A derivation of nonsingular displacement and stress fields within a 3D full-space through Radon transforms. (September 2019)

• Record Type: Journal Article
• Authors: Labaki, Josue; Adolph, Marco; Mesquita, Euclides
• Is Part Of: Engineering analysis with boundary elements. Volume 106(2019)
• Page Start: 624
• Page End: 633
• Publication Date: 2019-09
• Subjects: Boundary element methods -- Periodicals; Engineering mathematics -- Periodicals; Équations intégrales de frontière, Méthodes des -- Périodiques; Mathématiques de l'ingénieur -- Périodiques; Boundary element methods; Engineering mathematics; Periodicals; 620.00151
• DOI: 10.1016/j.enganabound.2019.05.025
• Languages: English
• ISSNs: 0955-7997

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.