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Titlebook: Integral Methods in Science and Engineering; Applications in Theo Christian Constanda,Bardo E.J. Bodmann,Paul J. Har Conference proceedings

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The Traction Boundary Value Problem for Thin Elastic Structures,ed on the boundary of the hole and given far-field behavior. The procedure is implemented by means of a generalized Fourier series method that makes use of a complete set of functions spanning the space of the solution. The functions of this complete set are constructed from elements intrinsically t
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Asymptotics for the Spectrum of a Floquet-Parametric Family of Homogenization Problems Associated wposed on a rectangular perforated domain of the plane. The perforations are periodically placed along the ordinate axis. The two parameters of the problem are the period, which converges toward zero, and the so-called Floquet parameter. The boundary conditions are quasi-periodicity conditions on the
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Computing Elastic Interior Transmission Eigenvalues,ieved by discretizing the resulting system of boundary integral equations in combination with a nonlinear eigenvalue solver. Numerical results are given to show that this new approach can provide better results than the finite element method when dealing with general domains.
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A Novel Solution of the Multi-Group Neutron Diffusion Equation by the Hankel Transform Formalism, solutions for the related problem considering two energy groups and a steady-state case. Upon applying the finite Hankel transform to the diffusion equation, one obtains a generalized system for the both neutron fluxes (fast and thermal), which may be solved in a closed form solution and depends on
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A Simple Numerical Scheme to Obtain Reflectivity and Transmissivity of an Isotropically Scattering ensional slab for which reflectivity and transmissivity are determined from the total in- and outgoing radiative fluxes across the boundaries. Further, we assume isotropic scattering in the medium and no emissivity and reflectivity on the boundaries but thermal radiation from the latter and an isotr
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A Unified Integral Equation Formulation for Linear and Geometrically Nonlinear Analysis of Thick Pltes. The plate models used account for shear influence by using the first-order plate theories of Mindlin and Reissner. An unified integral formulation for the plate models employed is derived for the corresponding Navier’s operator, and higher-order terms of the Green strain tensor are included, so
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