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

Stationary Dynamic Stress Solutions for a Rectangular Load Applied within a 3D Viscoelastic Isotropic Full-Space

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Author(s):
Romanini, E. [1] ; Labaki, J. [2] ; Mesquita, E. [2, 3] ; Silva, R. C. [1]
Total Authors: 4
Affiliation:
[1] Fed Univ South Mato Grosso, Tres Lagoas, MS - Brazil
[2] Univ Estadual Campinas, Sch Mech Engn, Campinas, SP - Brazil
[3] CCES, Campinas, SP - Brazil
Total Affiliations: 3
Document type: Journal article
Source: MATHEMATICAL PROBLEMS IN ENGINEERING; 2019.
Web of Science Citations: 1
Abstract

This paper presents stress influence functions for uniformly distributed, time-harmonic rectangular loads within a three-dimensional, viscoelastic, isotropic full-space. The coupled differential equations relating displacements and stresses in the full-space are solved through double Fourier integral transforms in the wave number domain, in which they can be solved algebraically. The final stress fields are expressed in terms of double indefinite integrals arising from the Fourier transforms. The paper presents numerical schemes with which to integrate these functions accurately. The article presents numerical validation of the synthesized stress kernels and their behavior for high frequencies and large distances from the excitation source. The influence of damping ratio on the dynamic results is also investigated. This article is complementary to previous results of the authors in which the corresponding displacement solutions were derived. Stress influence functions, together with their displacement counterparts, are a fundamental part of many numerical methods of discretization such the boundary element method. (AU)

FAPESP's process: 17/01450-0 - Dynamic response of large-scale Vibration-Sensitive structural foundations, and case study of the new Brazilian Synchrotron Light Source
Grantee:Josué Labaki Silva
Support type: Regular Research Grants
FAPESP's process: 13/08293-7 - CCES - Center for Computational Engineering and Sciences
Grantee:Munir Salomao Skaf
Support type: Research Grants - Research, Innovation and Dissemination Centers - RIDC