Browsing Mathematics by Title
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Accessing the cohomology of discrete groups above their virtual cohomological dimension
(2014)We introduce a method to explicitly determine the FarrellTate cohomology of discrete groups. We apply this method to the Coxeter triangle and tetrahedral groups as well as to the Bianchi groups, i.e. PSL_2 over the ring ... 
Acoustic waves at the interface of a prestressed incompressible elastic solid and a viscous fluid
(Elsevier, 20061110)We analyse the influence of prestress on the propagation of interfacial waves along the boundary of an incompressible hyperelastic halfspace that is in contact with a viscous fluid extending to infinity in the adjoining ... 
Analogues of Goldschmidt's thesis for fusion systems
(Elsevier, 20101215)We extend the results of David Goldschmidt's thesis concerning fusion in finite groups to saturated fusion systems and to all primes. 
Asymptotic results for bifurcations in pure bending of rubber blocks
(Oxford Journals, 200803)The bifurcation of an incompressible neoHookean thick block with a ratio of thickness to length n, subject to pure bending, is considered. The two incremental equilibrium equations corresponding to a nonlinear prebuckling ... 
At least three invariants are necessary to model the mechanical response of incompressible, transversely isotropic materials
(Springer, 20130418)The modelling of offaxis simple tension experiments on transversely isotropic nonlinearly elastic materials is considered. A testing protocol is proposed where normal force is applied to one edge of a rectangular specimen ... 
Automated estimation of collagen fibre dispersion in the dermis and its contribution to the anisotropic behaviour of skin
(Springer, 201208)Collagen fibres play an important role in the mechanical behaviour of many soft tissues. Modelling of such tissues now often incorporates a collagen fibre distribution. However, the availability of accurate structural data ... 
Bending instabilities of soft biological tissues
(Elsevier, 20091215)Rubber components and soft biological tissues are often subjected to large bending deformations while 'in service'. The circumferential line elements on the inner face of a bent block can contract up to a certain critical ... 
Bimodular rubber buckles early in bending
(Elsevier, 20091203)A block of rubber eventually buckles under severe flexure, and several axial wrinkles appear on the inner curved face of the bent block. Experimental measurements reveal that the buckling occurs earlier  at lower compressive ... 
BleusteinGulyaev waves in some functionally graded materials
(Elsevier, 20060228)Functionally Graded Materials are inhomogeneous elastic bodies whose properties vary continuously with space. Hence consider a halfspace (x2>0) occupied by a special Functionally Graded Material made of an hexagonal (6 ... 
The bosonic vertex operator algebra on a genus g Riemann surface
(201108)We discuss the partition function for the Heisenberg vertex operator algebra on a genus g Riemann surface formed by sewing handles to a Riemann sphere. In particular, it is shown how the partition can be computed by means ... 
A census of human soluble protein complexes
(Elsevier, 20120811)Cellular processes often depend on stable physical associations between proteins. Despite recent progress, knowledge of the composition of human protein complexes remains limited. To close this gap, we applied an integrative ... 
Characterising the anisotropic mechanical properties of excised human skin
(2012)The mechanical properties of skin are important for a number of applications including surgery, dermatology, impact biomechanics and forensic science. In this study, we have investigated the influence of location and ... 
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 ...