Browsing School of Mathematics, Statistics and Applied Mathematics by Title
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Characteristic classes of complexified bundles
(Summer School in Algebraic Topology: Sheaf theoretic methods in the theory of characteristic classes, 2007)We examine the topological characteristic cohomology classes of complexified vector bundles . In particular, all the classes coming from real vector bundles are computed. We use characteristic classes with the axioms of ... 
Circularlypolarized plane waves in a deformed Hadamard material
(Elsevier, 20011031)Smallamplitude inhomogeneous plane waves propagating in any direction in a homogeneously deformed Hadamard material are considered. Conditions for circular polarization are established. The analysis relies on the use of ... 
(Co)homologies et Kthéorie de groupes de Bianchi par des modèles géométriques calculatoires
(Université de Grenoble / Universität Göttingen, 20101015)Cette thèse consiste d'une étude de la géométrie d'une certaine classe de groupes arithmétiques, à travers d'une action propre sur un espace contractile. Nous calculons explicitement leur homologie de groupe, et leur ... 
A combined experimental and numerical study of stabpenetration forces
(Elsevier, 201312)The magnitude of force used in a stabbing incident can be difficult to quantify, although the estimate given by forensic pathologists is often seen as 'critical' evidence in medicolegal situations. The main objective of ... 
Compact travelling waves in viscoelastic solids
(IOP Science, 20090902)We introduce a model for nonlinear viscoelastic solids, for which travelling shear waves with compact support are possible. Using analytical and numerical methods, we investigate the general case of this model, and an ... 
Complexifiable characteristic classes
(Springer, 201401)We examine the topological characteristic cohomology classes of complexified vector bundles. In particular, all the classes coming from the real vector bundles underlying the complexification are determined. 
Compression instabilities of tissues with localized strain softening.
(World Scientific Publishing Company, 20100927)The stressstrain relationship of biological soft tissues affected by Marfan's syndrome is believed to be nonconvex. More specifically, Haughton and Merodio recently proposed a strain energy density leading to localized ... 
Computational Selection of Transcriptomics Experiments Improves GuiltbyAssociation Analyses
(PLos ONE, 20120807)The GuiltbyAssociation (GBA) principle, according to which genes with similar expression profiles are functionally associated, is widely applied for functional analyses using large heterogeneous collections of transcriptomics ... 
Creep, recovery, and waves in a nonlinear fiberreinforced viscoelastic solid
(Society for Industrial and Applied Mathematics, 20071010)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, 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 ... 
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 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 ... 
Elastic interface acoustic waves in twinned crystals
(Elsevier, 2003)A new type of interface acoustic waves (IAW) is presented, for singlecrystal orthotropic twins bonded symmetrically along a plane containing only one common crystallographic axis. The effective boundary conditions show ... 
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 ... 
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 ...