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Topic: Strain tensor

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	Strain tensor - Wikipedia, the free encyclopedia
		The strain tensor, ε, is a symmetric tensor used to quantify the strain of an object undergoing a small 3-dimensional deformation:
		(i ≠ j) are the shear strains, i.e.
		The deformation of an object is defined by a tensor field, i.e., this strain tensor is defined for every point of the object.
	en.wikipedia.org /wiki/Strain_tensor (615 words)

	Strain (materials science) - Wikipedia, the free encyclopedia
		In the case of geological action of the earth, if the release of stress through strain in rocks is sufficiently large, earthquakes may occur.
		Given that strain results in the deformation of a body, it can be measured by calculating the change in length of a line or by the change in angle between two lines (where these lines are theoretical constructs within the deformed body).
		Strain has no units of measure because in the formula the units of length are cancelled.
	en.wikipedia.org /wiki/Strain_(materials_science) (337 words)

	Stress (physics) - Wikipedia, the free encyclopedia
		Being a tensor, the stress has two directional components: one for force and one for plane orientation; in three dimensions these can be two forces within the plane of the area A, the shear components, and one force perpendicular to A, the normal component.
		Thus, in the case of a solid, the hydrostatic (or isostatic) pressure p is defined as one third of the trace of the tensor, i.e., the mean of the diagonal terms.
		As with force, stress cannot be measured directly but is usually inferred from measurements of strain and knowledge of elastic properties of the material.
	en.wikipedia.org /wiki/Stress_(physics) (2897 words)

	Large Deformation Mechanics
		ij is the Cauchy stress tensor, nj is the normal vector to the surface of the deformed configuration, and ds is the surface area in the deformed configuration.
		That is, the 1st Piola-Kirchoff stress tensor multiplied by the Green-Lagrange strain will not produce the same strain energy density result as the Cauchy stress multiplied by the small deformation strain tensor.
		This strain energy function is defined in terms of the small deformation strain tensor because for small deformations the Green-Lagrange strain tensor and the small deformation tensor are equivalent.
	www.engin.umich.edu /class/bme456/largedef/largedef.htm (2653 words)

	Mixed tensor: Facts and details from Encyclopedia Topic (Site not responding. Last check: 2007-10-08)
		In mathematics, a tensor is a certain kind of geometrical entity, or alternatively generalized quantity....
		Contravariant is a mathematical term with a precise definition in tensor analysis....
		At least one of the indices of a mixed tensor will be a subscript (covariant) and at least one of the indices will be a superscript (contravariant).
	www.absoluteastronomy.com /encyclopedia/m/mi/mixed_tensor.htm (346 words)

	9.2.1 The deformation or rate of strain tensor
		is called the deformation or rate of strain tensor since it represents deviations from rigid body motion.
		To provide a further interpretation of the strain tensor, consider the squared distance between two infinitesimally close material parcels of fluid
		Hence, equation (9.12) says that the rate of change of the infinitesimal distance separating the two parcels, as a fraction of the distance, is related to the relative position of the parcels through the strain tensor.
	www.gfdl.noaa.gov /~smg/MOM/web/guide_parent/s2node93.html (291 words)

	Blewitt
		Kreemer, C., G. Blewitt, W.C. Hammond, and M.F. Coolbaugh, A new strain rate model for the Great Basin and its application to tectonic and geodynamic studies, Eos Trans., AGU 85(47), Fall Meet.
		Hill, E., and G. Blewitt, Spatial variations in strain inferred by GPS across the Yucca Mountain region, southern Nevada, Eos Trans., AGU 85(47), Fall Meet.
		Blewitt, G., M. Coolbaugh, W. Holt, R. Bennett, J. Davis, A map of current tensor strain rate in the Basin and Range from GPS, EarthScope GreatBREAK Workshop Abstracts, Tahoe City, California, held June 21-23, 2004.
	www.nbmg.unr.edu /staff/geoff.htm (7052 words)

	[No title]
		Wert, J.A. Huang, X., Extended planar boundary inclinations in fcc single crystals and polycrystals subjected to plane strain deformation.
		F.; Leffers, T., Strain tensor development in a single grain in the bulk of a polycrystal under loading.
		Martins, R.V.; Lienert, U.; Margulies, L.; Pyzalla, A., Investigation of the strain distribution in an Al-MMC torsion sample using high energy synchrotron radiation.
	www.metals4d.dk /Publications.htm (3033 words)

	strain (Site not responding. Last check: 2007-10-08)
		draw or stretch tight strained sheets over bed.
		Liquid Tight Cord Grip Strain Relief Connector PG PG.
		Adductor Muscle stretched or overloaded beyond normal range Strain adductor
	strain.eros.waw.pl (1835 words)

	Publications of Michael J. Aziz
		Schiferl, "Activation Volume for Antimony Diffusion in Silicon and Implications for Strained Films", Appl.
		M.J. iz, "Questions and Answers on the Activation Strain", Materials Research Society Symposia Proceedings 321, 449 (1994).
		M.J. iz, P.C. Sabin and G.-Q. Lu, "The Activation Strain Tensor: Nonhydrostatic Stress Effects on Crystal Growth Kinetics", Physical Review B 44, 9812-9816 (1991).
	www.deas.harvard.edu /matsci/people/aziz/azizp1.html (4859 words)

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