Browsing Mathematics (Scholarly Articles) by Title
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Deficiencies in numerical models of anisotropic nonlinearly elastic materials
(Springer, 201308)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, 201210)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, 200902)The classical flexure problem of nonlinear incompressible elasticity is revisited for elastic materials whose mechanical response is different in tension and compression  the socalled bimodular materials. The flexure ... 
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 ... 
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 ... 
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 ... 
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 ... 
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 ... 
Finiteamplitude inhomogeneous plane waves in a deformed MooneyRivlin material
(Oxford University Press, 2002)The propagation of finiteamplitude linearlypolarized inhomogeneous transverse plane waves is considered for a MooneyRivlin material maintained in a state of finite static homogeneous deformation. It is shown that such ... 
Finiteamplitude inhomogeneous plane waves of exponential type in incompressible elastic materials
(Kluwer Academic Publishers, 199905)It is proved that elliptically polarized finiteamplitude inhomogeneous plane waves may not propagate in an elastic material subject to the constraint of incompressibility. The waves considered are harmonic in time and ... 
Free Bosonic Vertex Operator Algebras on Genus Two Riemann Surfaces I
(2009)We define the partition and $n$point functions for a vertex operator algebra on a genus two Riemann surface formed by sewing two tori together. We obtain closed formulas for the genus two partition function for the ... 
Free Bosonic Vertex Operator Algebras on Genus Two Riemann Surfaces II
(2011)We continue our program to define and study $n$point correlation functions for a vertex operator algebra $V$ on a higher genus compact Riemann surface obtained by sewing surfaces of lower genus. Here we consider Riemann ...