Browsing Mathematics (Scholarly Articles) by Title
Now showing items 154-173 of 228
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Pattern evolution in bending dielectric-elastomeric bilayers
(Elsevier, 2019-07-24)We propose theoretical and numerical analyses of smart bending deformation of a dielectric-elastic bilayer in response to a voltage, based on the nonlinear theory of electro-elasticity and the associated linearized incremental ... -
Perspectives on allele-specific expression
(Annual Reviews, 2021-04-28)Diploidy has profound implications for population genetics and susceptibility to genetic diseases. Although two copies are present for most genes in the human genome, they are not necessarily both active or active at the ... -
Phase behaviour of self-assembled monolayers controlled by tuning physisorbed and chemisorbed states: A lattice-model view
(American Institute of Physics, 2016-04-07)The self-assembly of molecules on surfaces into 2D structures is important for the bottom-up fabrication of functional nanomaterials, and the self-assembledstructure depends on the interplay between molecule-molecule ... -
Piezoacoustic wave spectra using improved surface impedance matrix: Application to high impedance-contrast layered plates
(2008)Starting from the general modal solutions for a homogeneous layer of arbitrary material and crystalline symmetry, a matrix formalism is developed to establish the semianalytical expressions of the surface impedance matrices ... -
Piezoelectric Love waves on rotated Y-cut mm2 substrates
(IEEE, 2006-11)Consider a layer consisting of a m3m dielectric crystal, with faces cut parallel to a symmetry plane. Then bond it onto a semi-infinite mm2 piezoelectric substrate. For an X- or Y-cut of the substrate, a Love wave can ... -
Post-buckling development in soft particulate composites
(Elsevier, 2023-07-26)In this paper, we investigate the post-buckling development of instability-induced patterns in soft particulate composites. Upon reaching the critical strain level, the composite experiences microstructural buckling. ... -
The Poynting effect
(American Association of Physics Teachers, 2020-11-19)Intuition suggests that twisting a cylinder will shorten it, but here it is shown that for a cylinder of an incompressible material, like rubber, twisting will always produce elongation. -
Poynting effect of brain matter in torsion
(Royal Society of Chemistry, 2019-06-13)We investigate experimentally and model theoretically the mechanical behaviour of brain matter in torsion. Using a strain-controlled rheometer, we perform torsion tests on fresh porcine brain samples. We quantify the torque ... -
Prescribing patterns in growing tubular soft matter by initial residual stress
(Royal Society of Chemistry, 2019-10-02)Initial residual stress is omnipresent in biological tissues and soft matter, and can affect growth-induced pattern selection significantly. Here we demonstrate this effect experimentally by letting soft tubes grow in the ... -
Proper formulation of viscous dissipation for nonlinear waves in solids
(Acoustical Society of America, 2013-03)To model nonlinear viscous dissipative motions in solids, acoustical physicists usually add terms the material time derivative of the Lagrangian strain tensor E, to the elastic stress tensor; derived from the expansion to ... -
Proton resonance frequency shift thermometry: A review of modern clinical practices
(Wiley, 2020-11-20)Magnetic resonance imaging (MRI) has become a popular modality in guiding minimally invasive thermal therapies, due to its advanced, nonionizing, imaging capabilities and its ability to record changes in temperature. A ... -
A quiver presentation for Solomon's descent algebra
(Elsvier, 2009)The descent algebra S(W) is a subalgebra of the group algebra of a finite Coxeter group W, which supports a homomorphism with nilpotent kernel and commutative image in the character ring of W. Thus S(W) is a basic algebra, ... -
Rational Generalised Moonshine from Abelian Orbifoldings of the Moonshine Module
(2001)We consider orbifoldings of the Moonshine Module with respect to the abelian group generated by a pair of commuting Monster group elements with one of prime order $p=2,3,5,7$ and the other of order $pk$ for $k=1$ or $k$ ... -
Ray W Ogden: An Appreciation
(SAGE Publications, 2015-07)This special issue of Mathematics and Mechanics of Solids is dedicated to Professor Ray Ogden FRS on the occasion of his 70th birthday. It is a companion volume to another special issue edited by our colleagues ... -
Rayleigh waves and surface stability for Bell materials in compression; comparison with rubber
(Oxford University Press, 2003)The stability of a Bell-constrained half-space in compression is studied. To this end, the propagation of Rayleigh waves on the surface of the material when it is maintained in a static state of triaxial prestrain is ... -
Rayleigh waves in symmetry planes of crystals : explicit secular equations and some explicit wave speeds
(Elsevier, 2003)Rayleigh waves are considered for crystals possessing at least one plane of symmetry. The secular equation is established explicitly for surface waves propagating in any direction of the plane of symmetry, using two different ... -
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. -
A refinement of a conjecture of Quillen
(Elsevier ScienceDirect, 2015-09)We present some new results on the cohomology of a large scope of SL2 groups in degrees above the virtual cohomological dimension, yielding some partial positive results for the Quillen conjecture in rank one. We combine ... -
Rivlin's legacy in continuum mechanics and applied mathematics
(The Royal Society, 2019-03-18)Over a long and distinguished career, Ronald Rivlin (figure 1) published more than 200 scientific papers. He was a highly innovative scientist who made seminal contributions in all areas of continuum mechanics. He was one ... -
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 ...