Browsing Mathematics (Scholarly Articles) by Title
Now showing items 52-71 of 152
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Improved mathematical and numerical modelling of dispersion of a solute from a continuous source
(2011)We present a refinement of a model due to Mondal and Mazumder [7] for dispersion of fine particles in an oscillatory turbulent flow. The model is based on the time-dependent advection-diffusion equation posed on a ... -
The incompressible limit in linear anisotropic elasticity, with applications to surface waves and elastostatics
(Elsevier, 2002)[no abstract available] -
Incremental magnetoelastic deformations, with application to surface instability
(Springer, 2008-01)In this paper the equations governing the deformations of infinitesimal (incremental) disturbances superimposed on finite static deformation fields involving magnetic and elastic interactions are presented. The coupling ... -
Influence of preservation temperature on the measured mechanical properties of brain tissue
(Elsevier, 2013-04-26)The large variability in experimentally measured mechanical properties of brain tissue is due to many factors including heterogeneity, anisotropy, age dependence and post-mortem time. Moreover, differences in test protocols ... -
Inhomogeneous "longitudinal" circularly-polarized plane waves in anisotropic elastic crystals
(S. Hirzel verlag, Ingenta Connect, 2006)Conditions on the elastic stiffnesses of anisotropic crystals are derived such that circularly polarized longitudinal inhomogeneous plane waves with an isotropic slowness bivector may propagate for any given direction of ... -
Inhomogeneous "longitudinal" plane waves in a deformed elastic material
(Springer, 2005-01)By definition, a homogeneous isotropic compressible Hadamard material has the property that an infinitesimal longitudinal homogeneous plane wave may propagate in every direction when the material is maintained in a state ... -
Inhomogeneous deformation of brain tissue during tension tests
(Elsevier, 2012)Mechanical characterization of brain tissue has been investigated extensively by various research groups over the past 50 years. These properties are particularly important for modeling Traumatic Brain Injury (TBI). ... -
Inhomogeneous shear of orthotropic incompressible non-linearly elastic solids: Singular solutions and biomechanical interpretation
(Elsevier, 2009)We present a detailed study of rectilinear shear deformation in the framework of orthotropic nonlinear elasticity, under Dirichlet and mixed-boundary conditions. We take a slab made of a soft matrix, reinforced with two ... -
Initial stress symmetry and its applications in elasticity
(The Royal Society, 2015-10-28)An initial stress within a solid can arise to support external loads or from processes such as thermal expansion in inert matter or growth and remodelling in living materials. For this reason, it is useful to develop a ... -
Initial stresses in elastic solids: Constitutive laws and acoustoelasticity
(2011)On the basis of the nonlinear theory of elasticity, the general constitutive equation for an isotropic hyperelastic solid in the presence of initial stress is derived. This derivation involves invariants that couple the ... -
Instabilities in elastomers and soft tissues
(Oxford Journals, 2006-09-15)Biological soft tissues exhibit elastic properties that can be dramatically different from rubber-type materials (elastomers). To gain a better understanding of the role of constitutive relationships in determining material ... -
The integral homology of PSL(2) of imaginary quadratic integers with nontrivial class group
(2011)We show that a cellular complex defined by Flöge allows us to determine the integral homology of the Bianchi groups PSL(2)(O[-m]), where O[-m] is the ring of integers of an imaginary quadratic number field Q [square root ... -
Interface waves in misoriented pre-stressed incompressible elastic solids
(Oxford Journals, 2004-12-17)Some relationships, fundamental to the resolution of interface wave problems, are presented. These equations allow for the derivation of explicit secular equations for problems involving waves localized near the plane ... -
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 ... -
John Todd and the development of modern numerical analysis
(2012)The purpose of this article is to mark the centenary of the birth of John Todd, a pioneer in the fields of numerical analysis and computational science. A brief account is given of his early life and career, and that of ... -
Large acoustoelastic effect
(Elsevier, 2012-03)Classical acoustoelasticity couples small-amplitude elastic wave propagation to an infinitesimal pre-deformation, in order to reveal and evaluate non-destructively third-order elasticity constants. Here, we see that ... -
Large amplitude Love waves
(Oxford Journals, 2008-04-22)In the context of the finite elasticity theory, we consider a model for compressible solids called 'compressible neo-Hookean material'. We show how finite-amplitude inhomogeneous plane wave solutions and finite-amplitude ... -
A mathematical model for the release of peptide-binding drugs from affinity hydrogels
(Palgrave, 2015-01-09)A mathematical model for the release of peptide-binding drugs from affinity hydrogels is analyzed in detail. The model is not specific to any particular peptide/drug/gel system, and can describe drug release from a large ... -
A Maximal Eigenvalue Method for Detecting Process Representative Genes by Integrating Data from Multiple Sources
(2008)An important problem in computational biology is the identification of candidate genes which can be considered as representative of the different cellular processes taking place in the cell as it evolves through time. ... -
Measuring knife stab penetration into skin simulant using a novel biaxial tension device
(Elsevier, 2008)This paper describes the development and use of a biaxial measurement device to analyse the mechanics of knife stabbings. In medicolegal situations it is typical to describe the consequences of a stabbing incident in ...