Browsing Mathematics (Scholarly Articles) 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. 
The annual GiG  Groups in Galway
(NUI Galway, 2015)The GiG (Groups in Galway) conference, and related activity, has been running annually since 1978 and is the longest running annual international mathematical conference on a special topic. It has its origin from the ... 
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 ... 
Catastrophic thinning of dielectric elastomers
(American Physical Society, 20170215)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 ... 
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 ... 
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 ... 
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 ... 
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 ...