半無限弾性体における衝撃エネルギ分布

概要

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The present work deales with an theoretical analysis on the transient problem of normal line loadings varying with time as Heaviside step function on an elastic half-space. The formal solutions are obtained by using Fourier-Laplace double integral transforms. Their inverse transforms are effectively evaluated by the Cagniard's method. This method is interpreted here by making use of mappings of integral contours on the Riemann surface to yield the exact solutions.Numerical calculations of three stress components and a strain energy density are carried out withiI} a disturbed region.Their results are arranged for 3-D graphic representations.The concluding remarks deduced from the graphics are summarized as follows:[1] The contribution to the surface response of the energy of the Rayleigh wave becomes predominant as the response time passes. because of the weak attenuation.[2] The energy components due to dilatational waves and shear waves become prominent in the restricted locations.Amplitudes of shear waves are especially large within the 'shear window'the region of which extends in the direction about 50' underneath the impact surface.[3] There is little contribution of the von Schmidt wave.
秋田大学鉱山学部の論文