Now showing items 146-165 of 195

• #### Scalar evolution equations for shear waves in incompressible solids: a simple derivation of the Z, ZK, KZK and KP equations ﻿

(The Royal Society, 2011-07-08)
We study the propagation of two-dimensional finite-amplitude shear waves in a nonlinear pre-strained incompressible solid, and derive several asymptotic amplitude equations in a simple, consistent and rigorous manner. The ...
• #### Seismic Rayleigh waves on an exponentially graded, orthotropic half-space ﻿

(The Royal Society, 2007)
Efforts at modelling the propagation of seismic waves in half-spaces with continuously varying properties have mostly been focused on shear-horizontal waves. Here, a sagittally polarized (Rayleigh type) wave travels along ...
• #### Selection shapes synonymous stop codon use in mammals ﻿

(Springer (part of Springer Nature), 2020-07-02)
Phylogenetic models of the evolution of protein-coding sequences can provide insights into the selection pressures that have shaped them. In the application of these models synonymous nucleotide substitutions, which do not ...
• #### Shear instability in skin tissue ﻿

(Oxford University Press, 2013)
We propose two toy-models to describe, predict and interpret the wrinkles appearing on the surface of skin when it is sheared. With the first model, we account for the lines of greatest tension present in human skin by ...
• #### Simple shear is not so simple ﻿

(2012-03)
For homogeneous, isotropic, non-linearly elastic materials, the form of the homogeneous deformation consistent with the application of a Cauchy shear stress is derived here for both compressible and incompressible materials. ...
• #### Simulation of quantum circuits by low-rank stabilizer decompositions ﻿

(Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften, 2019-09-02)
Recent work has explored using the stabilizer formalism to classically simulate quantum circuits containing a few non-Clifford gates. The computational cost of such methods is directly related to the notion of s t a ...
• #### Slight compressibility and sensitivity to changes in Poisson's ratio ﻿

(2012)
Finite element simulations of rubbers and biological soft tissue usually assume that the material being deformed is slightly compressible. It is shown here that, in shearing deformations, the corresponding normal stress ...
• #### 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 ...
• #### Solitary and compact-like shear waves in the bulk of solids ﻿

(American Physical Society, 2006-06)
We show that a model proposed by Rubin, Rosenau and Gottlieb J. Appl. Phys. 77 4054 (1995) for dispersion caused by an inherent material characteristic length belongs to the class of simple materials. Therefore, it is ...
• #### Some design considerations for polymer-free drug-eluting stents: a mathematical approach ﻿

(Elsevier (Science Direct), 2015)
In this paper we provide the first model of drug elution from polymer-free arterial drug-eluting stents. The generalised model is capable of predicting the drug release from a number of polymer-free systems including those ...
• #### Some Generalizations of the MacMahon Master Theorem ﻿

(2011)
We consider a number of generalizations of the $\beta$-extended MacMahon Master Theorem for a matrix. The generalizations are based on replacing permutations on multisets formed from matrix indices by partial permutations ...
• #### Some Irrational Generalised Moonshine from Orbifolds ﻿

(2002)
We verify the Generalised Moonshine conjectures for some irrational modular functions for the Monster centralisers related to the Harada-Norton, Held, $M_{12}$ and $L_3(3)$ simple groups based on certain orbifolding ...
• #### Some results on finite amplitude elastic waves propagating in rotating media ﻿

(Springer, 2004-12)
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 half-space put into uniform rotation? It is seen that nonlinear ...
• #### The speed of interfacial waves polarized in a symmetry plane ﻿

(Elsevier, 2006-01)
The surface-impedance 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 ...
• #### Stability analysis of charge-controlled soft dielectric plates ﻿

(Elsevier, 2020-04-06)
We examine the stability of a soft dielectric plate deformed by the coupled effects of a mechanical pre-stress applied on its lateral faces and an electric field applied through its thickness under charge control. The ...
• #### Stoneley waves and interface stability for Bell materials in compression; comparison with rubber ﻿

(2005)
Two semi-infinite bodies made of prestressed, homogeneous, Bell-constrained, hyperelastic materials are perfectly bonded along a plane interface. The half-space have been subjected to finite pure homogeneous predeformations, ...
• #### Strain energy function for isotropic non-linear elastic incompressible solids with linear finite strain response in shear and torsion ﻿

(Elsevier, 2016-07-18)
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 semi-inverse method of nonlinear elasticity ﻿

(The Royal Society, 2007-11-08)
In an attempt to describe cork-pulling, we model a cork as an incompressible rubber-like 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, 2013-02-10)
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, 2004-02-08)
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 ...