3,982 research outputs found

    On large bending deformations of transversely isotropic rectangular elastic blocks

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    In this paper we examine the classical problem of finite bending of a rectangular block of elastic material into a sector of a circular cylindrical tube in respect of compressible transversely isotropic elastic materials. More specifically, we consider the possible existence of isochoric solutions. In contrast to the corresponding problem for isotropic materials, for which such solutions do not exist for a compressible material, we determine conditions on the form of the strain-energy function for which isochoric solutions are possible. The results are illustrated for particular classes of energy function

    Aerodynamic measuring device Patent

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    Pressure probe for sensing ambient static air pressure

    An absence of a relationship between overt attention and emotional distortions to time: an eye-movement study

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    Emotional distortions to time are consistently reported in laboratory studies, however their underlying causes remain unclear. One suggestion is that emotion induced changes in attentional processes may contribute to emotional distortions to time. The current study tested this possibility by examining the relationship between eye-movement and perceptions of the duration of emotional events. Participants completed a verbal estimation task in which they estimated the duration of positively, negatively and neutrally valenced images from the International Affective Picture System images. Time to first fixation and dwell time were recorded throughout. The results showed no significant relationships between measures of eye-movement and measures of emotional distortion to time, despite the emotion manipulation successfully influencing the time before the participants first fixated on the to-be-timed stimulus. This suggests that for suprasecond intervals emotion induced changes in overt attention processing do not contribute towards emotional distortions to time

    Elastic cavitation, tube hollowing, and differential growth in plants and biological tissues

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    Elastic cavitation is a well-known physical process by which elastic materials under stress can open cavities. Usually, cavitation is induced by applied loads on the elastic body. However, growing materials may generate stresses in the absence of applied loads and could induce cavity opening. Here, we demonstrate the possibility of spontaneous growth-induced cavitation in elastic materials and consider the implications of this phenomenon to biological tissues and in particular to the problem of schizogenous aerenchyma formation

    Azimuthal shear of a transversely isotropic elastic solid

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    In this paper we study the problem of (plane strain) azimuthal shear of a circular cylindrical tube of incompressible transversely isotropic elastic material subject to finite deformation. The preferred direction associated with the transverse isotropy lies in the planes normal to the tube axis and is at an angle with the radial direction that depends only on the radius. For a general form of strain-energy function the considered deformation yields simple expressions for the azimuthal shear stress and the associated strong ellipticity condition in terms of the azimuthal shear strain. These apply for a sense of shear that is either “with” or “against” the preferred direction (anticlockwise and clockwise, respectively), so that material line elements locally in the preferred direction either extend or (at least initially) contract, respectively. For some specific strain-energy functions we then examine local loss of uniqueness of the shear stress–strain relationship and failure of ellipticity for the case of contraction and the dependence on the geometry of the preferred direction. In particular, for a reinforced neo-Hookean material, we obtain closed-form solutions that determine the domain of strong ellipticity in terms of the relationship between the shear strain and the angle (in general, a function of the radius) between the tangent to the preferred direction and the undeformed radial direction. It is shown, in particular, that as the magnitude of the applied shear stress increases then, after loss of ellipticity, there are two admissible values for the shear strain at certain radial locations. Absolutely stable deformations involve the lower magnitude value outside a certain radius and the higher magnitude value within this radius. The radius that separates the two values increases with increasing magnitude of the shear stress. The results are illustrated graphically for two specific forms of energy function
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