Browsing Mathematics (Scholarly Articles) by Title
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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 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 ... 
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 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 ... 
On the composition product of saturated fusion systems
(Elsevier, 201111)We say that a fusion system is the composition product of two subsystems if every morphism can be factored as a morphism in one fusion system followed by a morphism in the other. We establish a relationship between the ... 
On the equivariant Khomology of PSL_2 of the imaginary quadratic integers
(Association des Annales de l'Institut Fourier, 201609)We establish formulae for the part due to torsion of the equivariant $K$homology of all the Bianchi groups (PSL$_2$ of the imaginary quadratic integers), in terms of elementary numbertheoretic quantities. To achieve this, ... 
On the rectilinear shear of compressible and incompressible elastic slabs
(2010)We review some pseudoplanar deformations for the equations of incompressible isotropic nonlinear elasticity first introduced in 1985 by Rajagopal and Wineman. We extend this class of deformations to compressible isotropic ... 
On the third and fourthorder constants of incompressible isotropic elasticity.
(Acoustical Society of America, 20100425)Consider the constitutive law for an isotropic elastic solid with the strainenergy function expanded up to the fourth order in the strain and the stress up to the third order in the strain. The stressstrain relation can ... 
On the Torus degeneration of the genus two partition function
(World Scientific Publishing, 20130716)We consider the partition function of a general vertex operator algebra V on a genus two Riemann surface formed by sewing together two tori. We consider the nontrivial degeneration limit where one torus is pinched down ... 
Onset of nonlinearity in the elastic bending of blocks
(American Society of Mechanical Engineers, 20130125)The classical flexure problem of nonlinear incompressible elasticity is revisited assuming that the bending angle suffered by the block is specified instead of the usual applied moment. The general momentbending angle ... 
Phase behaviour of selfassembled monolayers controlled by tuning physisorbed and chemisorbed states: A latticemodel view
(American Institute of Physics, 20160407)The selfassembly of molecules on surfaces into 2D structures is important for the bottomup fabrication of functional nanomaterials, and the selfassembledstructure depends on the interplay between moleculemolecule ...