Browsing Mathematics (Scholarly Articles) by Title
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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 ... 
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 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 ... 
Third and fourthorder constants of incompressible soft solids and the acoustoelastic effect.
(Acoustical Society of America, 201002)Acoustoelasticity is concerned with the propagation of smallamplitude waves in deformed solids. Results previously established for the incremental elastodynamics of exact nonlinear elasticity are useful for the determination ... 
Torsion instability of soft solid cylinders
(Oxford Open Journals, 20131210)The application of pure torsion to a long and thin cylindrical rod is known to provoke a twisting instability, evolving from an initial kink to a knot. In the torsional parallelplate rheometry of stubby cylinders, the ... 
Torus Chiral nPoint Functions for Free Boson and Lattice Vertex Operator Algebras
(2002)We obtain explicit expressions for all genus one chiral npoint functions for free bosonic and lattice vertex operator algebras. We also consider the elliptic properties of these functions. 
Torus nPoint Functions for $\mathbb{R}$graded Vertex Operator Superalgebras and Continuous Fermion Orbifolds
(2007)We consider genus one npoint functions for a vertex operator superalgebra with a real grading. We compute all npoint functions for rank one and rank two fermion vertex operator superalgebras. In the rank two fermion case, ... 
Toward a predictive assessment of stabpenetration forces
(Lippincott, Williams & Wilkins, 201509)Collaborative research between the disciplines of forensic pathology and biomechanics was undertaken to investigate the hyperelastic properties of human skin, to determine the force required for sharp instrument penetration ... 
Transverse waves in nonlinearly elastic solids and the MilnePinney equation
(SAGE Journals, 20110817)We establish a connection between the general equations of nonlinear elastodynamics and the nonlinear ordinary differential equation of Pinney [Proc Amer Math Soc 1950; 1: 681]. As a starting point, we use the exact ...