Browsing Mathematics by Title
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(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 ... 
Cohomology of Coxeter arrangements and Solomon's descent algebra
(American Mathematical Society, 20140619)We refine a conjecture by Lehrer and Solomon on the structure of the OrlikSolomon algebra of a finite Coxeter group W and relate it to the descent algebra of W. As a result, we claim that both the group algebra of W and ... 
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 ... 
Computations for Coxeter arrangements and Solomon's descent algebra II: Groups of rank five and six
(Elsevier, 20130108)In recent papers we have refined a conjecture of Lehrer and Solomon expressing the character of a finite Coxeter group W acting on the graded components of its OrlikSolomon algebra as a sum of characters induced from ... 
Computations for Coxeter arrangements and Solomon's descent algebra III: Groups of rank seven and eight
(Elsevier, 20141106)In this paper we extend the computations in parts I and II of this series of papers and complete the proof of a conjecture of Lehrer and Solomon expressing the character of a finite Coxeter group W acting on the pth graded ... 
Computations for Coxeter arrangements and Solomon's descent algebra: Groups of rank three and four
(Elsevier, 20120603)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 OrlikSolomon algebra as sums of characters induced ... 
Computing the table of marks of a cyclic extension
(American Mathematical Society, 20120224)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 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 ... 
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 ...