Browsing Mathematics by Title
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Scalar evolution equations for shear waves in incompressible solids: a simple derivation of the Z, ZK, KZK and KP equations
(The Royal Society, 20110708)We study the propagation of twodimensional finiteamplitude shear waves in a nonlinear prestrained incompressible solid, and derive several asymptotic amplitude equations in a simple, consistent and rigorous manner. The ... 
Seismic Rayleigh waves on an exponentially graded, orthotropic halfspace
(The Royal Society, 2007)Efforts at modelling the propagation of seismic waves in halfspaces with continuously varying properties have mostly been focused on shearhorizontal waves. Here, a sagittally polarized (Rayleigh type) wave travels along ... 
Selection shapes synonymous stop codon use in mammals
(Springer (part of Springer Nature), 20200702)Phylogenetic models of the evolution of proteincoding sequences can provide insights into the selection pressures that have shaped them. In the application of these models synonymous nucleotide substitutions, which do not ... 
Seminonnegative matrix factorization with global statistical consistency for collaborative filtering
(2009)[no abstract available] 
Shear instability in skin tissue
(Oxford University Press, 2013)We propose two toymodels to describe, predict and interpret the wrinkles appearing on the surface of skin when it is sheared. With the first model, we account for the lines of greatest tension present in human skin by ... 
Simple shear is not so simple
(201203)For homogeneous, isotropic, nonlinearly elastic materials, the form of the homogeneous deformation consistent with the application of a Cauchy shear stress is derived here for both compressible and incompressible materials. ... 
Simulation of quantum circuits by lowrank stabilizer decompositions
(Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften, 20190902)Recent work has explored using the stabilizer formalism to classically simulate quantum circuits containing a few nonClifford gates. The computational cost of such methods is directly related to the notion of s t a ... 
Slight compressibility and sensitivity to changes in Poisson's ratio
(2012)Finite element simulations of rubbers and biological soft tissue usually assume that the material being deformed is slightly compressible. It is shown here that, in shearing deformations, the corresponding normal stress ... 
Small amplitude waves and stability for a prestressed viscoelastic solid
(Springer, 2009)We study the propagation of small amplitude waves superimposed on a large static deformation in a nonlinear viscoelastic material of differential type. We use bulk waves and surface waves to address the questions of ... 
Solitary and compactlike shear waves in the bulk of solids
(American Physical Society, 200606)We show that a model proposed by Rubin, Rosenau and Gottlieb J. Appl. Phys. 77 4054 (1995) for dispersion caused by an inherent material characteristic length belongs to the class of simple materials. Therefore, it is ... 
Some design considerations for polymerfree drugeluting stents: a mathematical approach
(Elsevier (Science Direct), 2015)In this paper we provide the first model of drug elution from polymerfree arterial drugeluting stents. The generalised model is capable of predicting the drug release from a number of polymerfree systems including those ... 
Some Generalizations of the MacMahon Master Theorem
(2011)We consider a number of generalizations of the $\beta$extended MacMahon Master Theorem for a matrix. The generalizations are based on replacing permutations on multisets formed from matrix indices by partial permutations ... 
Some Irrational Generalised Moonshine from Orbifolds
(2002)We verify the Generalised Moonshine conjectures for some irrational modular functions for the Monster centralisers related to the HaradaNorton, Held, $M_{12}$ and $L_3(3)$ simple groups based on certain orbifolding ... 
Some results on finite amplitude elastic waves propagating in rotating media
(Springer, 200412)Two questions related to elastic motions are raised and addressed. First: in which theoretical framework can the equations of motion be written for an elastic halfspace put into uniform rotation? It is seen that nonlinear ... 
Sorec: social recommendation using probabilistic matrix factorization
(ACM, 2008)Data sparsity, scalability and prediction quality have been recognized as the three most crucial challenges that every collaborative filtering algorithm or recommender system confronts. Many existing approaches to recommender ... 
The speed of interfacial waves polarized in a symmetry plane
(Elsevier, 200601)The surfaceimpedance matrix method is used to study interfacial waves polarized in a plane of symmetry of anisotropic elastic materials. Although the corresponding Stroh polynomial is a quartic, it turns out to be ... 
Stability analysis of chargecontrolled soft dielectric plates
(Elsevier, 20200406)We examine the stability of a soft dielectric plate deformed by the coupled effects of a mechanical prestress applied on its lateral faces and an electric field applied through its thickness under charge control. The ... 
Stability analysis of chargecontrolled soft dielectric plates
(Elsevier, 20200406)We examine the stability of a soft dielectric plate deformed by the coupled effects of a mechanical prestress applied on its lateral faces and an electric field applied through its thickness under charge control. The ... 
Stoneley waves and interface stability for Bell materials in compression; comparison with rubber
(2005)Two semiinfinite bodies made of prestressed, homogeneous, Bellconstrained, hyperelastic materials are perfectly bonded along a plane interface. The halfspace have been subjected to finite pure homogeneous predeformations, ... 
Strain energy function for isotropic nonlinear elastic incompressible solids with linear finite strain response in shear and torsion
(Elsevier, 20160718)We find the strain energy function for isotropic incompressible solids exhibiting a linear relationship between shear stress and amount of shear, and between torque and amount of twist, when subject to large simple shear ...