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A derivation of nonsingular displacement and stress fields within a 3D full-space through Radon transforms

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Abstract This work presents a derivation of stress and displacement fields within a three-dimensional full-space under uniformly distributed time-harmonic loads. A combination of Fourier and Radon transforms is used for… Click to show full abstract

Abstract This work presents a derivation of stress and displacement fields within a three-dimensional full-space under uniformly distributed time-harmonic loads. A combination of Fourier and Radon transforms is used for the derivation. Radon transforms were chosen due to their ability to yield reduced-order transformed differential equations that can be solved algebraically, the inverse transform of which can be obtained analytically. The article discusses the numerical evaluation of the resulting solution, and illustrates the accuracy of the present implementation with selected numerical results.

Keywords: fields within; stress; full space; radon transforms; displacement

Journal Title: Engineering Analysis with Boundary Elements
Year Published: 2019

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