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| Site Title: | Oxford Journals | Mathematics & Physical Sciences | Quarterly Jnl. of Mechanics & App. Maths. |
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Pure Currents In Foliated Waveguides We give an explicit characterization of obliquely propagating electric modes within a multilayered planar dielectric waveguide of cross-section [0, 1]. This foliated strip, with fixed metallic boundaries at 0 and 1, consists of an integer number N of periodic cells of thickness = 1/N. We are interested in the high-frequency asymptotic analysis of its spectrum. For this, we rescale the wavelength ... |
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Axisymmetric Buckling Of A Spherical Shell Embedded In An Elastic Medium Under Uniaxial Stress At Infinity The problem of a thin spherical linearly elastic shell perfectly bonded to an infinite linearly elastic medium is considered. A constant axisymmetric stress field is applied at infinity in the matrix, and the displacement and stress fields in the shell and matrix are evaluated by means of harmonic potential functions. In order to examine the stability of this solution, the buckling problem of a sh... |
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Multiple Solutions To Non-convex Variational Problems With Implications For Phase Transitions And Numerical Computation Non-convex variational/boundary-value problems are studied using a modified version of the Ericksen bar model in nonlinear elasticity. The strain-energy function is a general fourth-order polynomial in a suitable measure of strain that provides a convenient model for the study of, for example, phase transitions. On the basis of a canonical duality theory, the nonlinear differential equation for th... |
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Fractional Heat Conduction Equation And Associated Thermal Stresses In An Infinite Solid With Spherical Cavity In this work, the temperature distribution and thermal stresses in an infinite medium with a spherical cavity are studied in the framework of a quasi-static uncoupled theory of thermoelasticity based on heat conduction equation with a time fractional derivative of order 0 < ≤ 2. The Caputo fractional derivative is used. As the fractional heat conduction equation in the case 1 ≤ ≤ 2 i... |
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Point Source Excitation Of A Layered Sphere: Direct And Far-field Inverse Scattering Problems A layered sphere is excited by a time-harmonic spherical acoustic wave, generated by a point source located either in the interior or in the exterior of the sphere. The sphere's core may be acoustically soft, hard, resistive or penetrable. Significant applications such as radiation from the neuron currents lying inside the human brain and localization and shape reconstruction of buried objects in ... |
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The Initial Development Of A Jet Caused By Fluid, Body And Free Surface Interaction. Part 3. An Inclined Accelerating Plate The free surface and flow field structure generated by the uniform acceleration of a rigid plate, inclined at an angle (0, /2) (/2, ) to the exterior horizontal, as it advances into an initially stationary and horizontal strip of inviscid, incompressible fluid, are studied in the small-time limit via the method of matched asymptotic expansions. This work generalises the case of a uniformly acce... |
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Electromagnetic Fields Induced By Electric Current In An Infinite Plate With An Elliptical Hole Analytical solutions to the electromagnetic field in a thin conductive plate with an elliptical hole are derived by means of complex potentials and conformal mapping techniques. The steady-state current field in a thin conductive plate is two dimensional (2D) and is explored by a standard complex variable technique. The current is disturbed around the elliptical hole, and produces a three dimensio... |
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