Browsing Mathematics (Scholarly Articles) by Title
Now showing items 150-169 of 228
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On the thermodynamic consistency of Quasi-linear viscoelastic models for soft solids
(Elsevier, 2020-12-15)Originating in the field of biomechanics, Fung's model of quasi-linear viscoelasticity (QLV) is one of the most popular constitutive theories employed to compute the time-dependent relationship between stress and deformation ... -
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 ... -
On the Torus degeneration of the genus two partition function
(World Scientific Publishing, 2013-07-16)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 non-trivial degeneration limit where one torus is pinched down ... -
Onset of non-linearity in the elastic bending of blocks
(American Society of Mechanical Engineers, 2013-01-25)The classical flexure problem of non-linear incompressible elasticity is revisited assuming that the bending angle suffered by the block is specified instead of the usual applied moment. The general moment-bending angle ... -
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 ...