Browsing Mathematics (Scholarly Articles) by Title
Now showing items 76-95 of 228
-
Head-to-nerve analysis of electromechanical impairments of diffuse axonal injury
(Springer, 2018-11-14)The aim was to investigate mechanical and functional failure of diffuse axonal injury (DAI) in nerve bundles following frontal head impacts, by finite element simulations. Anatomical changes following traumatic brain injury ... -
A high rate tension device for characterizing brain tissue
(SAGE Journals, 2012-03-08)The mechanical characterization of brain tissue at high loading velocities is vital for understanding and modeling traumatic brain injury. The most severe form of traumatic brain injury is diffuse axonal injury, which ... -
Higher torsion in the Abelianization of the full Bianchi groups
(Cambridge University Press (Cambridge Journals Online), 2013-09)Denote by Q(root-m), with m a square-free positive integer, an imaginary quadratic number field, and by O-m its ring of integers. The Bianchi groups are the groups SL2(O-m). In the literature, so far there have been no ... -
The homological torsion of PSL_2 of the imaginary quadratic integers
(2013)The Bianchi groups are the groups (P)SL2 over a ring of integers in an imaginary quadratic number field. We reveal a correspondence between the homological torsion of the Bianchi groups and new geometric invariants, which ... -
Homology and K-theory of the Bianchi groups
(2011)We reveal a correspondence between the homological torsion of the Bianchi groups and new geometric invariants, which are effectively computable thanks to their action on hyperbolic space. We use it to explicitly compute ... -
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 ... -
An inductive approach to Coxeter arrangements and Solomon's descent algebra
(Springer Verlag, 2012-07-20)In our recent paper (Douglass et al. arXiv: 1101.2075 (2011)), we claimed that both the group algebra of a finite Coxeter group W as well as the Orlik-Solomon algebra of W can be decomposed into a sum of induced one-dimensional ... -
Influence of initial residual stress on growth and pattern creation for a layered aorta
(Nature Research, 2019-06-03)Residual stress is ubiquitous and indispensable in most biological and artificial materials, where it sustains and optimizes many biological and functional mechanisms. The theory of volume growth, starting from a stress-free ... -
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 ... -
Instability-induced pattern formations in soft magnetoactive composites
(American Physical Society, 2020-04-14)Elastic instabilities can trigger dramatic microstructure transformations giving rise to unusual behavior in soft matter. Motivated by this phenomenon, we study instability-induced pattern formations in soft magnetoactive ... -
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 ...