Browsing School of Mathematics, Statistics and Applied Mathematics by Title
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Glauberman's and Thompson's theorems for fusion systems
(American Mathematical Society, 200902)We prove analogues of results of Glauberman and Thompson for fusion systems. As a corollary, we obtain a stronger form of Frobenius' theorem for fusion systems, applicable under the above assumptions and generalizing another ... 
Global and local tests to assess stationarity of Markov transition models
(Taylor & Francis, 20180209)We present global and local likelihoodbased tests to evaluate stationarity in transition models. Three motivational studies are considered. A simulation study was carried out to assess the performance of the proposed ... 
The gluing problem for some block fusion systems
(2010)We answer the gluing problem of blocks of finite groups (Linckelmann (2004) [7, 4.2]) for tame blocks and the principal pblock of PSL 3 ( p ) for p odd. In particular, we show that the gluing problem for the principal ... 
Guided waves in prestressed hyperelastic plates and tubes: Application to the ultrasound elastography of thinwalled soft materials
(Elsevier, 20170217)In vivo measurement of the mechanical properties of thinwalled soft tissues (e.g., mitral valve, artery and bladder) and in situ mechanical characterization of thinwalled artificial soft biomaterials in service are of ... 
A high rate tension device for characterizing brain tissue
(SAGE Journals, 20120308)The mechanical characterization of brain tissue at high loading velocities is vital for understanding and modeling traumatic brain injury. The most severe form of traumatic brain injury is diffuse axonal injury, which ... 
Higher torsion in the Abelianization of the full Bianchi groups
(Cambridge University Press (Cambridge Journals Online), 201309)Denote by Q(rootm), with m a squarefree positive integer, an imaginary quadratic number field, and by Om its ring of integers. The Bianchi groups are the groups SL2(Om). In the literature, so far there have been no ... 
The homological torsion of PSL_2 of the imaginary quadratic integers
(2013)The Bianchi groups are the groups (P)SL2 over a ring of integers in an imaginary quadratic number field. We reveal a correspondence between the homological torsion of the Bianchi groups and new geometric invariants, which ... 
Homology and Ktheory of the Bianchi groups
(2011)We reveal a correspondence between the homological torsion of the Bianchi groups and new geometric invariants, which are effectively computable thanks to their action on hyperbolic space. We use it to explicitly compute ... 
Hyperelastic and viscoelastic properties of brain tissue in tension
(ASME, 2012)Mechanical characterization of brain tissue at high loading velocities is particularly important for modelling Traumatic Brain Injury (TBI). During severe impact conditions, brain tissue experiences a mixture of compression, ... 
Improved mathematical and numerical modelling of dispersion of a solute from a continuous source
(2011)We present a refinement of a model due to Mondal and Mazumder [7] for dispersion of fine particles in an oscillatory turbulent flow. The model is based on the timedependent advectiondiffusion equation posed on a ... 
The incompressible limit in linear anisotropic elasticity, with applications to surface waves and elastostatics
(Elsevier, 2002)[no abstract available] 
Incremental equations for soft fibrous materials
(Springer, 2015)The general theory of nonlinear anisotropic elasticity is extended to describe smallamplitude motions and static deformations that can be superimposed on large prestrains of fibrereinforced solids. The linearised ... 
Incremental magnetoelastic deformations, with application to surface instability
(Springer, 200801)In this paper the equations governing the deformations of infinitesimal (incremental) disturbances superimposed on finite static deformation fields involving magnetic and elastic interactions are presented. The coupling ... 
An inductive approach to Coxeter arrangements and Solomon's descent algebra
(Springer Verlag, 20120720)In our recent paper (Douglass et al. arXiv: 1101.2075 (2011)), we claimed that both the group algebra of a finite Coxeter group W as well as the OrlikSolomon algebra of W can be decomposed into a sum of induced onedimensional ... 
Influence of initial residual stress on growth and pattern creation for a layered aorta
(Nature Research, 20190603)Residual stress is ubiquitous and indispensable in most biological and artificial materials, where it sustains and optimizes many biological and functional mechanisms. The theory of volume growth, starting from a stressfree ... 
Influence of preservation temperature on the measured mechanical properties of brain tissue
(Elsevier, 20130426)The large variability in experimentally measured mechanical properties of brain tissue is due to many factors including heterogeneity, anisotropy, age dependence and postmortem time. Moreover, differences in test protocols ... 
Inhomogeneous "longitudinal" circularlypolarized plane waves in anisotropic elastic crystals
(S. Hirzel verlag, Ingenta Connect, 2006)Conditions on the elastic stiffnesses of anisotropic crystals are derived such that circularly polarized longitudinal inhomogeneous plane waves with an isotropic slowness bivector may propagate for any given direction of ... 
Inhomogeneous "longitudinal" plane waves in a deformed elastic material
(Springer, 200501)By definition, a homogeneous isotropic compressible Hadamard material has the property that an infinitesimal longitudinal homogeneous plane wave may propagate in every direction when the material is maintained in a state ... 
Inhomogeneous deformation of brain tissue during tension tests
(Elsevier, 2012)Mechanical characterization of brain tissue has been investigated extensively by various research groups over the past 50 years. These properties are particularly important for modeling Traumatic Brain Injury (TBI). ... 
Inhomogeneous shear of orthotropic incompressible nonlinearly elastic solids: Singular solutions and biomechanical interpretation
(Elsevier, 2009)We present a detailed study of rectilinear shear deformation in the framework of orthotropic nonlinear elasticity, under Dirichlet and mixedboundary conditions. We take a slab made of a soft matrix, reinforced with two ...