Browsing Mathematics by Title
Now showing items 223-242 of 263
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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 ... -
Torsion instability of soft solid cylinders
(Oxford Open Journals, 2013-12-10)The application of pure torsion to a long and thin cylindrical rod is known to provoke a twisting instability, evolving from an initial kink to a knot. In the torsional parallel-plate rheometry of stubby cylinders, the ... -
Torus Chiral n-Point Functions for Free Boson and Lattice Vertex Operator Algebras
(2002)We obtain explicit expressions for all genus one chiral n-point functions for free bosonic and lattice vertex operator algebras. We also consider the elliptic properties of these functions. -
Torus n-Point Functions for $\mathbb{R}$-graded Vertex Operator Superalgebras and Continuous Fermion Orbifolds
(2007)We consider genus one n-point functions for a vertex operator superalgebra with a real grading. We compute all n-point functions for rank one and rank two fermion vertex operator superalgebras. In the rank two fermion case, ... -
Toward a predictive assessment of stab-penetration forces
(Lippincott, Williams & Wilkins, 2015-09)Collaborative research between the disciplines of forensic pathology and biomechanics was undertaken to investigate the hyperelastic properties of human skin, to determine the force required for sharp instrument penetration ... -
Towards understanding the role of viscoelasticity in microstructural buckling in soft particulate composites
(Elsevier, 2023)This work investigates the interplay between viscoelasticity and instabilities in soft particulate composites undergoing finite deformation. The composite is subjected to in-plane deformation at various constant strain ...