Transversely Isotropic Softening Material - Revision history

Nairnj: /* References */

2026-03-29T17:34:48Z

References

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	<ref name="dmref">J. A. Nairn, C. C. Hammerquist, and Y. E. Aimene, "Numerical Implementation of Anisotropic Damage Mechanics," Int. J. for Numerical Methods in Engineering, 112(12), 1846-1868 (2017). ([http://www.cof.orst.edu/cof/wse/faculty/Nairn/papers/MPMSoftening.pdf See PDF])</ref>		<ref name="dmref">J. A. Nairn, C. C. Hammerquist, and Y. E. Aimene, "Numerical Implementation of Anisotropic Damage Mechanics," Int. J. for Numerical Methods in Engineering, 112(12), 1846-1868 (2017). ([http://www.cof.orst.edu/cof/wse/faculty/Nairn/papers/MPMSoftening.pdf See PDF])</ref>

	<ref name="dmGen">J. A. Nairn, "Generalization of Anisotropic Damage Mechanics Modeling in the Material Point Method," ''Int. J. for Numerical Methods in Engineering'', '''123''', 5072-5097 (2022). ((https://www.cof.orst.edu/cof/wse/faculty/Nairn/papers/GenDamage.pdf See PDF])</ref>		<ref name="dmGen">J. A. Nairn, "Generalization of Anisotropic Damage Mechanics Modeling in the Material Point Method," ''Int. J. for Numerical Methods in Engineering'', '''123''', 5072-5097 (2022). ([https://www.cof.orst.edu/cof/wse/faculty/Nairn/papers/GenDamage.pdf See PDF])</ref>

	</references>		</references>

Nairnj: /* References */

2026-03-29T17:34:20Z

References

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	<references>		<references>

	<ref name="dmGen">J. A. Nairn, "Generalization of Anisotropic Damage Mechanics Modeling in the Material Point Method," ''Int. J. for Numerical Methods in Engineering'', '''123''', 5072-5097 (2022). (https://www.cof.orst.edu/cof/wse/faculty/Nairn/papers/GenDamage.pdf See PDF])</ref>		<ref name="dmref">J. A. Nairn, C. C. Hammerquist, and Y. E. Aimene, "Numerical Implementation of Anisotropic Damage Mechanics," Int. J. for Numerical Methods in Engineering, 112(12), 1846-1868 (2017). ([http://www.cof.orst.edu/cof/wse/faculty/Nairn/papers/MPMSoftening.pdf See PDF])</ref>

			<ref name="dmGen">J. A. Nairn, "Generalization of Anisotropic Damage Mechanics Modeling in the Material Point Method," ''Int. J. for Numerical Methods in Engineering'', '''123''', 5072-5097 (2022). ((https://www.cof.orst.edu/cof/wse/faculty/Nairn/papers/GenDamage.pdf See PDF])</ref>

	</references>		</references>

Nairnj: /* Constitutive Law */

2026-03-29T17:33:55Z

Constitutive Law

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	where '''C''' is stiffness tensor for the underlying transversely isotropic material and '''D''' is an anisotropic 4<sup>th</sup> rank damage tensor appropriate for damage in transversely isotropic materials, and <math>\mathbf{\varepsilon}_{res}</math> is any residual strain (such as thermal or solvent induced strains).		where '''C''' is stiffness tensor for the underlying transversely isotropic material and '''D''' is an anisotropic 4<sup>th</sup> rank damage tensor appropriate for damage in transversely isotropic materials, and <math>\mathbf{\varepsilon}_{res}</math> is any residual strain (such as thermal or solvent induced strains).

	The MPM implementation of softening isotropic materials is described in Nairn, Hammerquist, and Aimene<ref name="dmref">J. A. Nairn, C. C. Hammerquist, and Y. E. Aimene, "Numerical Implementation of Anisotropic Damage Mechanics," Int. J. for Numerical Methods in Engineering, 112(12), 1846-1868 (2017). [http://www.cof.orst.edu/cof/wse/faculty/Nairn/papers/MPMSoftening.pdf PDF]</~~ref~~> This extension to transversely isotropic ~~will be~~ in ~~a future publication~~.		The MPM implementation of softening isotropic materials is described in Nairn, Hammerquist, and Aimene<ref name="dmref"/> This extension to transversely isotropic is in Nairn.<ref name="dmGen"/>

	== Damage Process ==		== Damage Process ==

Nairnj: /* References */

2026-03-29T17:33:14Z

References

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	== References ==		== References ==

	<references/>		<references>

			<ref name="dmGen">J. A. Nairn, "Generalization of Anisotropic Damage Mechanics Modeling in the Material Point Method," ''Int. J. for Numerical Methods in Engineering'', '''123''', 5072-5097 (2022). (https://www.cof.orst.edu/cof/wse/faculty/Nairn/papers/GenDamage.pdf See PDF])</ref>

			</references>

Nairnj: /* Material Properties */

2024-04-18T02:28:29Z

Material Properties

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	\| coefVariation<br>wShape<br>wV0<br>statDistributionMode \|\| See the corresponding properties defined for an [[Isotropic Softening Material#Material Properties\|Isotropic softening material]]. \|\| \|\|		\| coefVariation<br>wShape<br>wV0<br>statDistributionMode \|\| See the corresponding properties defined for an [[Isotropic Softening Material#Material Properties\|Isotropic softening material]]. \|\| \|\|
	\|-		\|-
	\| coeff \|\| coefficient of friction for post-decohesion contact (default is 0 or frictionless~~) (experimental implementation in development in [[OSParticulas]] only~~) \|\| none \|\| 0		\| coeff \|\| coefficient of friction for post-decohesion contact (default is 0 or frictionless) \|\| none \|\| 0
	\|-		\|-
	\| ([[Common Material Properties\|other]]) \|\| Properties common to all materials \|\| varies \|\| varies		\| ([[Common Material Properties\|other]]) \|\| Properties common to all materials \|\| varies \|\| varies

