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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 ...
Elastic Cherenkov effects in transversely isotropic soft materials-I: Theoretical analysis, simulations and inverse method
(Elsevier, 2016-06-25)
A body force concentrated at a point and moving at a high speed can induce shear-wave Mach cones in dusty-plasma crystals or soft materials, as observed experimentally and named the elastic Cherenkov effect (ECE). The ECE ...
Edge wrinkling in elastically supported pre-stressed incompressible isotropic plates
(The Royal Society Publishing, 2016-09-07)
The equations governing the appearance of flexural static perturbations at the edge of a semi-infinite thin elastic isotropic plate, subjected to a state of homogeneous bi-axial pre-stress, are derived and solved. The plate ...
On the equivariant K-homology of PSL_2 of the imaginary quadratic integers
(Association des Annales de l'Institut Fourier, 2016-09)
We establish formulae for the part due to torsion of the equivariant $K$-homology of all the Bianchi groups (PSL$_2$ of the imaginary quadratic integers), in terms of elementary number-theoretic quantities. To achieve this, ...
The annual GiG: Groups in Galway
(NUI Galway, 2015)
The GiG (Groups in Galway) conference, and related activity, has been
running annually since 1978 and is the longest running annual international
mathematical conference on a special topic. It has its origin from the ...
Methodical fitting for mathematical models of rubber-like materials
(The Royal Society Publishing, 2017-02-08)
A great variety of models can describe the nonlinear response of rubber to uniaxial tension. Yet an in-depth understanding of the successive stages of large extension is still lacking. We show that the response can be ...
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 ...
Guided waves in pre-stressed hyperelastic plates and tubes: Application to the ultrasound elastography of thin-walled soft materials
(Elsevier, 2017-02-17)
In vivo measurement of the mechanical properties of thin-walled soft tissues (e.g., mitral valve, artery and bladder) and in situ mechanical characterization of thin-walled artificial soft biomaterials in service are of ...
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 ...
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 ...