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    <subfield code="a">Balendran, Balasingham</subfield>
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    <subfield code="a">Analytical solution to axisymmetric torsional and antiplane vibration of a layered elastic halfspace</subfield>
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    <subfield code="a">Axisymmetric torsional and antiplane horizontal vibration of a layered elastic halfspace is studied here. Antiplane vibration is considered  in two independent modes, symmetrical and antisymmetrical about a vertical axis. In each case general solutions for displacement resulting from  the action of a shear traction at the surface and at the interface are  obtained in a form explicitly showing the contributions from body waves  and surface waves. General expressions are also obtained for impedance  and compliance functions of torsional oscillations of rigid circular disc  footings and antiplane horizontal and rocking vibration of rigid strip  footings bonded to the surface and to the interface. In this study the  mixed boundary valued problem is avoided by means of a reciprocal theorem.  Far field behaviour of the waves resulting from the applied shear  traction is rigorously investigated and shear wave and Love waves contributing to torsional and antiplane displacements are expressed in a  general form. Compliance and amplitude functions for the vibrations of  the footings considered are qualitatively investigated for a wide range  of frequency of excitation. Impedance functions are presented for  torsional and antiplane rocking vibrations in lower frequencies.</subfield>
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