Nairnj at 02:25, 18 April 2024

2024-04-18T02:25:29Z

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	== Constitutive Law ==		== Constitutive Law ==

	~~(This material is available only in [[OSParticulas]] because it is still in development)~~

	This [[Material Models#Softening Materials\|MPM softening material]] is a transversely isotropic, elastic material, but once it fails, it develops anisotropic damage and will become orthotropic. The constitutive law for this material is		This [[Material Models#Softening Materials\|MPM softening material]] is a transversely isotropic, elastic material, but once it fails, it develops anisotropic damage and will become orthotropic. The constitutive law for this material is

Nairnj: /* Constitutive Law */

2023-11-18T17:48:44Z

Constitutive Law

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	(This material is available only in [[OSParticulas]] because it is still in development)		(This material is available only in [[OSParticulas]] because it is still in development)

	This [[Material Models\|MPM ~~Material~~]] is a transversely isotropic, elastic material, but once it fails, it develops anisotropic damage and will become orthotropic. The constitutive law for this material is		This [[Material Models#Softening Materials\|MPM softening material]] is a transversely isotropic, elastic material, but once it fails, it develops anisotropic damage and will become orthotropic. The constitutive law for this material is

Nairnj: /* Deprecated Material Properties */

2023-01-31T04:15:52Z

Deprecated Material Properties

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	=== Deprecated Material Properties ===		=== Deprecated Material Properties ===

	Prior to the <tt>swapz</tt> material property, there were two types on transversely isotropic softening materials named "~~TransIsosoftening~~ 1" and "~~TransIsosoftening~~ 2". Although these can still be used as the material type, they are deprecated. The prior "~~TransIsosoftening~~ 1" is identical to this material with <tt>swapz=0</tt>. The prior "~~TransIsosoftening~~ 2" material is identical to this material with <tt>swapz=1</tt>.		Prior to the <tt>swapz</tt> material property, there were two types on transversely isotropic softening materials named "TransIsoSoftening 1" and "TransIsoSoftening 2". Although these can still be used as the material type, they are deprecated. The prior "TransIsoSoftening 1" is identical to this material with <tt>swapz=0</tt>. The prior "TransIsoSoftening 2" material is identical to this material with <tt>swapz=1</tt>.

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

Nairnj: /* Material Properties */

2023-01-31T02:00:01Z

Material Properties

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	\| ([[Common Material Properties\|other]]) \|\| Properties common to all materials \|\| varies \|\| varies		\| ([[Common Material Properties\|other]]) \|\| Properties common to all materials \|\| varies \|\| varies
	\|}		\|}

			=== Deprecated Material Properties ===

			Prior to the <tt>swapz</tt> material property, there were two types on transversely isotropic softening materials named "TransIsosoftening 1" and "TransIsosoftening 2". Although these can still be used as the material type, they are deprecated. The prior "TransIsosoftening 1" is identical to this material with <tt>swapz=0</tt>. The prior "TransIsosoftening 2" material is identical to this material with <tt>swapz=1</tt>.

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

Nairnj: /* Constitutive Law */

2023-01-31T01:47:52Z

Constitutive Law

← Older revision		Revision as of 01:47, 31 January 2023
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	The MPM implementation of softening isotropic materials is described in Nairn, Hammerquist, and Aimene<ref name="dmref">J. A. Nairn, C. C. Hammerquist, and Y. E. Aimene, "Numerical Implementation of Anisotropic Damage Mechanics," Int. J. for Numerical Methods in Engineering, 112(12), 1846-1868 (2017). [http://www.cof.orst.edu/cof/wse/faculty/Nairn/papers/MPMSoftening.pdf PDF]</ref> This extension to transversely isotropic will be in a future publication.		The MPM implementation of softening isotropic materials is described in Nairn, Hammerquist, and Aimene<ref name="dmref">J. A. Nairn, C. C. Hammerquist, and Y. E. Aimene, "Numerical Implementation of Anisotropic Damage Mechanics," Int. J. for Numerical Methods in Engineering, 112(12), 1846-1868 (2017). [http://www.cof.orst.edu/cof/wse/faculty/Nairn/papers/MPMSoftening.pdf PDF]</ref> This extension to transversely isotropic will be in a future publication.

	~~=== TransIsoSoftening 1 and 2 ===~~

	TransIsoSoftening 1 and TransIsoSoftening 2 give identical materials but with different initial orientations. TransIsoSoftening 1 has the unrotated axial direction along the z (or θ if axisymmetric) axis while TransIsoSoftening 2 has unrotated axial direction along the y (or Z if axisymmetric) axis. You can change the unrotated direction to any other orientation when defining material points by selecting rotation angles. For 2D analyses, the two options allow for axial direction in the x-y (or R-Z if axisymmetric) analysis plane (TransIsoSoftening 2) or normal to that plane (TransIsoSoftening 1). For 3D analyses, only TransIsoSoftening 1 is allowed (and it in the only one needed).

	== Damage Process ==		== Damage Process ==