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Material de apoio ao curso Hardening em Linux, elaborado pela Escola Superior de Redes, com o objetivo de abordar análise de ameaças, minimização de riscos e execução de atividades corretiva…Full description
Full description
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Material de apoio ao curso Hardening em Linux, elaborado pela Escola Superior de Redes, com o objetivo de abordar análise de ameaças, minimização de riscos e execução de atividades corretiva…Descrição completa
Material de apoio ao curso Hardening em Linux, elaborado pela Escola Superior de Redes, com o objetivo de abordar análise de ameaças, minimização de riscos e execução de atividades corretiva…Descrição completa
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Rehat
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Full description
Johnson-Cook Hardening From OSUPDOC OSUPDOCS S In the Johnson-Cook hardening law, the yield stress is given by
where α is cumul cumulativ ativee equivalent equivalent plastic strain,
is plastic plastic strain rate, rate , and the the reduced reduced temperature (Tr ) is given
by: by:
where T0 is the reference temperature, which is equal to the current stress free temperature. For more details see paper by Johnson and Cook. [1]
Hardening Law Properties The The mater materiial param para meters in this this harde hardeni ning ng law are defined defined by A, B, C, n, m, m,
, and Tm. These parameters are
set with the following properties: Prope rty
D e s cription
Ajc Ajc
Parameter A and equal to the initial yield stress at the reference strain rate and the reference temperature. Enter in units of MPa.
Bjc
The har harde den ning term erm B. En Enter ter in in units of of MPa. MPa.
njc njc
Exponen Exponentt on cumul cumulati ativ ve equi equivalen alentt plasti plasticc strai strain n in hardeni hardening ng term (n). (n). It is dim dimensionl ensionless. ess.
Cjc
Coeff Coefficien cientt for for rat rate-de e-depen pende den nt ter term m (C). (C). It is is dim dimensi ension onlless ess
ep0jc
Reference Reference strain strain rate (
Tmjc mjc
) for for reference reference yi yield stress stress in in A. It has has uni units sec-1.
The material's melting point (Tm). Above this temperature the yield strength will be zero. It has units degree K. Expon Exponen entt on reduced reduced tem temperat peratu ure th that defi defines th the temperat temperatu ure depen dependen dence ce of the the yi yield eld stress. stress.
The reference temperature, T0, is set using the simulation's stress free temperature and not set by using hardening hardening law properties. prop erties.
History Data This hardening law defines one history variable, which is stored as history variable #1. It stores the the cumulative equivalent plastic strain (absolute) defined as
where dε p is the incremental plastic strain tensor in one time step.
References 1. ↑ G. R. Johnson and W. H. Cook, "A constitutive model and data for metals subjected to large strains, high strain rates ad high temperatures," Proceedings of the 7th International Symposium on Ballistics, 541-547 (1983). Retrieved from "http://osupdocs.forestry.oregonstate.edu/index.php?title=JohnsonCook_Hardening&oldid=1013"
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