Transient dynamic analysis of generally anisotropic materials using the boundary element method

Author(s)

Rodriguez, R. Q. ^{[1, 2]} ; Galvis, A. F. ^[1] ; Sollero, P. ^[1] ; Tan, C. L. ^[3] ; Albuquerque, E. L. ^[4]

Affiliation

^[1] Univ Estadual Campinas, Sch Mech Engn, Dept Computat Mech, BR-13083860 Campinas, SP - Brazil

^[2] State Univ Mato Grosso Campus Tangara da Serra, Sch Civil Engn, BR-78300000 Tangara Da Serra, MT - Brazil

^[3] Carleton Univ, Dept Mech & Aerosp Engn, Ottawa, ON K1S 5B6 - Canada

^[4] Univ Brasilia, Fac Technol, Dept Mech Engn, BR-70910900 Brasilia, DF - Brazil

• Document type: Journal article
• Source: ACTA MECHANICA; v. 229, n. 4, p. 1893-1910, APR 2018.
• Web of Science Citations: 1

Abstract

This work presents the use of an explicit-form Green's function for 3D general anisotropy in conjunction with the dual reciprocity boundary element method and the radial integration method to analyse elastodynamic problems using BEM. The latter two schemes are to treat the inertial loads in the time-domain formulation of the dynamic problem. The direct analysis with the Houbolt's algorithm is used to perform the transient analysis. The efficient and accurate computation of the fundamental solutions has been a subject of great interest for 3D general anisotropic materials due to their mathematical complexity. A recently proposed scheme based on double Fourier series representation of these solutions is used to this end. Numerical examples are presented to demonstrate the feasibility and successful implementation of applying these schemes in synthesis to treat 3D elastodynamic problems of anisotropic materials. (AU)

• FAPESP's process: 15/22199-9 - Dynamic 3D thermoelastic multi-scale failure analysis of composites using a fast BEM approach
• Grantee: Rene Quispe Rodriguez
• Support Opportunities: Scholarships in Brazil - Post-Doctoral