Browsing School of Mathematics, Statistics and Applied Mathematics by Title
Now showing items 12-31 of 275
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At least three invariants are necessary to model the mechanical response of incompressible, transversely isotropic materials
(Springer, 2013-04-18)The modelling of off-axis 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, 2012-08)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 ... -
Bayesian Model Specification: Some problems related to model choice and calibration
(2011)In the development of Bayesian model specification for inference and prediction we focus on the conditional distributions p([theta],[beta]) and p(D[theta],[beta]), with data D and background assumptions [beta], and ... -
Bending control and stability of functionally graded dielectric elastomers
(Elsevier, 2021-01-18)A rectangular plate of dielectric elastomer exhibiting gradients of material properties through its thickness will deform inhomogeneously when a potential difference is applied to compliant electrodes on its major surfaces, ... -
Bending instabilities of soft biological tissues
(Elsevier, 2009-12-15)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, 2009-12-03)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 ... -
Bioassay models with natural mortality and random effects
(2011)In fitting dose-response models to entomological data it is often necessary to take account of natural mortality and/or overdispersion. The standard approach to handle natural mortality is to use Abbott¿s formula. Standard ... -
Bioassays with natural mortality: handling overdispersion using random effects
(2011)In fitting dose-response models to entomological data it is often necessary to take account of natural mortality and/or overdispersion. The standard approach to handle natural mortality is to use Abbott's formula (Abbott, ... -
Bleustein-Gulyaev waves in some functionally graded materials
(Elsevier, 2006-02-28)Functionally Graded Materials are inhomogeneous elastic bodies whose properties vary continuously with space. Hence consider a half-space (x2>0) occupied by a special Functionally Graded Material made of an hexagonal (6 ... -
The BMR freeness conjecture for the 2-reflection groups
(American Mathematical Society, 2016-10-12)We prove the freeness conjecture of Broue, Malle and Rouquier for the Hecke algebras associated to the primitive complex 2-reflection groups with a single conjugacy class of reflections. -
The bosonic vertex operator algebra on a genus g Riemann surface
(2011-08)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 ... -
Catastrophic thinning of dielectric elastomers
(American Physical Society, 2017-02-15)We provide an energetic insight into the catastrophic nature of thinning instability in soft electroactive elastomers. This phenomenon is a major obstacle to the development of giant actuators, yet it is neither completely ... -
Cell complexes database for the Bianchi groups
(NUI Galway, 2016-05-18)This is a database of quotients by Bianchi groups of two-dimensional cellular equivariant retracts of Hyperbolic three-space. The Bianchi groups SL(2, A), with A the ring of integers in the imaginary quadratic number field ... -
A census of human soluble protein complexes
(Elsevier, 2012-08-11)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 ax-ioms of ... -
Circularly-polarized plane waves in a deformed Hadamard material
(Elsevier, 2001-10-31)Small-amplitude 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 K-théorie de groupes de Bianchi par des modèles géométriques calculatoires
(Université de Grenoble / Universität Göttingen, 2010-10-15)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, 2014-06-19)We refine a conjecture by Lehrer and Solomon on the structure of the Orlik-Solomon 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 stab-penetration forces
(Elsevier, 2013-12)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 medico-legal situations. The main objective of ...