Browsing Mathematics (Scholarly Articles) by Title
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Edge wrinkling in elastically supported prestressed incompressible isotropic plates
(The Royal Society Publishing, 20160907)The equations governing the appearance of flexural static perturbations at the edge of a semiinfinite thin elastic isotropic plate, subjected to a state of homogeneous biaxial prestress, are derived and solved. The plate ... 
The effect of an exterior electric field on the instability of dielectric plates
(The Royal Society, 20200729)We investigate the theoretical nonlinear response, Hessian stability, and possible wrinkling behaviour of a voltageactivated dielectric plate immersed in a tank filled with silicone oil. Fixed rigid electrodes are placed ... 
Effects of nerve bundle geometry on neurotrauma evaluation
(Wiley, 20180616)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 materialsI: Theoretical analysis, simulations and inverse method
(Elsevier, 20160625)A body force concentrated at a point and moving at a high speed can induce shearwave Mach cones in dustyplasma crystals or soft materials, as observed experimentally and named the elastic Cherenkov effect (ECE). The ECE ... 
Electroelastic Lamb waves in dielectric plates
(Elsevier, 20200520)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 neoHookean and Gent dielectrics. ... 
Electromechanical response of a 3D nerve bundle model to mechanical loads leading to axonal injury
(Wiley, 20171121)Traumatic brain injuries and damage are major causes of death and disability. We propose a 3D fully coupled electromechanical model of a nerve bundle to investigate the electrophysiological impairments due to trauma at ... 
Electromechanically guided growth and patterns
(Elsevier, 20200701)Several experiments have demonstrated the existence of an electromechanical 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 electroactive tubes
(Elsevier, 20200528)Due to their unique electromechanical coupling properties, soft electroactive (SEA) resonators are actively tunable, extremely suitable, and practically important for designing the nextgeneration acoustic and vibration ... 
Electrothermal equivalent threedimensional finiteelement model of a single neuron
(Institute of Electrical and Electronics Engineers, 20170914)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 ... 
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 ... 
Estimating average attributable fractions with confidence intervals for cohort and case control studies
(SAGE Publications, 20160624)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 ... 
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, 20010125)The secular equation for surface acoustic waves propagating on a monoclinic elastic halfspace is derived in a direct manner, using the method of first integrals. Although the motion is at first assumed to correspond to ... 
Explicit secular equations for piezoacoustic surface waves: Rayleigh modes
(American Institute of Physics, 20050906)The existence of a twopartial Rayleigh wave coupled to an electrical field in 2 mm piezoelectric crystals is known but has rarely been investigated analytically. It turns out that the Z cut X propagation problem can be ... 
Explicit secular equations for piezoacoustic surface waves: Shearhorizontal modes
(AIP Publishing, 20050906)The existence of a twopartial Rayleigh wave coupled to an electrical field in 2 mm piezoelectric crystals is known but has rarely been investigated analytically. It turns out that the Z cut X propagation problem can be ... 
Extreme softness of brain matter in simple shear
(Elsevier, 20150313)We show that porcine brain matter can be modelled accurately as a very soft rubberlike material using the MooneyRivlin strain energy function, up to strains as high as 60%. This result followed from simple shear experiments ... 
Fine tuning the electromechanical response of dielectric elastomers
(AIP Publishing, 20181016)We propose a protocol to model accurately the electromechanical behavior of dielectric elastomer membranes using experimental data of stressstretch and voltagestretch tests. We show how the relationship between electric ... 
Finite amplitude elastic waves propagating in compressible solids
(2005)The paper studies the interaction of a longitudinal wave with transverse waves in general isotropic and unconstrained hyperelastic materials, including the possibility of dissipation. The dissipative term chosen is similar ... 
Finite amplitude inhomogeneous waves in MooneyRivlin viscoelastic solids
(Elsevier, 200409)New exact solutions are exhibited within the framework of finite viscoelasticity. More precisely, the solutions correspond to finiteamplitude, transverse, linearly polarized, inhomogeneous motions superposed upon a finite ...