Isotropic, Hyperelastic-Plastic Mie-Grüneisen Material - Revision history

Nairnj: /* Tension and Shear Response */

2021-01-02T08:28:04Z

Tension and Shear Response

← Older revision		Revision as of 08:28, 2 January 2021
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	<math>P = -\frac{U(J_{eff})}{dJ_{eff}}</math>		<math>P = -\frac{U(J_{eff})}{dJ_{eff}}</math>

	where ''J<sub>eff</sub>'' = ''J''/''J<sub>res</sub>'', where ''J<sub>res</sub>'' is the relative volume for free thermal expansion and ''U(J<sub>eff</sub>)'' is one of the three strain energy options defined for a [[Mooney Material]].		where ''J<sub>eff</sub>'' = ''J''/''J<sub>res</sub>'', where ''J<sub>res</sub>'' is the relative volume for free thermal expansion and ''U(J<sub>eff</sub>)'' is one of the three strain energy options defined for a [[Mooney Material]] where κ = ''K''<sub>0</sub>

	The shear stress is related to deviatoric strain by the material's shear modulus. The shear modulus is a constant (unless it is changed by a [[Hardening Laws\|hardening law]]).		The shear stress is related to deviatoric strain by the material's shear modulus. The shear modulus is a constant (unless it is changed by a [[Hardening Laws\|hardening law]]).

Nairnj: /* Tension and Shear Response */

2021-01-02T08:26:51Z

Tension and Shear Response

← Older revision		Revision as of 08:26, 2 January 2021
Line 29:		Line 29:


	<math>P = - \frac{U(J_{eff})}{dJ_{eff}</math>		<math>P = -\frac{U(J_{eff})}{dJ_{eff}}</math>

	where ''J<sub>eff</sub>'' = ''J''/''J<sub>res</sub>'', where ''J<sub>res</sub>'' is the relative volume for free thermal expansion and ''U(J<sub>eff</sub>)'' is one of the three strain energy options defined for a [[Mooney Material]].		where ''J<sub>eff</sub>'' = ''J''/''J<sub>res</sub>'', where ''J<sub>res</sub>'' is the relative volume for free thermal expansion and ''U(J<sub>eff</sub>)'' is one of the three strain energy options defined for a [[Mooney Material]].

Nairnj: /* Tension and Shear Response */

2021-01-02T08:26:32Z

Tension and Shear Response

← Older revision		Revision as of 08:26, 2 January 2021
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	<math>P = ~~K_0~~(J_{eff}-1)</math>		<math>P = - \frac{U(J_{eff})}{dJ_{eff}</math>

	where ''J<sub>eff</sub>'' = ''J''/''J<sub>res</sub>'', where ''J<sub>res</sub>'' is the relative volume for free thermal expansion.		where ''J<sub>eff</sub>'' = ''J''/''J<sub>res</sub>'', where ''J<sub>res</sub>'' is the relative volume for free thermal expansion and ''U(J<sub>eff</sub>)'' is one of the three strain energy options defined for a [[Mooney Material]].

	The shear stress is related to deviatoric strain by the material's shear modulus. The shear modulus is a constant (unless it is changed by a [[Hardening Laws\|hardening law]]).		The shear stress is related to deviatoric strain by the material's shear modulus. The shear modulus is a constant (unless it is changed by a [[Hardening Laws\|hardening law]]).

Nairnj: /* Material Properties */

2021-01-02T08:23:46Z

Material Properties

← Older revision		Revision as of 08:23, 2 January 2021
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	\| S3 \|\| The S<sub>3</sub> parameter \|\| none \|\| 0		\| S3 \|\| The S<sub>3</sub> parameter \|\| none \|\| 0
	\|-		\|-
	\| UJOption \|\| Set to 0, 1, or 2, to select the energy term for tensile loading from Mooney Material \|\| none \|\| 0		\| UJOption \|\| Set to 0, 1, or 2, to select the energy term for tensile loading from [[Mooney Material]] \|\| none \|\| 0
	\|-		\|-
	\| Kmax \|\| Maximum bulk modulus (relative to zero-pressure bulk modulus) allowed \|\| none \|\| -1		\| Kmax \|\| Maximum bulk modulus (relative to zero-pressure bulk modulus) allowed \|\| none \|\| -1

Nairnj: /* Material Properties */

2021-01-02T08:23:26Z

Material Properties

← Older revision		Revision as of 08:23, 2 January 2021
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	\|-		\|-
	\| S3 \|\| The S<sub>3</sub> parameter \|\| none \|\| 0		\| S3 \|\| The S<sub>3</sub> parameter \|\| none \|\| 0
			\|-
			\| UJOption \|\| Set to 0, 1, or 2, to select the energy term for tensile loading from Mooney Material \|\| none \|\| 0
	\|-		\|-
	\| Kmax \|\| Maximum bulk modulus (relative to zero-pressure bulk modulus) allowed \|\| none \|\| -1		\| Kmax \|\| Maximum bulk modulus (relative to zero-pressure bulk modulus) allowed \|\| none \|\| -1

Nairnj: /* Material Properties */

2019-08-20T21:51:49Z

Material Properties

← Older revision		Revision as of 21:51, 20 August 2019
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	\|}		\|}

	Note: The first time the relative bulk modulus exceeds <tt>Kmax</tt>, a warning is printed, modulus is limited, and calculations continue. The default value for <tt>Kmax</tt> is -1, which means to not limit the bulk modulus. This mode is almost always stable, but simulations with high compression should always add the [[AdjustTimeStep Custom Task]].		Note: The first time the relative bulk modulus exceeds <tt>Kmax</tt>, a warning is printed, modulus is limited, and calculations continue. The default value for <tt>Kmax</tt> is -1, which means to not limit the bulk modulus. This mode is almost always stable, but simulations with high compression should always add the [[AdjustTimeStep Custom Task]] to keep calculation stable under high tangent bulk modulus conditions.

