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

Autor(es)

Labaki, Josue ^[1] ; Adolph, Marco ^[2] ; Mesquita, Euclides ^{[3, 4]}

Afiliação do(s) autor(es)

^[1] Univ Estadual Campinas, Sch Mech Engn, Dept Integrated Syst, Campinas, SP - Brazil

^[2] TROX USA Inc, Cumming, GA - USA

^[3] Univ Estadual Campinas, Sch Mech Engn, Dept Computat Mech, Campinas, SP - Brazil

^[4] CCES, Campinas, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Engineering Analysis with Boundary Elements; v. 106, p. 624-633, SEP 2019.
• Citações Web of Science: 0

Resumo

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. (AU)

• Processo FAPESP: 17/01450-0 - Resposta dinâmica de grandes fundações estruturais sensíveis à vibração, e estudo de caso da nova fonte brasileira de luz síncrotron
• Beneficiário: Josué Labaki Silva
• Linha de fomento: Auxílio à Pesquisa - Regular
• Processo FAPESP: 13/08293-7 - CECC - Centro de Engenharia e Ciências Computacionais
• Beneficiário: Munir Salomao Skaf
• Linha de fomento: Auxílio à Pesquisa - Centros de Pesquisa, Inovação e Difusão - CEPIDs