Browsing School of Mathematics, Statistics and Applied Mathematics by Title
Now showing items 229-248 of 274
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Stoneley waves and interface stability for Bell materials in compression; comparison with rubber
(2005)Two semi-infinite bodies made of prestressed, homogeneous, Bell-constrained, hyperelastic materials are perfectly bonded along a plane interface. The half-space have been subjected to finite pure homogeneous predeformations, ... -
Strain energy function for isotropic non-linear elastic incompressible solids with linear finite strain response in shear and torsion
(Elsevier, 2016-07-18)We find the strain energy function for isotropic incompressible solids exhibiting a linear relationship between shear stress and amount of shear, and between torque and amount of twist, when subject to large simple shear ... -
Strain rate effects on the failure characteristics of excised human skin
(The 9th International Conference on the Mechanics of Time Dependent Materials, 2014)Skin is a complex, multi-layered material which exhibits non-linear, anisotropic and viscoelastic behaviour. Its structure is complex and can be broadly divided into three main layers: the epidermis, the dermis and ... -
The stress field in a pulled cork and some subtle points in the semi-inverse method of nonlinear elasticity
(The Royal Society, 2007-11-08)In an attempt to describe cork-pulling, we model a cork as an incompressible rubber-like material and consider that it is subject to a helical shear deformation superimposed onto a shrink fit and a simple torsion. It turns ... -
Structural and material electro-mechanical instabilities in microstructured dielectric elastomer plates
(Elsevier, 2022-02-18)In this paper, we investigate the stability of microstructured dielectric elastomer (DE) plates under electro-mechanical finite deformations. We examine the influence of the DE composite microstructure parameters on the ... -
The subgroup measuring the defect of the Abelianization of SL_2(Z[i])
(Springer, 2013-02-10)There is a natural inclusion of SL2(Z) into SL2(Z[i]) , but it does not induce an injection of commutator factor groups (Abelianizations). In order to see where and how the 3 -torsion of the Abelianization of SL2(Z) ... -
Surface acoustic waves in rotating orthorhombic crystals
(The Royal Society, 2004-02-08)The propagation of surface (Rayleigh) waves over a rotating orthorhombic crystal is studied. The crystal possesses three crystallographic axes, normal to the symmetry planes: the half¿space is cut along a plane normal to ... -
Surface stability of nonlinear magnetoelastic solids
(Wiley, 2007-12)The present paper proposes to identify surface stability when a magnetoelastic half-space is subjected to a pure homogeneous pre-deformation and to a magnetic field normal to its (plane) boundary. Clearly, the aim is to ... -
Surface waves and surface stability for pre-stretched, unconstrained, non-linearly elastic half-space
(Elsevier, 2009-06)An unconstrained, non-linearly elastic, semi-infinite solid is maintained in a state of large static plane strain. A power¿law relation between the pre-stretches is assumed and it is shown that this assumption is well ... -
Surface waves in a deformed isotropic hyperelastic material subject to an isotropic internal constraint
(Elsevier, 2004)An isotropic elastic half-space is prestrained so that two of the principal axes of strain lie in the bounding plane, which itself remains free of traction. The material is subject to an isotropic constraint of arbitrary ... -
Surface waves in a stretched and sheared incompressible elastic material
(2005)In this paper, we analyze the effect of a combined pure homogeneous strain and simple shear in a principal plane of the latter on the propagation of surface waves for an incompressible isotropic elastic half-space whose ... -
Surface waves in deformed Bell materials
(2003)Small amplitude inhomogeneous plane waves are studied as they propagate on the free surface of a predeformed semi-infinite body made of Bell constrained material. The predeformation corresponds to a finite static pure ... -
Surface waves in orthotropic incompressible materials
(Acoustical Society of America, 2001-04-17)The secular equation for surface acoustic waves propagating on an orthotropic incompressible half-space is derived in a direct manner, using the method of first integrals. -
The Szegö Kernel on a Sewn Riemann Surface
(2010)We describe the Szegö kernel on a higher genus Riemann surface in terms of Szegö kernel data coming from lower genus surfaces via two explicit sewing procedures where either two Riemann surfaces are sewn together or a ... -
Tate's and Yoshida's theorems on control of transfer for fusion systems
(2010-03)We prove analogues of results of Tate and Yoshida on control of transfer for fusion systems. This requires the notions of p-group residuals and transfer maps in cohomology for fusion systems. As a corollary, we obtain a ... -
Temperature effects on brain tissue in compression
(2012)Extensive research has been carried out for at least 50 years to understand the mechanical properties of brain tissue in order to understand the mechanisms of traumatic brain injury (TBI). The observed large variability ... -
Tension lines of the skin
(Springer, Cham, 2019-05-29)Skin tension lines are natural lines of tension that occur within the skin as a result of growth and remodeling mechanisms. Researchers have been aware of their existence and their surgical implications for over 150 years. ... -
Third and fourth-order elasticity of biological soft tissues
(Acoustical Society of America, 2010-01-24)In the theory of weakly nonlinear elasticity, Hamilton et al. [J. Acoust. Soc. Am. 116, 41-44 (2004)] identified W = -I2+(A/3)I3+DI22 as the fourth-order expansion of the strain-energy density for incompressible isotropic ... -
Third- and fourth-order constants of incompressible soft solids and the acousto-elastic effect.
(Acoustical Society of America, 2010-02)Acousto-elasticity is concerned with the propagation of small-amplitude waves in deformed solids. Results previously established for the incremental elastodynamics of exact non-linear elasticity are useful for the determination ...