	== History Variables ==		== History Variables ==

Nairnj: /* Material Properties */

2019-08-20T21:50:53Z

Material Properties

← Older revision		Revision as of 21:50, 20 August 2019
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	\| S3 \|\| The S<sub>3</sub> parameter \|\| none \|\| 0		\| S3 \|\| The S<sub>3</sub> parameter \|\| none \|\| 0
	\|-		\|-
	\| Kmax \|\| Maximum bulk modulus (relative to zero-pressure bulk modulus) allowed \|\| none \|\| 20		\| Kmax \|\| Maximum bulk modulus (relative to zero-pressure bulk modulus) allowed \|\| none \|\| -1
	\|-		\|-
	\| G (or G1) \|\| Low-strain shear modulus \|\| [[ConsistentUnits Command#Legacy and Consistent Units\|pressure units]] \|\| none		\| G (or G1) \|\| Low-strain shear modulus \|\| [[ConsistentUnits Command#Legacy and Consistent Units\|pressure units]] \|\| none
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	\|}		\|}

	Note: The first time the relative bulk modulus exceeds <tt>Kmax</tt>, a warning is printed, modulus is limited, and calculations continue. ~~If you enter~~ <tt>Kmax</tt> ~~higher than a peak value possible using the current S1~~, ~~S2, and S3 parameters, <tt>Kmax</tt> will be changed~~ to ~~match the peak. With this change~~ the bulk modulus ~~will never decrease at~~ high compression.		Note: The first time the relative bulk modulus exceeds <tt>Kmax</tt>, a warning is printed, modulus is limited, and calculations continue. The default value for <tt>Kmax</tt> is -1, which means to not limit the bulk modulus. This mode is almost always stable, but simulations with high compression should always add the [[AdjustTimeStep Custom Task]].

	== History Variables ==		== History Variables ==

Nairnj: /* Material Properties */

2016-07-25T16:57:12Z

Material Properties

← Older revision		Revision as of 16:57, 25 July 2016
Line 83:		Line 83:
	\|}		\|}

	Note: The first time the relative bulk modulus exceeds <tt>Kmax</tt>, a warning is printed, modulus is limited, and calculations continue. If you enter <tt>Kmax</tt> higher than a peak value possible using the current S1, S2, and S3 parameters, <tt>Kmax</tt> will be changed to match the peak. With this change the bulk modulus will never decrease at high compression~~. The truncation at <tt>Kmax</tt> is only implemented in [[OSParticulas]]~~.		Note: The first time the relative bulk modulus exceeds <tt>Kmax</tt>, a warning is printed, modulus is limited, and calculations continue. If you enter <tt>Kmax</tt> higher than a peak value possible using the current S1, S2, and S3 parameters, <tt>Kmax</tt> will be changed to match the peak. With this change the bulk modulus will never decrease at high compression.

	== History Variables ==		== History Variables ==

Nairnj: /* Material Properties */

2016-05-04T17:48:45Z

Material Properties

← Older revision		Revision as of 17:48, 4 May 2016
Line 71:		Line 71:
	\| S3 \|\| The S<sub>3</sub> parameter \|\| none \|\| 0		\| S3 \|\| The S<sub>3</sub> parameter \|\| none \|\| 0
	\|-		\|-
	\| Kmax \|\| Maximum bulk modulus (relative to zero-pressure bulk modulus) allowed ~~([[OSParticulas]] only)~~ \|\| none \|\| 20		\| Kmax \|\| Maximum bulk modulus (relative to zero-pressure bulk modulus) allowed \|\| none \|\| 20
	\|-		\|-
	\| G (or G1) \|\| Low-strain shear modulus \|\| [[ConsistentUnits Command#Legacy and Consistent Units\|pressure units]] \|\| none		\| G (or G1) \|\| Low-strain shear modulus \|\| [[ConsistentUnits Command#Legacy and Consistent Units\|pressure units]] \|\| none
Line 83:		Line 83:
	\|}		\|}

	Note: The first time the relative bulk modulus exceeds <tt>Kmax</tt>, a warning is printed, modulus is limited, and calculations continue. If you enter <tt>Kmax</tt> higher than a peak value possible using the current S1, S2, and S3 parameters, <tt>Kmax</tt> will be changed to match the peak. With this change the bulk modulus will never decrease at high compression.		Note: The first time the relative bulk modulus exceeds <tt>Kmax</tt>, a warning is printed, modulus is limited, and calculations continue. If you enter <tt>Kmax</tt> higher than a peak value possible using the current S1, S2, and S3 parameters, <tt>Kmax</tt> will be changed to match the peak. With this change the bulk modulus will never decrease at high compression. The truncation at <tt>Kmax</tt> is only implemented in [[OSParticulas]].

	== History Variables ==		== History Variables ==

Nairnj: /* Material Properties */

2016-05-04T17:47:48Z

Material Properties

← Older revision		Revision as of 17:47, 4 May 2016
Line 83:		Line 83:
	\|}		\|}

	Note: If you enter <tt>Kmax</tt> higher than a peak value using the current ~~parameter~~, <tt>Kmax</tt> will be changed to match the peak. With this change the bulk modulus will never decrease at high compression.		Note: The first time the relative bulk modulus exceeds <tt>Kmax</tt>, a warning is printed, modulus is limited, and calculations continue. If you enter <tt>Kmax</tt> higher than a peak value possible using the current S1, S2, and S3 parameters, <tt>Kmax</tt> will be changed to match the peak. With this change the bulk modulus will never decrease at high compression.

	== History Variables ==		== History Variables ==