Mathematics (Scholarly Articles)
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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 ... 
Rivlin's legacy in continuum mechanics and applied mathematics
(The Royal Society, 20190318)Over a long and distinguished career, Ronald Rivlin (figure 1) published more than 200 scientific papers. He was a highly innovative scientist who made seminal contributions in all areas of continuum mechanics. He was one ... 
Tuning the pullin instability of soft dielectric elastomers through loading protocols
(Elsevier, 20190322)Pullin (or electromechanical) instability occurs when a drastic decrease in the thickness of a dielectric elastomer results in electrical breakdown, which limits the applications of dielectric devices. Here we derive the ... 
Wrinkles in soft dielectric plates
(Elsevier, 20180704)We show that a smooth giant voltage actuation of soft dielectric plates is not easily obtained in practice. In principle one can exploit, through predeformation, the snapthrough behavior of their loading curve to deliver ... 
Fine tuning the electromechanical response of dielectric elastomers
(AIP Publishing, 20181016)We propose a protocol to model accurately the electromechanical behavior of dielectric elastomer membranes using experimental data of stressstretch and voltagestretch tests. We show how the relationship between electric ... 
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 ... 
Finite bending and pattern evolution of the associated instability for a dielectric elastomer slab
(Elsevier, 20180921)We investigate the finite bending and the associated bending instability of an incompressible dielectric slab subject to a combination of applied voltage and axial compression, using nonlinear electroelasticity theory and ... 
Genus two partition and correlation functions for fermionic vertex operator superalgebras II
(20181018)We define and compute the continuous orbifold partition function and a generating function for all npoint correlation functions for the rank two free fermion vertex operator superalgebra on a genus two Riemann surface ... 
Genus two zhu theory for vertex operator algebras
(20161027)We consider correlation functions for a vertex operator algebra on a genus two Riemann surface formed by sewing two tori together. We describe a generalisation of genus one Zhu recursion where we express an arbitrary genus ... 
N=2 and N=4 subalgebras of super vertex operator algebras
(IOP Publishing, 20180110)We develop criteria to decide if an N=2 or N=4 super conformal algebra is a subalgebra of a super vertex operator algebra in general, and of a super lattice theory in particular. We give some specific examples. 
Zhu reduction for Jacobi npoint functions and applications
(20170623)We establish precise Zhu reduction formulas for Jacobi npoint functions which show the absence of any possible poles arising in these formulas. We then exploit this to produce results concerning the structure of strongly ... 
Genus two virasoro correlation functions for vertex operator algebras
(20161206)We consider all genus two correlation functions for the Virasoro vacuum descendants of a vertex operator algebra. These are described in terms of explicit generating functions that can be combinatorially expressed in terms ... 
Vertex algebras according to Isaac Newton
(IOP Publishing, 20170908)We give an introduction to vertex algebras using elementary forward difference methods originally due to Isaac Newton. 
Electromechanical response of a 3D nerve bundle model to mechanical loads leading to axonal injury
(Wiley, 20171121)Traumatic brain injuries and damage are major causes of death and disability. We propose a 3D fully coupled electromechanical model of a nerve bundle to investigate the electrophysiological impairments due to trauma at ... 
Modified multiplicative decomposition model for tissue growth: Beyond the initial stressfree state
(Elsevier, 20180519)The multiplicative decomposition model is widely employed for predicting residual stresses and morphologies of biological tissues due to growth. However, it relies on the assumption that the tissue is initially in a ... 
On the table of marks of a direct product of finite groups
(Elsevier, 20171228)We present a method for computing the table of marks of a direct product of finite groups. In contrast to the character table of a direct product of two finite groups, its table of marks is not simply the Kronecker product ... 
Estimating average attributable fractions with confidence intervals for cohort and case control studies
(SAGE Publications, 20160624)Chronic diseases tend to depend on a large number of risk factors, both environmental and genetic. Average attributable fractions were introduced by Eide and Gefeller as a way of partitioning overall disease burden into ... 
Wrinkles and creases in the bending, unbending and eversion of soft sectors
(The Royal Society, 20180323)We study what is clearly one of the most common modes of deformation found in nature, science and engineering, namely the large elastic bending of curved structures, as well as its inverse, unbending, which can be brought ... 
On the quiver presentation of the descent algebra of the symmetric group
(Elsevier, 20130318)We describe a presentation of the descent algebra of the symmetric group G(n) as a quiver with relations. This presentation arises from a new construction of the descent algebra as a homomorphic image of an algebra of ... 
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 ...