Isotropic Material - Revision history

Nairnj at 21:50, 2 June 2015

2015-06-02T21:50:19Z

← Older revision		Revision as of 21:50, 2 June 2015
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	! Property !! Description !! Units !! Default		! Property !! Description !! Units !! Default
	\|-		\|-
	\| E \|\| Tensile modulus \|\| ~~MPa~~ \|\| none		\| E \|\| Tensile modulus \|\| [[ConsistentUnits Command#Legacy and Consistent Units\|pressure units]] \|\| none
	\|-		\|-
	\| G \|\| Shear modulus \|\| ~~MPa~~ \|\| none		\| G \|\| Shear modulus \|\| [[ConsistentUnits Command#Legacy and Consistent Units\|pressure units]] \|\| none
	\|-		\|-
	\| nu \|\| Poisson's ratio \|\| none \|\| none		\| nu \|\| Poisson's ratio \|\| none \|\| none

2015-03-16T19:00:51Z

Material Properties

← Older revision		Revision as of 19:00, 16 March 2015
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	\| alpha \|\| Thermal expansion coefficient \|\| ppm/K \|\| 40		\| alpha \|\| Thermal expansion coefficient \|\| ppm/K \|\| 40
	\|-		\|-
	\| ([[Common Material Properties\|other]]) \|\| Properties common to all materials \|\| varies \|\| varies		\| ([[Common Material Properties\|other]]) \|\| Properties common to all materials (but only allowed for MPM Calculations) \|\| varies \|\| varies
	\|}		\|}

2015-03-12T15:30:33Z

Material Properties

← Older revision		Revision as of 15:30, 12 March 2015
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	\| nu \|\| Poisson's ratio \|\| none \|\| none		\| nu \|\| Poisson's ratio \|\| none \|\| none
	\|-		\|-
	\| alpha \|\| Thermal expansion coefficient \|\| ppm/M \|\| 40		\| alpha \|\| Thermal expansion coefficient \|\| ppm/K \|\| 40
	\|-		\|-
	\| ([[Common Material Properties\|other]]) \|\| Properties common to all materials \|\| varies \|\| varies		\| ([[Common Material Properties\|other]]) \|\| Properties common to all materials \|\| varies \|\| varies

2014-05-07T18:14:11Z

Material Properties

← Older revision		Revision as of 18:14, 7 May 2014
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	<math> E = G\left({3\lambda + 2G \over \lambda + G}\right), \qquad G = G \qquad {\rm and} \qquad {\lambda\over 2(\lambda+G)}</math>		<math> E = G\left({3\lambda + 2G \over \lambda + G}\right), \qquad G = G \qquad {\rm and} \qquad \nu = {\lambda\over 2(\lambda+G)}</math>

	or given K and ν:		or given K and ν:

2014-01-06T18:31:48Z

Material Properties

← Older revision		Revision as of 18:31, 6 January 2014
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	\|-		\|-
	\| alpha \|\| Thermal expansion coefficient \|\| ppm/M \|\| 40		\| alpha \|\| Thermal expansion coefficient \|\| ppm/M \|\| 40
			\|-
			\| ([[Common Material Properties\|other]]) \|\| Properties common to all materials \|\| varies \|\| varies
	\|}		\|}

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	Other combinations are easily derived, but the above examples are the most common.		Other combinations are easily derived, but the above examples are the most common.

	~~The following properties are only allowed in MPM calculations:~~

	~~{\| class="wikitable"~~
	\|-
	~~! Property !! Description !! Units !! Default~~
	\|-
	~~\| beta \|\| Solvent expansion coefficient \|\| 1/(wt fraction) \|\| 0~~
	\|-
	~~\| D \|\| Solvent diffusion constant \|\| mm<sup>2</sup>/sec \|\| 0~~
	\|-
	~~\| kCond \|\| Thermal conductivity \|\| W/(m-K) \|\| 0~~
	\|-
	~~\| ([[Common Material Properties\|other]]) \|\| Properties common to all materials \|\| varies \|\| varies~~
	\|}

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

2013-12-31T22:10:11Z

Examples

2013-12-31T22:07:47Z

Examples

2013-12-28T08:39:26Z

Material Properties

← Older revision		Revision as of 08:39, 28 December 2013
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	== Material Properties ==		== Material Properties ==

	Although deformation properties of an isotropic [[Material Models\|MPM material]] (or [[FEA Material Models\|FEA material]]) can be defined by any two of λ, K, G, E, and ν, this material's properties can only be defined by specifying any two (and exactly two) of E, G, and ν. Those three and other properties for isotropic [[Material Models\|MPM material]] (or [[FEA Material Models\|FEA material]]) are:		Although deformation properties of an isotropic [[Material Models\|MPM material]] (or [[FEA Material Models\|FEA material]]) can be defined by any two of λ, K, G, E, and ν, this material's properties can only be defined by specifying any two (and exactly two) of E, G, and ν. Those three and other properties for this isotropic [[Material Models\|MPM material]] (or [[FEA Material Models\|FEA material]]) are:

	{\| class="wikitable"		{\| class="wikitable"

2013-09-19T06:18:25Z

Material Properties

← Older revision		Revision as of 06:18, 19 September 2013
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	<math> E = G\left({3\lambda + 2G \over \lambda + G}\right) \qquad {\rm and} \qquad G ~~= G~~</math>		<math> E = G\left({3\lambda + 2G \over \lambda + G}\right), \qquad G = G \qquad {\rm and} \qquad {\lambda\over 2(\lambda+G)}</math>

	or given K and ν:		or given K and ν:

2013-09-19T06:05:05Z

Material Properties

← Older revision		Revision as of 06:05, 19 September 2013
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	<math> E = {9KG \over G~~+3K~~} , \qquad G = G \qquad {\rm and} , \qquad \nu = {3K-2G\over 6K+2G}</math>		<math> E = {9KG \over 3K+G} , \qquad G = G \qquad {\rm and} , \qquad \nu = {3K-2G\over 6K+2G}</math>

	or given λ and G:		or given λ and G: