Browsing Mathematics by Author "~"
Now showing items 120 of 129

Acoustic waves at the interface of a prestressed incompressible elastic solid and a viscous fluid
Destrade, Michel (Elsevier, 20061110)We analyse the influence of prestress on the propagation of interfacial waves along the boundary of an incompressible hyperelastic halfspace that is in contact with a viscous fluid extending to infinity in the adjoining ... 
Analogues of Goldschmidt's thesis for fusion systems
Park, Sejong (Elsevier, 20101215)We extend the results of David Goldschmidt's thesis concerning fusion in finite groups to saturated fusion systems and to all primes. 
Asymptotic results for bifurcations in pure bending of rubber blocks
Destrade, Michel (Oxford Journals, 200803)The bifurcation of an incompressible neoHookean thick block with a ratio of thickness to length n, subject to pure bending, is considered. The two incremental equilibrium equations corresponding to a nonlinear prebuckling ... 
At least three invariants are necessary to model the mechanical response of incompressible, transversely isotropic materials
Destrade, Michel; Mac Donald, B.; Murphy, J.G.; Saccomandi, Giuseppe (Springer, 20130418)The modelling of offaxis simple tension experiments on transversely isotropic nonlinearly elastic materials is considered. A testing protocol is proposed where normal force is applied to one edge of a rectangular specimen ... 
Automated estimation of collagen fibre dispersion in the dermis and its contribution to the anisotropic behaviour of skin
Ní Annaidh, Aisling; Destrade, Michel; Gilchrist, Michael D. (Springer, 201208)Collagen fibres play an important role in the mechanical behaviour of many soft tissues. Modelling of such tissues now often incorporates a collagen fibre distribution. However, the availability of accurate structural data ... 
Bending instabilities of soft biological tissues
Destrade, Michel; Ní Annaidh, Aisling (Elsevier, 20091215)Rubber components and soft biological tissues are often subjected to large bending deformations while 'in service'. The circumferential line elements on the inner face of a bent block can contract up to a certain critical ... 
Bimodular rubber buckles early in bending
Destrade, Michel; Gilchrist, Michael D.; Motherway, Julie A. (Elsevier, 20091203)A block of rubber eventually buckles under severe flexure, and several axial wrinkles appear on the inner curved face of the bent block. Experimental measurements reveal that the buckling occurs earlier  at lower compressive ... 
BleusteinGulyaev waves in some functionally graded materials
Destrade, Michel (Elsevier, 20060228)Functionally Graded Materials are inhomogeneous elastic bodies whose properties vary continuously with space. Hence consider a halfspace (x2>0) occupied by a special Functionally Graded Material made of an hexagonal (6 ... 
The bosonic vertex operator algebra on a genus g Riemann surface
Tuite, Michael P.; Zuevsky, Alexander (201108)We discuss the partition function for the Heisenberg vertex operator algebra on a genus g Riemann surface formed by sewing handles to a Riemann sphere. In particular, it is shown how the partition can be computed by means ... 
A census of human soluble protein complexes
Yang, Haixuan (Elsevier, 20120811)Cellular processes often depend on stable physical associations between proteins. Despite recent progress, knowledge of the composition of human protein complexes remains limited. To close this gap, we applied an integrative ... 
Characterising the anisotropic mechanical properties of excised human skin
Ní Annaidh, Aisling; Destrade, Michel; Gilchrist, Michael D. (2012)The mechanical properties of skin are important for a number of applications including surgery, dermatology, impact biomechanics and forensic science. In this study, we have investigated the influence of location and ... 
Characteristic classes of complexified bundles
Rahm, Alexander D. (Summer School in Algebraic Topology: Sheaf theoretic methods in the theory of characteristic classes, 2007)We examine the topological characteristic cohomology classes of complexified vector bundles . In particular, all the classes coming from real vector bundles are computed. We use characteristic classes with the axioms of ... 
Circularlypolarized plane waves in a deformed Hadamard material
Destrade, Michel (Elsevier, 20011031)Smallamplitude inhomogeneous plane waves propagating in any direction in a homogeneously deformed Hadamard material are considered. Conditions for circular polarization are established. The analysis relies on the use of ... 
A combined experimental and numerical study of stabpenetration forces
Ní Annaidh, Aisling; Cassidy, Mary; Curtis, Michael; Destrade, Michel; Gilchrist, Michael D. (Elsevier, 201312)The magnitude of force used in a stabbing incident can be difficult to quantify, although the estimate given by forensic pathologists is often seen as 'critical' evidence in medicolegal situations. The main objective of ... 
Compact travelling waves in viscoelastic solids
Destrade, Michel (IOP Science, 20090902)We introduce a model for nonlinear viscoelastic solids, for which travelling shear waves with compact support are possible. Using analytical and numerical methods, we investigate the general case of this model, and an ... 
Complexifiable characteristic classes
Rahm, Alexander D. (Springer, 201401)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. 
Complexifiable characteristic classes
Rahm, Alexander D. (2013) 
Creep, recovery, and waves in a nonlinear fiberreinforced viscoelastic solid
Destrade, Michel (Society for Industrial and Applied Mathematics, 20071010)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, 201308)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, 200902)The classical flexure problem of nonlinear incompressible elasticity is revisited for elastic materials whose mechanical response is different in tension and compression  the socalled bimodular materials. The flexure ...