Browsing School of Mathematics, Statistics and Applied Mathematics by Title
Now showing items 44-63 of 275
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Differences in tension and compression in the nonlinearly elastic bending of beams
(Texas Digital Library, 2009-02)The classical flexure problem of non-linear incompressible elasticity is revisited for elastic materials whose mechanical response is different in tension and compression - the so-called bimodular materials. The flexure ... -
Diffusionrank: a possible penicillin for web spamming
(2007)While the PageRank algorithm has proven to be very effective for ranking Web pages, the rank scores of Web pages can be manipulated. To handle the manipulation problem and to cast a new insight on the Web structure, we ... -
Edge wrinkling in elastically supported pre-stressed incompressible isotropic plates
(The Royal Society Publishing, 2016-09-07)The equations governing the appearance of flexural static perturbations at the edge of a semi-infinite thin elastic isotropic plate, subjected to a state of homogeneous bi-axial pre-stress, are derived and solved. The plate ... -
The effect of an exterior electric field on the instability of dielectric plates
(The Royal Society, 2020-07-29)We investigate the theoretical nonlinear response, Hessian stability, and possible wrinkling behaviour of a voltage-activated dielectric plate immersed in a tank filled with silicone oil. Fixed rigid electrodes are placed ... -
Effects of nerve bundle geometry on neurotrauma evaluation
(Wiley, 2018-06-16)ObjectiveWe confirm that alteration of a neuron structure can induce abnormalities in signal propagation for nervous systems, as observed in brain damage. Here, we investigate the effects of geometrical changes and damage ... -
Elastic Cherenkov effects in transversely isotropic soft materials-I: Theoretical analysis, simulations and inverse method
(Elsevier, 2016-06-25)A body force concentrated at a point and moving at a high speed can induce shear-wave Mach cones in dusty-plasma crystals or soft materials, as observed experimentally and named the elastic Cherenkov effect (ECE). The ECE ... -
Elastic interface acoustic waves in twinned crystals
(Elsevier, 2003)A new type of interface acoustic waves (IAW) is presented, for single-crystal orthotropic twins bonded symmetrically along a plane containing only one common crystallographic axis. The effective boundary conditions show ... -
Electro-elastic Lamb waves in dielectric plates
(Elsevier, 2020-05-20)We study the propagation of Lamb waves in soft dielectric plates subject to mechanical and electrical loadings and find the explicit expressions for the dispersion equations in the cases of neo-Hookean and Gent dielectrics. ... -
Electro-mechanical response of a 3D nerve bundle model to mechanical loads leading to axonal injury
(Wiley, 2017-11-21)Traumatic brain injuries and damage are major causes of death and disability. We propose a 3D fully coupled electro-mechanical model of a nerve bundle to investigate the electrophysiological impairments due to trauma at ... -
Electro-mechanically guided growth and patterns
(Elsevier, 2020-07-01)Several experiments have demonstrated the existence of an electro-mechanical effect in many biological tissues and hydrogels, and its actual influence on growth, migration, and pattern formation. Here, to model these ... -
Electrostatically tunable axisymmetric vibrations of soft electro-active tubes
(Elsevier, 2020-05-28)Due to their unique electromechanical coupling properties, soft electro-active (SEA) resonators are actively tunable, extremely suitable, and practically important for designing the next-generation acoustic and vibration ... -
Electrothermal equivalent three-dimensional finite-element model of a single neuron
(Institute of Electrical and Electronics Engineers, 2017-09-14)Objective: We propose a novel approach for modelling the interdependence of electrical and mechanical phenomena in nervous cells, by using electrothermal equivalences in finite element (FE) analysis so that existing ... -
Emergence of instability-driven domains in soft stratified materials
(Nature Research, 2022-05-02)Nature frequently employs the buckling phenomenon to facilitate the formation of complicated patterns across length-scales. Current knowledge, however, is limited to a small set of buckling-induced microstructure transformations ... -
EndoCOM : Conception d un banc in vitro de simulation des anévrismes de l aorte abdominale
(2009)(FR) Le traitement des anévrismes de l'aorte abdominale par voie endovasculaire est aujourd'hui prédominant à plus de 65 % mais comporte encore des risques. Le suivi postopératoire devient alors crucial. Le projet de ... -
ENDOCOM: Abdominal aortic aneurysm test bench for in vitro simulation
(IEEE, 2007)An abdominal aortic aneurysm (AAA) is a dilatation of the aorta at the abdominal level, whose rupture is a life threatening complication. Recent treatment procedures of AAA consists in endovascular treatment with covered ... -
Estimating average attributable fractions with confidence intervals for cohort and case control studies
(SAGE Publications, 2016-06-24)Chronic diseases tend to depend on a large number of risk factors, both environmental and genetic. Average attributable fractions were introduced by Eide and Gefeller as a way of partitioning overall disease burden into ... -
Exceptional Vertex Operator Algebras and the Virasoro Algebra
(2008)We consider exceptional vertex operator algebras for which particular Casimir vectors constructed from the primary vectors of lowest conformal weight are Virasoro descendants of the vacuum. We discuss constraints on these ... -
Experimental characterisation of neural tissue at collision speeds
(International Research Council on Biomechanics of Injury (IRCOBI), 2012)Mechanical characterisation of brain tissue at high loading velocities is particularly important for modelling Traumatic Brain Injury (TBI). During severe impact conditions, brain tissue experiences a mixture of compression, ... -
Explicit secular equation for Scholte waves over a monoclinic crystal
(Elsevier, 2004)Scholte waves are acoustic waves propagating at a fluid/solid interface. They are localized in the neighborhood of the phase boundary in the sense that they decay exponentially in both directions along the normal to the ... -
The explicit secular equation for surface acoustic waves in monoclinic elastic crystals
(Acoustical Society of America, 2001-01-25)The secular equation for surface acoustic waves propagating on a monoclinic elastic half-space is derived in a direct manner, using the method of first integrals. Although the motion is at first assumed to correspond to ...