Abstract
Each of the exterior Dirichlet, Neumann, and Robin boundary value problems associated with the high-frequency stationary oscillations of Mindlin-type elastic plates is known to have at most one solution in a certain class of functions. However, it was shown that, using classical integral equation techniques, it is not possible to derive single, uniquely solvable integral equations from which to construct the solution of the mathematical model. To overcome this drawback, solutions have been sought in the form of functions satisfying a dissipative condition on some suitable curve. In this chapter, an alternative modified method is proposed that also yields well-posed integral equations.
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Thomson, G.R., Constanda, C. (2013). Modified Integral Equation Method for Stationary Plate Oscillations. In: Constanda, C., Bodmann, B., Velho, H. (eds) Integral Methods in Science and Engineering. Birkhäuser, New York, NY. https://doi.org/10.1007/978-1-4614-7828-7_21
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DOI: https://doi.org/10.1007/978-1-4614-7828-7_21
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