Browsing School of Mathematics, Statistics and Applied Mathematics by Title
Now showing items 39-58 of 275
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Computations for Coxeter arrangements and Solomon's descent algebra: Groups of rank three and four
(Elsevier, 2012-06-03)In recent papers we have refined a conjecture of Lehrer and Solomon expressing the characters of a finite Coxeter group W afforded by the homogeneous components of its Orlik-Solomon algebra as sums of characters induced ... -
Computing the table of marks of a cyclic extension
(American Mathematical Society, 2012-02-24)The subgroup pattern of a finite group C is the table of marks of G together with a list of representatives of the conjugacy classes of subgroups of G. In this article we present an algorithm for the computation of the ... -
Creep, recovery, and waves in a nonlinear fiber-reinforced viscoelastic solid
(Society for Industrial and Applied Mathematics, 2007-10-10)We present a constitutive model capturing some of the experimentally observed features of soft biological tissues: nonlinear viscoelasticity, nonlinear elastic anisotropy, and nonlinear viscous anisotropy. For this model ... -
Deficiencies in numerical models of anisotropic nonlinearly elastic materials
(Springer, 2013-08)Incompressible nonlinearly hyperelastic materials are rarely simulated in finite element numerical experiments as being perfectly incompressible because of the numerical difficulties associated with globally satisfying ... -
Determination of friction coefficient in unconfined compression of brain tissue
(Elsevier, 2012-10)Unconfined compression tests are more convenient to perform on cylindrical samples of brain tissue than tensile tests in order to estimate mechanical properties of the brain tissue because they allow for homogeneous ... -
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 ...