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Boundary Element Method Solution of a 2D Problem of a Thick Elastic Plate with Magnetic Field as External Force

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A Boundary Element Method (BEM) for solving two (2D) dimensional static problem in materials under magnetic field as an external force is illustrated. A non-dimensional fundamental solution for stresses and displacements are obtained using Galerkin vectors. A reciprocity theorem is obtained. Integral representation of the displacement components is obtained. The formulation was applied to a specific problem for a thick plate. The results are compared with the exact analytical solutions obtained by using the Fourier exponential to transform for validation. The effect of magnetic field is calculated numerically and displayed graphically.
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Document Type: Research Article

Publication date: November 1, 2014

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  • Journal of Computational and Theoretical Nanoscience is an international peer-reviewed journal with a wide-ranging coverage, consolidates research activities in all aspects of computational and theoretical nanoscience into a single reference source. This journal offers scientists and engineers peer-reviewed research papers in all aspects of computational and theoretical nanoscience and nanotechnology in chemistry, physics, materials science, engineering and biology to publish original full papers and timely state-of-the-art reviews and short communications encompassing the fundamental and applied research.
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