Browsing School of Mathematics, Statistics and Applied Mathematics by Title
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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 ... 
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 ... 
Strain rate effects on the failure characteristics of excised human skin
(The 9th International Conference on the Mechanics of Time Dependent Materials, 2014)Skin is a complex, multilayered material which exhibits nonlinear, anisotropic and viscoelastic behaviour. Its structure is complex and can be broadly divided into three main layers: the epidermis, the dermis and ... 
The stress field in a pulled cork and some subtle points in the semiinverse method of nonlinear elasticity
(The Royal Society, 20071108)In an attempt to describe corkpulling, we model a cork as an incompressible rubberlike material and consider that it is subject to a helical shear deformation superimposed onto a shrink fit and a simple torsion. It turns ... 
The subgroup measuring the defect of the Abelianization of SL_2(Z[i])
(Springer, 20130210)There is a natural inclusion of SL2(Z) into SL2(Z[i]) , but it does not induce an injection of commutator factor groups (Abelianizations). In order to see where and how the 3 torsion of the Abelianization of SL2(Z) ... 
Surface acoustic waves in rotating orthorhombic crystals
(The Royal Society, 20040208)The propagation of surface (Rayleigh) waves over a rotating orthorhombic crystal is studied. The crystal possesses three crystallographic axes, normal to the symmetry planes: the half¿space is cut along a plane normal to ... 
Surface stability of nonlinear magnetoelastic solids
(Wiley, 200712)The present paper proposes to identify surface stability when a magnetoelastic halfspace is subjected to a pure homogeneous predeformation and to a magnetic field normal to its (plane) boundary. Clearly, the aim is to ... 
Surface waves and surface stability for prestretched, unconstrained, nonlinearly elastic halfspace
(Elsevier, 200906)An unconstrained, nonlinearly elastic, semiinfinite solid is maintained in a state of large static plane strain. A power¿law relation between the prestretches is assumed and it is shown that this assumption is well ... 
Surface waves in a deformed isotropic hyperelastic material subject to an isotropic internal constraint
(Elsevier, 2004)An isotropic elastic halfspace is prestrained so that two of the principal axes of strain lie in the bounding plane, which itself remains free of traction. The material is subject to an isotropic constraint of arbitrary ... 
Surface waves in a stretched and sheared incompressible elastic material
(2005)In this paper, we analyze the effect of a combined pure homogeneous strain and simple shear in a principal plane of the latter on the propagation of surface waves for an incompressible isotropic elastic halfspace whose ... 
Surface waves in deformed Bell materials
(2003)Small amplitude inhomogeneous plane waves are studied as they propagate on the free surface of a predeformed semiinfinite body made of Bell constrained material. The predeformation corresponds to a finite static pure ... 
Surface waves in orthotropic incompressible materials
(Acoustical Society of America, 20010417)The secular equation for surface acoustic waves propagating on an orthotropic incompressible halfspace is derived in a direct manner, using the method of first integrals. 
The Szegö Kernel on a Sewn Riemann Surface
(2010)We describe the Szegö kernel on a higher genus Riemann surface in terms of Szegö kernel data coming from lower genus surfaces via two explicit sewing procedures where either two Riemann surfaces are sewn together or a ... 
Tate's and Yoshida's theorems on control of transfer for fusion systems
(201003)We prove analogues of results of Tate and Yoshida on control of transfer for fusion systems. This requires the notions of pgroup residuals and transfer maps in cohomology for fusion systems. As a corollary, we obtain a ... 
Temperature effects on brain tissue in compression
(2012)Extensive research has been carried out for at least 50 years to understand the mechanical properties of brain tissue in order to understand the mechanisms of traumatic brain injury (TBI). The observed large variability ... 
Third and fourthorder elasticity of biological soft tissues
(Acoustical Society of America, 20100124)In the theory of weakly nonlinear elasticity, Hamilton et al. [J. Acoust. Soc. Am. 116, 4144 (2004)] identified W = I2+(A/3)I3+DI22 as the fourthorder expansion of the strainenergy density for incompressible isotropic ...