Browsing Mathematics (Scholarly Articles) by Title
Now showing items 11-30 of 152
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Catastrophic thinning of dielectric elastomers
(American Physical Society, 2017-02-15)We provide an energetic insight into the catastrophic nature of thinning instability in soft electroactive elastomers. This phenomenon is a major obstacle to the development of giant actuators, yet it is neither completely ... -
A census of human soluble protein complexes
(Elsevier, 2012-08-11)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
(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 ... -
Circularly-polarized plane waves in a deformed Hadamard material
(Elsevier, 2001-10-31)Small-amplitude 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 stab-penetration forces
(Elsevier, 2013-12)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 medico-legal situations. The main objective of ... -
Compact travelling waves in viscoelastic solids
(IOP Science, 2009-09-02)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
(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. -
Compression instabilities of tissues with localized strain softening.
(World Scientific Publishing Company, 2010-09-27)The stress-strain relationship of biological soft tissues affected by Marfan's syndrome is believed to be nonconvex. More specifically, Haughton and Merodio recently proposed a strain energy density leading to localized ... -
Creep, recovery, and waves in a nonlinear fiber-reinforced viscoelastic solid
(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
(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 ... -
Determination of friction coefficient in unconfined compression of brain tissue
(Elsevier, 2012-10)Unconfined compression tests are more convenient to perform on cylindrical samples of brain tissue than tensile tests in order to estimate mechanical properties of the brain tissue because they allow for homogeneous ... -
Differences in tension and compression in the nonlinearly elastic bending of beams
(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 ... -
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 ... -
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 ... -
EndoCOM : Conception d un banc in vitro de simulation des anévrismes de l aorte abdominale
(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 ... -
Exceptional Vertex Operator Algebras and the Virasoro Algebra
(2008)We consider exceptional vertex operator algebras for which particular Casimir vectors constructed from the primary vectors of lowest conformal weight are Virasoro descendants of the vacuum. We discuss constraints on these ... -
Explicit secular equation for Scholte waves over a monoclinic crystal
(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
(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
(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 ...