Hendrickson, D. Wood, The effect of rate of stress application and temperature on the upper
yield stress of annealed mild steel. Trans. ASM. V. 50, 498–516 (1958)
5. A. Kottrell, Teoriya dislokatsii (Dislocation theory). (Mir Publ., Moscow, 1969)
6. Y. Rabotnov, Elementy nasledstvennoy mekhaniki tverdykh tel (Elements of hereditary mechanics of solids). (Nauka Publ., Moscow, 1977)
7. N. Selyutina, Razrusheniye i plasticheskoye deformirovaniye konstruktsionnykh materialov
pri udarno-volnovykh nagruzkakh (Destruction and plastic deformation of structural materials
under Shock-Wave loads). (SPbSU Publ., Sankt-Petersburg, 2016)
23 The Fluidity at the Finite Speed of Loading
U νλ = AA νλ + BB,
(23.11)
where A and B are some values that we will deem constant in the first approximation.
Due to Axiom 22.1, the values A and B being a part of the representation of
softening U νλ under formula (23.11) must satisfy the inequation
A + B > 1.
This condition must be taken into account when designing a shear resistance
operator.
References
1. I. Borodin, A. Maier, Y. Petrov, A. Gruzdkov, Maksimum predela tekuchesti pri kvazistaticheskoy i vysokoskorostnoy plasticheskoy deformatsii metallov [Maximum yield strength at
quasi-static and high-speed plastic deformation of metals]. Fizika tverdogo tela 56(12), 2384–
2393 (2014)
2. J. Campbell, K. Marsh, The effect of grain size on the delayed yielding of mild steel. J.
Theoretical, Experimental and Applied Physics. 7(78), 933–952 (1962)
3. T. Ekobori, Fizika i mekhanika razrusheniya i prochnosti tverdykh tel (Physics and mechanics
of fracture and strength of solids). (Metallurgiya Publ., Moscow, 1971)
4. J. Hendrickson, D. Wood, The effect of rate of stress application and temperature on the upper
yield stress of annealed mild steel. Trans. ASM. V. 50, 498–516 (1958)
5. A. Kottrell, Teoriya dislokatsii (Dislocation theory). (Mir Publ., Moscow, 1969)
6. Y. Rabotnov, Elementy nasledstvennoy mekhaniki tverdykh tel (Elements of hereditary mechanics of solids). (Nauka Publ., Moscow, 1977)
7. N. Selyutina, Razrusheniye i plasticheskoye deformirovaniye konstruktsionnykh materialov
pri udarno-volnovykh nagruzkakh (Destruction and plastic deformation of structural materials
under Shock-Wave loads). (SPbSU Publ., Sankt-Petersburg, 2016)