Browsing Mathematics by Title
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NHDC and PHDC: Nonpropagating and propagating heat diffusion classifiers
(12th International Conference on Neural Information Processing, 2005)Abstract  By imitating the way that heat flows in a medium with a geometric structure, we propose two novel classification algorithms, Nonpropagating Heat Diffusion Classifier (NHDC) and Propagating Heat Diffusion ... 
Noninvasive evaluation of skin tension lines with elastic waves
(Wiley, 20171120)Background: Since their discovery by Karl Langer in the 19th Century, Skin Tension Lines (STLs) have been used by surgeons to decide the location and orientation of an incision. Although these lines are patientspecific, ... 
Nonprincipal surface waves in deformed incompressible materials
(Elsevier, 2005)The Stroh formalism is applied to the analysis of infinitesimal surface wave propagation in a statically, finitely and homogeneously deformed isotropic halfspace. The free surface is assumed to coincide with one of the ... 
Nonlinear correction to the Euler buckling formula for compressed cylinders with guidedguided end conditions
(Springer, 201102)Euler's celebrated buckling formula gives the critical load N for the buckling of a slender cylindrical column with radius B and length L as N/([pi]^3 B^2 )=(E/4)(B/L)^2, where E is Young's modulus. Its derivation relies ... 
Nonlinear Euler buckling
(Royal Society Publishing, 200811)The buckling of hyperelastic incompressible cylindrical tubes of arbitrary length and thickness under compressive axial load is considered within the framework of nonlinear elasticity. Analytical and numerical methods for ... 
Nonlinear transverse waves in deformed dispersive solids
(Elsevier, 2008)We present a phenomenological approach to dispersion in nonlinear elasticity. A simple, thermomechanically sound, constitutive model is proposed to describe the (nondissipative) properties of a hyperelastic dispersive ... 
A note about waves in dissipative and dispersive solids
(World Scientific, 2008)We study shear waves propagating in a special viscoelastic model proposed first by Fosdick and Yu in 1996. We deduce an asymptotic approximation which reduces the full balance equations to a system of evolution equations ... 
A note on element centralizers in finite Coxeter groups
(De Gruyter, 20110829)The normalizer NW(WJ) of a standard parabolic subgroup WJ of a finite Coxeter group W splits over the parabolic subgroup with complement NJ consisting of certain minimal length coset representatives of WJ in W. In ... 
Oblique wrinkles
(The Royal Society Publishing, 20170403)We prove theoretically that when a soft solid is subjected to an extreme deformation, wrinkles can form on its surface at an angle that is oblique to a principal direction of stretch. These oblique wrinkles occur for a ... 
On a question of Serre
(2012)Consider an imaginary quadratic number field Q(root m), with m a squarefree positive integer, and its ring of integers {O} . The Bianchi groups are the groups SL2{O}. Further consider the BorelSerre compactification [7] ... 
On anisotropic elasticity and questions concerning its Finite Element implementation
(Springer, 20130521)We give conditions on the strainenergy function of nonlinear anisotropic hyperelastic materials that ensure compatibility with the classical linear theories of anisotropic elasticity. We uncover the limitations associated ... 
On deforming a sector of a circular cylindrical tube into an intact tube: Existence, uniqueness, and stability
(Elsevier, 201011)Within the context of finite deformation elasticity theory the problem of deforming an open sector of a thickwalled circular cylindrical tube into a complete circular cylindrical tube is analyzed. The analysis provides a ... 
On Genus Two Riemann Surfaces Formed from Sewn Tori
(2006)We describe the period matrix and other data on a higher genus Riemann surface in terms of data coming from lower genus surfaces via an explicit sewing procedure. We consider in detail the construction of a genus two Riemann ... 
On Level One Cuspidal Bianchi Modular Forms
(2013)In this paper, we present the outcome of vast computer calculations, locating several of the very rare instances of level one cuspidal Bianchi modular forms that are not lifts of elliptic modular forms. 
On magnetoacoustic waves in finitely deformed elastic solids
(SAGE Journals, 2011)In this paper, in the context of the quasimagnetostatic approximation, we examine incremental motions superimposed on a static finite deformation of a magnetoelastic material in the presence of an applied magnetic field. ... 
On reflection subgroups of finite Coxeter groups
(Taylor & Francis, 20130614)Let W be a finite Coxeter group. We classify the reflection subgroups of W up to conjugacy and give necessary and sufficient conditions for the map that assigns to a reflection subgroup R of W the conjugacy class of its ... 
On residual stresses and homeostasis: an elastic theory of functional adaptation in living matter
(Nature Publishing Group, 20160426)Living matter can functionally adapt to external physical factors by developing internal tensions, easily revealed by cutting experiments. Nonetheless, residual stresses intrinsically have a complex spatial distribution, ... 
On stressdependent elastic moduli and wave speeds
(Oxford University Press, 2013)On the basis of the general nonlinear theory of a hyperelastic material with initial stress, initially without consideration of the origin of the initial stress, we determine explicit expressions for the stressdependent ... 
On stressdependent elastic moduli and wave speeds
(Oxford Journals, 20120330)On the basis of the general nonlinear theory of a hyperelastic material with initial stress, initially without consideration of the origin of the initial stress, we determine explicit expressions for the stressdependent ... 
On the Abaqus FEA model of finite viscoelasticity
(American Chemical Society, 200905)Predictions of the QLV (QuasiLinear Viscoelastic) constitutive law are compared with those of the ABAQUS viscoelastic model for two simple motions in order to highlight, in particular, their very different dissipation ...