A homogeneous isotropic elastic half plane with nonstationary normal displacements on the boundary is considered. With the use of the Laplace and Fourier integral transformations, we propose integral representations for displacements with kernels in the form of surface influence functions. The originals are computed by using an algorithm of joint inversion of these transformations based on the construction of analytic extensions of the transforms. The explicit form of the influence functions is obtained. Some examples of their evaluation are presented.
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Published in Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 56, No. 2, pp. 164–172, April–June, 2013.
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Vestyak, V.A., Hachkevych, A.R., Tarlakovskii, D.V. et al. Elastic Half Plane Under the Action of Nonstationary Surface Kinematic Perturbations. J Math Sci 203, 202–214 (2014). https://doi.org/10.1007/s10958-014-2101-y
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DOI: https://doi.org/10.1007/s10958-014-2101-y