Browsing Mathematics by Author "|~|"
Now showing items 21-40 of 148
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Complexifiable characteristic classes
Rahm, Alexander D. (Springer, 2014-01)We examine the topological characteristic cohomology classes of complexified vector bundles. In particular, all the classes coming from the real vector bundles underlying the complexification are determined. -
Computations for Coxeter arrangements and Solomon's descent algebra II: Groups of rank five and six
Bishop, Marcus; Douglass, J. Matthew; Pfeiffer, Götz; Röhrle, Gerhard (Elsevier, 2013-01-08)In recent papers we have refined a conjecture of Lehrer and Solomon expressing the character of a finite Coxeter group W acting on the graded components of its Orlik-Solomon algebra as a sum of characters induced from ... -
Computations for Coxeter arrangements and Solomon's descent algebra III: Groups of rank seven and eight
Bishop, Marcus; Douglass, J. Matthew; Pfeiffer, Götz; Röhrle, Gerhard (Elsevier, 2014-11-06)In this paper we extend the computations in parts I and II of this series of papers and complete the proof of a conjecture of Lehrer and Solomon expressing the character of a finite Coxeter group W acting on the p-th graded ... -
Computations for Coxeter arrangements and Solomon's descent algebra: Groups of rank three and four
Bishop, Marcus; Douglass, J. Matthew; Pfeiffer, Götz; Röhrle, Gerhard (Elsevier, 2012-06-03)In recent papers we have refined a conjecture of Lehrer and Solomon expressing the characters of a finite Coxeter group W afforded by the homogeneous components of its Orlik-Solomon algebra as sums of characters induced ... -
Computing the table of marks of a cyclic extension
Naughton, L.; Pfeiffer, Götz (American Mathematical Society, 2012-02-24)The subgroup pattern of a finite group C is the table of marks of G together with a list of representatives of the conjugacy classes of subgroups of G. In this article we present an algorithm for the computation of the ... -
Creep, recovery, and waves in a nonlinear fiber-reinforced viscoelastic solid
Destrade, Michel (Society for Industrial and Applied Mathematics, 2007-10-10)We present a constitutive model capturing some of the experimentally observed features of soft biological tissues: nonlinear viscoelasticity, nonlinear elastic anisotropy, and nonlinear viscous anisotropy. For this model ... -
Deficiencies in numerical models of anisotropic nonlinearly elastic materials
Ní Annaidh, Aisling; Destrade, Michel; Gilchrist, M.; Murphy, J.G. (Springer, 2013-08)Incompressible nonlinearly hyperelastic materials are rarely simulated in finite element numerical experiments as being perfectly incompressible because of the numerical difficulties associated with globally satisfying ... -
Differences in tension and compression in the nonlinearly elastic bending of beams
Destrade, Michel (Texas Digital Library, 2009-02)The classical flexure problem of non-linear incompressible elasticity is revisited for elastic materials whose mechanical response is different in tension and compression - the so-called bimodular materials. The flexure ... -
Diffusionrank: a possible penicillin for web spamming
Yang, Haixuan (2007)While the PageRank algorithm has proven to be very effective for ranking Web pages, the rank scores of Web pages can be manipulated. To handle the manipulation problem and to cast a new insight on the Web structure, we ... -
Edge wrinkling in elastically supported pre-stressed incompressible isotropic plates
Destrade, Michel; Fu, Yibin; Nobili, Andrea (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 ... -
Elastic Cherenkov effects in transversely isotropic soft materials-I: Theoretical analysis, simulations and inverse method
Li, Guo-Yang; Zheng, Yang; Liu, Yanlin; Destrade, Michel; Cao, Yanping (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 ... -
Elastic interface acoustic waves in twinned crystals
Destrade, Michel (Elsevier, 2003)A new type of interface acoustic waves (IAW) is presented, for single-crystal orthotropic twins bonded symmetrically along a plane containing only one common crystallographic axis. The effective boundary conditions show ... -
EndoCOM : Conception d un banc in vitro de simulation des anévrismes de l aorte abdominale
Destrade, Michel (2009)(FR) Le traitement des anévrismes de l'aorte abdominale par voie endovasculaire est aujourd'hui prédominant à plus de 65 % mais comporte encore des risques. Le suivi postopératoire devient alors crucial. Le projet de ... -
Explicit secular equation for Scholte waves over a monoclinic crystal
Destrade, Michel (Elsevier, 2004)Scholte waves are acoustic waves propagating at a fluid/solid interface. They are localized in the neighborhood of the phase boundary in the sense that they decay exponentially in both directions along the normal to the ... -
The explicit secular equation for surface acoustic waves in monoclinic elastic crystals
Destrade, Michel (Acoustical Society of America, 2001-01-25)The secular equation for surface acoustic waves propagating on a monoclinic elastic half-space is derived in a direct manner, using the method of first integrals. Although the motion is at first assumed to correspond to ... -
Explicit secular equations for piezoacoustic surface waves: Rayleigh modes
Destrade, Michel (American Institute of Physics, 2005-09-06)The existence of a two-partial Rayleigh wave coupled to an electrical field in 2 mm piezoelectric crystals is known but has rarely been investigated analytically. It turns out that the Z cut X propagation problem can be ... -
Explicit secular equations for piezoacoustic surface waves: Shear-horizontal modes
Destrade, Michel (AIP Publishing, 2005-09-06)The existence of a two-partial Rayleigh wave coupled to an electrical field in 2 mm piezoelectric crystals is known but has rarely been investigated analytically. It turns out that the Z cut X propagation problem can be ... -
Extreme softness of brain matter in simple shear
Destrade, Michel; Murphy, J.G.; Gilchrist, M.; Rashid, J.G.; Saccomandi, Giuseppe (Elsevier, 2015-03-13)We show that porcine brain matter can be modelled accurately as a very soft rubber-like material using the Mooney-Rivlin strain energy function, up to strains as high as 60%. This result followed from simple shear experiments ... -
Finite amplitude elastic waves propagating in compressible solids
Destrade, Michel (2005)The paper studies the interaction of a longitudinal wave with transverse waves in general isotropic and unconstrained hyperelastic materials, including the possibility of dissipation. The dissipative term chosen is similar ... -
Finite amplitude inhomogeneous waves in Mooney-Rivlin viscoelastic solids
Destrade, Michel (Elsevier, 2004-09)New exact solutions are exhibited within the framework of finite viscoelasticity. More precisely, the solutions correspond to finite-amplitude, transverse, linearly polarized, inhomogeneous motions superposed upon a finite ...