Browsing Mathematics (Scholarly Articles) by Issue Date
Now showing items 61-80 of 228
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Small amplitude waves and stability for a pre-stressed 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 ... -
Free Bosonic Vertex Operator Algebras on Genus Two Riemann Surfaces I
(2009)We define the partition and $n$-point functions for a vertex operator algebra on a genus two Riemann surface formed by sewing two tori together. We obtain closed formulas for the genus two partition function for the ... -
Vertex Operators and Modular Forms
(2009)The leitmotif of these Notes is the idea of a vertex operator algebra (VOA) and the relationship between VOAs and elliptic functions and modular forms. This is to some extent analogous to the relationship between a finite ... -
Differences in tension and compression in the nonlinearly elastic bending of beams
(Texas Digital Library, 2009-02)The classical flexure problem of non-linear incompressible elasticity is revisited for elastic materials whose mechanical response is different in tension and compression - the so-called bimodular materials. The flexure ... -
Glauberman's and Thompson's theorems for fusion systems
(American Mathematical Society, 2009-02)We prove analogues of results of Glauberman and Thompson for fusion systems. As a corollary, we obtain a stronger form of Frobenius' theorem for fusion systems, applicable under the above assumptions and generalizing another ... -
On the Abaqus FEA model of finite viscoelasticity
(American Chemical Society, 2009-05)Predictions of the QLV (Quasi-Linear 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 ... -
Surface waves and surface stability for pre-stretched, unconstrained, non-linearly elastic half-space
(Elsevier, 2009-06)An unconstrained, non-linearly elastic, semi-infinite solid is maintained in a state of large static plane strain. A power¿law relation between the pre-stretches is assumed and it is shown that this assumption is well ... -
Compact travelling waves in viscoelastic solids
(IOP Science, 2009-09-02)We introduce a model for nonlinear viscoelastic solids, for which travelling shear waves with compact support are possible. Using analytical and numerical methods, we investigate the general case of this model, and an ... -
Bimodular rubber buckles early in bending
(Elsevier, 2009-12-03)A block of rubber eventually buckles under severe flexure, and several axial wrinkles appear on the inner curved face of the bent block. Experimental measurements reveal that the buckling occurs earlier - at lower compressive ... -
Bending instabilities of soft biological tissues
(Elsevier, 2009-12-15)Rubber components and soft biological tissues are often subjected to large bending deformations while 'in service'. The circumferential line elements on the inner face of a bent block can contract up to a certain critical ... -
Introduction to the special issue on stability under finite deformation
(Oxford University Press, 2010)In the botanical gardens of Grenoble, France, there is small bridge, just a few metres long, made of pre-stressed concrete. The bridge dates back to 1855 and is thought to be the oldest manufactured pre-stressed structure ... -
Genus Two Partition and Correlation Functions for Fermionic Vertex Operator Superalgebras I
(2010)We define the partition and $n$-point correlation functions for a vertex operator superalgebra on a genus two Riemann surface formed by sewing two tori together. For the free fermion vertex operator superalgebra we obtain ... -
On the rectilinear shear of compressible and incompressible elastic slabs
(2010)We review some pseudo-planar 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 ... -
The gluing problem for some block fusion systems
(2010)We answer the gluing problem of blocks of finite groups (Linckelmann (2004) [7, 4.2]) for tame blocks and the principal p-block of PSL 3 ( p ) for p odd. In particular, we show that the gluing problem for the principal ... -
Realizing a fusion system by a single finite group
(2010)We show that every saturated fusion system can be realized as a full subcategory of the fusion system of a finite group. The result suggests the definition of an 'exoticity index' and raises some other questions which we discuss. -
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 ... -
Third and fourth-order elasticity of biological soft tissues
(Acoustical Society of America, 2010-01-24)In the theory of weakly nonlinear elasticity, Hamilton et al. [J. Acoust. Soc. Am. 116, 41-44 (2004)] identified W = -I2+(A/3)I3+DI22 as the fourth-order expansion of the strain-energy density for incompressible isotropic ... -
Third- and fourth-order constants of incompressible soft solids and the acousto-elastic effect.
(Acoustical Society of America, 2010-02)Acousto-elasticity is concerned with the propagation of small-amplitude waves in deformed solids. Results previously established for the incremental elastodynamics of exact non-linear elasticity are useful for the determination ... -
Tate's and Yoshida's theorems on control of transfer for fusion systems
(2010-03)We prove analogues of results of Tate and Yoshida on control of transfer for fusion systems. This requires the notions of p-group residuals and transfer maps in cohomology for fusion systems. As a corollary, we obtain a ... -
On the third- and fourth-order constants of incompressible isotropic elasticity.
(Acoustical Society of America, 2010-04-25)Consider the constitutive law for an isotropic elastic solid with the strain-energy function expanded up to the fourth order in the strain and the stress up to the third order in the strain. The stress-strain relation can ...