Johnson-Cook Hardening - Revision history

Nairnj: /* Hardening Law Properties */

2019-08-14T22:26:31Z

Hardening Law Properties

← Older revision		Revision as of 22:26, 14 August 2019
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	\| n2jc \|\| Exponent on second rate-dependent term with D (n<sub>2</sub>). It is dimensionless		\| n2jc \|\| Exponent on second rate-dependent term with D (n<sub>2</sub>). It is dimensionless
	\|-		\|-
	\| ep0jc \|\| Reference strain rate (<math>\dot\varepsilon_p^0</math>) for reference yield stress in A. It has units [[ConsistentUnits Command#Legacy and Consistent Units\|1/time units]].		\| ep0jc \|\| Reference strain rate (<math>\dot\varepsilon_p^0</math>) for reference yield stress in A. It has units [[ConsistentUnits Command#Legacy and Consistent Units\|1/time units]]. (default is 1)
	\|-		\|-
	\| Tmjc \|\| The material's melting point (T<sub>m</sub>). Above this temperature the yield strength will be zero. It has units degree K.		\| Tmjc \|\| The material's melting point (T<sub>m</sub>). Above this temperature the yield strength will be zero. It has units degree K.

Nairnj at 22:25, 14 August 2019

2019-08-14T22:25:40Z

← Older revision		Revision as of 22:25, 14 August 2019
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	<math>\sigma_y = \left(A + B\alpha^n\right)\left(1 + C \ln {\dot\alpha\over \dot\varepsilon_p^0}		<math>\sigma_y = \left(A + B\alpha^n\right)\left(1 + C \ln {\dot\alpha\over \dot\varepsilon_p^0}
	+D \ln \left({\rm max}\left({\dot\alpha\over \dot\varepsilon_p^0},1\right)\right)^{n2}\right)\left(1-T_r^m\right)</math>		+D \ln \left({\rm max}\left({\dot\alpha\over \dot\varepsilon_p^0},1\right)\right)^{n_2}\right)\left(1-T_r^m\right)</math>

	where α is cumulative equivalent plastic strain, <math>\dot\alpha</math> is plastic strain rate, and the reduced temperature (T<sub>r</sub>) is given by:		where α is cumulative equivalent plastic strain, <math>\dot\alpha</math> is plastic strain rate, and the reduced temperature (T<sub>r</sub>) is given by:

Nairnj: /* Hardening Law Properties */

2019-08-14T22:25:29Z

Hardening Law Properties

← Older revision		Revision as of 22:25, 14 August 2019
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	\| Djc \|\| Coefficient for second rate-dependent term (D). It is dimensionless		\| Djc \|\| Coefficient for second rate-dependent term (D). It is dimensionless
	\|-		\|-
	\| n2jc \|\| Exponent on second rate-dependent term with D. It is dimensionless		\| n2jc \|\| Exponent on second rate-dependent term with D (n<sub>2</sub>). It is dimensionless
	\|-		\|-
	\| ep0jc \|\| Reference strain rate (<math>\dot\varepsilon_p^0</math>) for reference yield stress in A. It has units [[ConsistentUnits Command#Legacy and Consistent Units\|1/time units]].		\| ep0jc \|\| Reference strain rate (<math>\dot\varepsilon_p^0</math>) for reference yield stress in A. It has units [[ConsistentUnits Command#Legacy and Consistent Units\|1/time units]].

Nairnj: /* Hardening Law Properties */

2019-08-14T22:25:06Z

Hardening Law Properties

← Older revision		Revision as of 22:25, 14 August 2019
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	\| Djc \|\| Coefficient for second rate-dependent term (D). It is dimensionless		\| Djc \|\| Coefficient for second rate-dependent term (D). It is dimensionless
	\|-		\|-
	\| n2jc \|\| Exponent on second rate-dependent term with D.		\| n2jc \|\| Exponent on second rate-dependent term with D. It is dimensionless
	\|-		\|-
	\| ep0jc \|\| Reference strain rate (<math>\dot\varepsilon_p^0</math>) for reference yield stress in A. It has units [[ConsistentUnits Command#Legacy and Consistent Units\|1/time units]].		\| ep0jc \|\| Reference strain rate (<math>\dot\varepsilon_p^0</math>) for reference yield stress in A. It has units [[ConsistentUnits Command#Legacy and Consistent Units\|1/time units]].

