Magnetic resonance elastography (MRE) is an important new method used to measure the elasticity or stiffness of tissues in vivo. While there are many possible applications of MRE, breast cancer detection and classification is currently the most common. Several groups have been developing methods based on MR and ultrasound (US). MR or US is used to estimate the displacements produced by either q...

We determine the thermoelastic state caused by a plane axisymmetric temperature field and surface loads in multilayer hollow orthotropic cylinder with regard for dependences of physical mechanical characteristics on coordinates temperature. The thermoelasticity problem is reduced to solving systems integral-algebraic equations radial displacements. These are obtained from integral representatio...

the dynamic response of a transversely isotropic, linearly elastic layer bonded to the surface of a half-space of a different transversely isotropic material under arbitrary shape surface loads is considered. with the help of displacements and stresses green’s functions, an analytical formulation is presented for the determination of the displacements and stresses at any point in both surface l...

The problem considered here concerns the construction of a stochastic reduced-order model for dynamical structures having a high modal density in the low frequency range. The classical methods used for the low-frequency range to construct a reduced-order model are not adapted in this case. We then use a recently proposed method which consists in constructing a basis of the global displacements ...

We present a new formulation of some basic differential geometric notions on a smooth manifold M , in the setting of nonstandard analysis. In place of classical vector fields, for which one needs to construct the tangent bundle of M , we define a prevector field, which is an internal map from ∗M to itself, implementing the intuitive notion of vectors as infinitesimal displacements. We introduce...

We use Interferometric Synthetic Aperture Radar (InSAR) data to derive continuous maps for three orthogonal components of the co-seismic surface displacement field due to the 1999 Mw7.1 Hector Mine earthquake in southern California. Vertical and horizontal displacements are both predominantly antisymmetric with respect to the fault plane, consistent with predictions of linear elastic models of ...

We study the behavior of bundles of superconducting vortices when increasing the magnetic field using scanning tunneling microscopy and spectroscopy at 100 mK. Pinning centers are given by features on the surface corrugation. We find strong net vortex motion in a bundle towards a well-defined direction. We observe continuous changes of the vortex arrangements, and identify small displacements, ...

doubling the corresponding displacements for an infinite medium. The vertical component Uz is much disturbed by the free surface. (2) The SP wave has an appreciable amplitude comparable to that of P wave as pointed out for a point source case by KAWASAKI et al. (1973). Especially in such cases as shallow sources propagate upward, the SP wave becomes a remarkably marked phase. Hence, careful exa...

In this paper we review optical methods suitable to generate and to detect elastic waves in solids without any mechanical contact. The mechanisms underlying elastic wave generation by the impact of a pulsed laser beam are outlined. The principles of optical techniques able to detect surface displacements of amplitude less than one angstrom are described. Examples of applications in domains such...

Edge dislocations are characterised by columns of atoms in tension or in compression in a plane normal to the dislocation, above and below the slip plane. Such dislocations are conventionally viewed end-on at high resolution in transmission electron microscopes, because the tensile and compressive displacements are clearly visible. Screw dislocations are characterised by equivalent atoms in the...