Browsing Mathematics by Title
Now showing items 46-65 of 263
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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 ... -
Explicit secular equations for piezoacoustic surface waves: Rayleigh modes
(American Institute of Physics, 2005-09-06)The existence of a two-partial 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: Shear-horizontal modes
(AIP Publishing, 2005-09-06)The existence of a two-partial 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 resilience and dissipation in heterogeneous elasto-plastomeric crystals
(Royal Society of Chemistry, 2023-11-07)We present a microstructure-topology-based approach for designing macroscopic, heterogeneous soft materials that exhibit outstanding mechanical resilience and energy dissipation. We investigate a variety of geometric ... -
Extreme softness of brain matter in simple shear
(Elsevier, 2015-03-13)We show that porcine brain matter can be modelled accurately as a very soft rubber-like material using the Mooney-Rivlin strain energy function, up to strains as high as 60%. This result followed from simple shear experiments ... -
Fine tuning the electro-mechanical response of dielectric elastomers
(AIP Publishing, 2018-10-16)We propose a protocol to model accurately the electromechanical behavior of dielectric elastomer membranes using experimental data of stress-stretch and voltage-stretch 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 Mooney-Rivlin viscoelastic solids
(Elsevier, 2004-09)New exact solutions are exhibited within the framework of finite viscoelasticity. More precisely, the solutions correspond to finite-amplitude, transverse, linearly polarized, inhomogeneous motions superposed upon a finite ... -
Finite bending and pattern evolution of the associated instability for a dielectric elastomer slab
(Elsevier, 2018-09-21)We investigate the finite bending and the associated bending instability of an incompressible dielectric slab subject to a combination of applied voltage and axial compression, using nonlinear electro-elasticity theory and ... -
Finite-amplitude inhomogeneous plane waves in a deformed Mooney-Rivlin material
(Oxford University Press, 2002)The propagation of finite-amplitude linearly-polarized inhomogeneous transverse plane waves is considered for a Mooney-Rivlin material maintained in a state of finite static homogeneous deformation. It is shown that such ...