Nairnj: /* Hardening Law Properties */

2019-08-14T22:19:58Z

Hardening Law Properties

← Older revision		Revision as of 22:19, 14 August 2019
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	\| Cjc \|\| Coefficient for rate-dependent term (C). It is dimensionless		\| Cjc \|\| Coefficient for rate-dependent term (C). It is dimensionless
	\|-		\|-
	\| Djc \|\| Coefficient for rate-dependent term (D). It is dimensionless		\| Djc \|\| Coefficient for second rate-dependent term (D). It is dimensionless
	\|-		\|-
	\| n2jc \|\| Exponent on rate dependent ~~terms~~ with D.		\| n2jc \|\| Exponent on second rate-dependent term with D.
	\|-		\|-
	\| ep0jc \|\| Reference strain rate (<math>\dot\varepsilon_p^0</math>) for reference yield stress in A. It has units [[ConsistentUnits Command#Legacy and Consistent Units\|1/time units]].		\| ep0jc \|\| Reference strain rate (<math>\dot\varepsilon_p^0</math>) for reference yield stress in A. It has units [[ConsistentUnits Command#Legacy and Consistent Units\|1/time units]].

Nairnj at 22:18, 14 August 2019

2019-08-14T22:18:58Z

← Older revision		Revision as of 22:18, 14 August 2019
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	<math>\sigma_y = \left(A + B\alpha^n\right)\left(1 + C \ln {\dot\alpha\over \dot\varepsilon_p^0}		<math>\sigma_y = \left(A + B\alpha^n\right)\left(1 + C \ln {\dot\alpha\over \dot\varepsilon_p^0}
	D \ln \left({\rm max}\left({\dot\alpha\over \dot\varepsilon_p^0},1\right)\right)^n\right)\left(1-T_r^m\right)</math>		+D \ln \left({\rm max}\left({\dot\alpha\over \dot\varepsilon_p^0},1\right)\right)^{n2}\right)\left(1-T_r^m\right)</math>

	where α is cumulative equivalent plastic strain, <math>\dot\alpha</math> is plastic strain rate, and the reduced temperature (T<sub>r</sub>) is given by:		where α is cumulative equivalent plastic strain, <math>\dot\alpha</math> is plastic strain rate, and the reduced temperature (T<sub>r</sub>) is given by:
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	== Hardening Law Properties ==		== Hardening Law Properties ==

	The material parameters in this [[Hardening Laws\|hardening law]] are defined by A, B, C, n, m, <math>\dot\varepsilon_p^0</math>, and T<sub>m</sub>.		The material parameters in this [[Hardening Laws\|hardening law]] are defined by A, B, C, D, n, n2, m, <math>\dot\varepsilon_p^0</math>, and T<sub>m</sub>.
	These parameters are set with the following properties:		These parameters are set with the following properties:

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	\|-		\|-
	\| Cjc \|\| Coefficient for rate-dependent term (C). It is dimensionless		\| Cjc \|\| Coefficient for rate-dependent term (C). It is dimensionless
			\|-
			\| Djc \|\| Coefficient for rate-dependent term (D). It is dimensionless
			\|-
			\| n2jc \|\| Exponent on rate dependent terms with D.
	\|-		\|-
	\| ep0jc \|\| Reference strain rate (<math>\dot\varepsilon_p^0</math>) for reference yield stress in A. It has units [[ConsistentUnits Command#Legacy and Consistent Units\|1/time units]].		\| ep0jc \|\| Reference strain rate (<math>\dot\varepsilon_p^0</math>) for reference yield stress in A. It has units [[ConsistentUnits Command#Legacy and Consistent Units\|1/time units]].

