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We consider a one-dimensional unsteady problem of elasticity with diffusion and
preset unsteady volumetric disturbances. The mathematical model is based on a local
equilibrium model of elastic diffusion. The solution is sought in integral form. The bulk
Green's functions are found via Laplace transform and Fourier transform for unbounded
medium, sine and cosine transform for semi-bounded medium, Fourier's series for bounded
medium.
Keywords: elastic diffusion, unsteady problems, Green's functions, integral transformations |
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