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(Reference retrieved automatically from SciELO through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

A quadratic boundary element for 3D elastodynamics

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Author(s):
Edivaldo Romanini [1] ; Josue Labaki [2] ; Iago Cavalcante [3] ; Euclides Mesquita [4]
Total Authors: 4
Affiliation:
[1] Universidade Federal do Mato Grosso do Sul
[2] Universidade Estadual de Campinas. Faculdade de Engenharia Mecânica - Brasil
[3] Universidade Estadual de Campinas. Faculdade de Engenharia Mecânica - Brasil
[4] Universidade Estadual de Campinas. Faculdade de Engenharia Mecânica - Brasil
Total Affiliations: 4
Document type: Journal article
Source: LATIN AMERICAN JOURNAL OF SOLIDS AND STRUCTURES; v. 20, n. 6 2023-10-13.
Abstract

Abstract This article presents novel non-singular influence functions for homogeneous media. These solutions are displacement and stress fields of a three-dimensional, isotropic full-space under time-harmonic vertical and horizontal loads, which can be used within the framework of boundary element methods to solve elastodynamics problems in engineering practice. In order to account for sharply-varying contact tractions that may occur in such problems, the solutions in this article consider a biquadratic distribution of the loads within the loaded surface. In the present derivation, sets of Fourier transforms are used to uncouple the medium's equation of motion and enable the incorporation of boundary conditions directly as traction discontinuities. The article brings selected numerical results for various geometric and constitutive parameters. (AU)

FAPESP's process: 22/02753-5 - Optimization and applications in dynamic soil-structure interaction
Grantee:Josué Labaki Silva
Support Opportunities: Research Grants - Initial Project
FAPESP's process: 13/08293-7 - CCES - Center for Computational Engineering and Sciences
Grantee:Munir Salomao Skaf
Support Opportunities: Research Grants - Research, Innovation and Dissemination Centers - RIDC