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On nonlinear universal relations in nonlinear elasticity

open access: yesZeitschrift für angewandte Mathematik und Physik, 2006
In the theory of nonlinear elasticity universal relations are relationships connecting the components of stress and deformation tensors that hold independently of the constitutive equation for the considered class (or sub-class) of materials. They are classified as linear or nonlinear according as the components of the stress appear linearly or ...
R. Bustamante, R. W. Ogden
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Elastic nonlinearity imaging

2009 Annual International Conference of the IEEE Engineering in Medicine and Biology Society, 2009
Previous work has demonstrated improved diagnostic performance of highly trained breast radiologists when provided with B-mode plus elastography images over B-mode images alone. In those studies we have observed that elasticity imaging can be difficult to perform if there is substantial motion of tissue out of the image plane.
Timothy J, Hall   +6 more
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Elastic nonlinearity of aerogels

Physical Review B, 1992
We have investigated the sound propagation in ${\mathrm{SiO}}_{2}$ aerogels and three types of organic aerogels: resorcinol formaldehyde, melamine formaldehyde, and vitreous carbon. The main parameter determining the sound velocity is the aerogel density; however, the bond strength and cross linking also influence the stiffness of these materials ...
, Gross, , Fricke, , Pekala, , Hrubesh
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A nonlinear observer for elastic robots

IEEE Journal on Robotics and Automation, 1988
Robot manipulators in which the joints exhibit a certain amount of elasticity are discussed. The model of such robots is highly nonlinear, and available techniques to build nonlinear observers generally do not apply. A procedure to construct approximate nonlinear observers is proposed that uses a recent approach to deriving observers based on geometric
Nicosia, Salvatore   +2 more
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Solitons in a Nonlinear Elastic Medium

Materials Science Forum, 1991
The influence of nonlinearity on shear horizontal elastic (bulk and surface) waves in crystals is considered on the basis of a nonlinear equation derived from a microscopic scalar model. The continuum limit is compared with the equation obtained in the framework of nonlinear elasticity theory.
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