Nairnj at 22:17, 14 August 2019

2019-08-14T22:17:00Z

← Older revision		Revision as of 22:17, 14 August 2019
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	<math>\sigma_y = \left(A + B\alpha^n\right)\left(1 + C \ln {\dot\alpha\over \dot\varepsilon_p^0}\right)\left(1-T_r^m\right)</math>		<math>\sigma_y = \left(A + B\alpha^n\right)\left(1 + C \ln {\dot\alpha\over \dot\varepsilon_p^0}
			D \ln \left({\rm max}\left({\dot\alpha\over \dot\varepsilon_p^0},1\right)\right)^n\right)\left(1-T_r^m\right)</math>

	where α is cumulative equivalent plastic strain, <math>\dot\alpha</math> is plastic strain rate, and the reduced temperature (T<sub>r</sub>) is given by:		where α is cumulative equivalent plastic strain, <math>\dot\alpha</math> is plastic strain rate, and the reduced temperature (T<sub>r</sub>) is given by:

Nairnj at 22:43, 2 June 2015

2015-06-02T22:43:23Z

← Older revision		Revision as of 22:43, 2 June 2015
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	\| Cjc \|\| Coefficient for rate-dependent term (C). It is dimensionless		\| Cjc \|\| Coefficient for rate-dependent term (C). It is dimensionless
	\|-		\|-
	\| ep0jc \|\| Reference strain rate (<math>\dot\varepsilon_p^0</math>) for reference yield stress in A. It has units ~~sec<sup>-~~1</~~sup>~~.		\| ep0jc \|\| Reference strain rate (<math>\dot\varepsilon_p^0</math>) for reference yield stress in A. It has units [[ConsistentUnits Command#Legacy and Consistent Units\|1/time units]].
	\|-		\|-
	\| Tmjc \|\| The material's melting point (T<sub>m</sub>). Above this temperature the yield strength will be zero. It has units degree K.		\| Tmjc \|\| The material's melting point (T<sub>m</sub>). Above this temperature the yield strength will be zero. It has units degree K.

Nairnj at 21:52, 2 June 2015

2015-06-02T21:52:31Z

← Older revision		Revision as of 21:52, 2 June 2015
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	! Property !! Description		! Property !! Description
	\|-		\|-
	\| Ajc \|\| Parameter A and equal to the initial yield stress at the reference strain rate and the reference temperature. Enter in units ~~of MPa~~.		\| Ajc \|\| Parameter A and equal to the initial yield stress at the reference strain rate and the reference temperature. Enter in [[ConsistentUnits Command#Legacy and Consistent Units\|pressure units]].
	\|-		\|-
	\| Bjc \|\| The hardening term B. Enter in units ~~of MPa~~.		\| Bjc \|\| The hardening term B. Enter in [[ConsistentUnits Command#Legacy and Consistent Units\|pressure units]].
	\|-		\|-
	\| njc \|\| Exponent on cumulative equivalent plastic strain in hardening term (n). It is dimensionless.		\| njc \|\| Exponent on cumulative equivalent plastic strain in hardening term (n). It is dimensionless.

Nairnj: /* Hardening Law Properties */

2013-09-10T07:44:16Z

Hardening Law Properties

← Older revision		Revision as of 07:44, 10 September 2013
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	\|}		\|}

	The reference temperature, T<sub>0</sub>, is set using the simulation's [[stress free temperature]] and not set by using [[Hardening Laws\|hardening law]] properties.		The reference temperature, T<sub>0</sub>, is set using the simulation's [[Thermal Calculations#Stress Free Temperature\|stress free temperature]] and not set by using [[Hardening Laws\|hardening law]] properties.

	== History Data ==		== History Data ==