Coding gain - Revision history

2601:2:4D00:27B:C7D:48C0:2D67:6B1D: /* Bandwidth-limited regime */

2014-10-19T00:09:09Z

Bandwidth-limited regime

← Older revision		Revision as of 02:09, 19 October 2014
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	~~In [[linear elasticity]], the '''Lamé parameters''' are the two parameters~~		The author's title is Christy. It's not a typical factor but what I like doing is to climb but I don't have the time recently. Her family life in Alaska but her husband desires them to move. I am currently a journey agent.<br><br>Feel free to surf to my blog ... [http://www.publicpledge.com/blogs/post/7034 certified psychics]

	* λ, also called ''Lamé's ~~first parameter''~~
	* μ, the [[shear modulus]] or ''Lamé's ~~second parameter'' (also referred to as '''G''')~~

	~~In homogenous and [[isotropic]] materials, these satisfy [[Hooke's law]] in 3D,~~

	~~:<math>\sigma=2\mu \varepsilon +\lambda \; \mathrm{tr}(\varepsilon)~~I~~</math>~~

	~~where σ~~ is ~~the [[Stress (physics)\|stress]], ε the [[strain tensor]], <math>\scriptstyle~~ I~~</math> the [[identity matrix]] and <math>\scriptstyle\mathrm{tr}(\cdot)</math>~~ the ~~[[Trace (linear algebra)\|trace]] function~~.

	~~The first parameter λ is related~~ to ~~the bulk modulus and the shear modulus via~~ <~~math~~>~~K = \lambda + (2/3) \mu~~<~~/math~~> ~~in three-dimensions and <math>K = \lambda + \mu</math> for two-dimensional solids, and serves~~ to ~~simplify the stiffness matrix in Hooke's law~~.
	~~Although the shear modulus, μ, must be positive, the Lamé's first parameter, λ, can be negative, in principle; however, for most materials it is also positive~~. ~~The two parameters together constitute a parameterization of the elastic moduli for homogeneous isotropic media, popular in mathematical literature, and are thus related to the other elastic moduli~~.

	~~The parameters are named after~~ [~~[Gabriel Lamé]]~~.

	~~== References ==~~
	* K. ~~Feng, Z.-C. Shi, ''Mathematical Theory of Elastic Structures'', Springer New York, ISBN 0-387-51326-4, (1981)~~
	* G. Mavko, T. Mukerji, J. Dvorkin, ''The Rock Physics Handbook'', Cambridge University Press (paperback), ISBN 0-521-54344-4, (2003)


	~~{{Elastic moduli}}~~

	~~{{DEFAULTSORT:Lame parameters}}~~
	~~{{physics-stub}}~~

	~~[[Category:Elasticity (physics)]~~]

en>Addbot: Bot: Migrating 1 interwiki links, now provided by Wikidata on d:q1105671

2013-03-16T14:40:35Z

Bot: Migrating 1 interwiki links, now provided by Wikidata on d:q1105671

← Older revision		Revision as of 16:40, 16 March 2013
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	~~I would like to introduce myself to you~~, ~~I am Andrew and my spouse doesn~~'~~t like it at all. She is really fond of caving but she doesn~~'~~t have~~ the ~~time recently. Ohio is~~ where ~~his home~~ is and ~~his family members loves it~~. ~~Distributing manufacturing~~ is ~~how he tends~~ to ~~make a [http:~~//~~galab~~-~~work.cs.pusan.ac.kr/Sol09B/?document_srl=1489804 online psychic] residing.~~<br><br>~~Feel free~~ to ~~surf~~ to ~~my homepage: real~~ [~~http://www~~.~~publicpledge~~.~~com/blogs/post/7034 online psychic chat] readings~~ (~~[http://www~~.~~familysurvivalgroup~~.~~com/easy~~-~~methods~~-~~planting~~-~~looking~~-~~backyard/ familysurvivalgroup.com~~])		In [[linear elasticity]], the '''Lamé parameters''' are the two parameters

			* λ, also called ''Lamé's first parameter''
			* μ, the [[shear modulus]] or ''Lamé's second parameter'' (also referred to as '''G''')

			In homogenous and [[isotropic]] materials, these satisfy [[Hooke's law]] in 3D,

			:<math>\sigma=2\mu \varepsilon +\lambda \; \mathrm{tr}(\varepsilon)I</math>

			where σ is the [[Stress (physics)\|stress]], ε the [[strain tensor]], <math>\scriptstyle I</math> the [[identity matrix]] and <math>\scriptstyle\mathrm{tr}(\cdot)</math> the [[Trace (linear algebra)\|trace]] function.

			The first parameter λ is related to the bulk modulus and the shear modulus via <math>K = \lambda + (2/3) \mu</math> in three-dimensions and <math>K = \lambda + \mu</math> for two-dimensional solids, and serves to simplify the stiffness matrix in Hooke's law.
			Although the shear modulus, μ, must be positive, the Lamé's first parameter, λ, can be negative, in principle; however, for most materials it is also positive. The two parameters together constitute a parameterization of the elastic moduli for homogeneous isotropic media, popular in mathematical literature, and are thus related to the other elastic moduli.

			The parameters are named after [[Gabriel Lamé]].

			== References ==
			* K. Feng, Z.-C. Shi, ''Mathematical Theory of Elastic Structures'', Springer New York, ISBN 0-387-51326-4, (1981)
			* G. Mavko, T. Mukerji, J. Dvorkin, ''The Rock Physics Handbook'', Cambridge University Press (paperback), ISBN 0-521-54344-4, (2003)


			{{Elastic moduli}}

			{{DEFAULTSORT:Lame parameters}}
			{{physics-stub}}

			[[Category:Elasticity (physics)]]

en>Niceguyedc: BCH - Repairing links to disambiguation pages - You can help!

2011-10-27T04:04:02Z

BCH - Repairing links to disambiguation pages - You can help!

New page

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