The dual reciprocity method applied to domain integrals using the dynamic fundamental solution in the frequency domain

• Grant number: 11/21500-6
• Support Opportunities: Regular Research Grants
• Start date: February 01, 2012
• End date: January 31, 2014
• Field of knowledge: Engineering - Civil Engineering - Structural Engineering
• Principal Investigator: Leandro Palermo Junior
• Grantee: Leandro Palermo Junior
• Host Institution: Faculdade de Engenharia Civil, Arquitetura e Urbanismo (FEC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil

Abstract

Application of the Dual Reciprocity Method in formulations of the Boundary Element Method (BEM) using the dynamic fundamental solution for the following plane problems:a)Heat transfer under temperature control related to the problem of hyperthermia. The study concerns on the optimization process including a coupled set of boundary integral equations containing Maxwell and Pennes equations. The amount of heat introduced in the system is dependent on the electric and magnetic fields, which requires the introduction of their values in the objective function. The target of the optimization process is achieving a specific stationary temperature distribution in studied regions without high temperatures (44 ° C) occurring in healthy tissues and inadequate treatment temperatures (41 ° C) in diseased tissues. BEM analyses are performed with the fundamental solution derived from the Helmholtz equation.b)Plate bending considering the effect of shear deformation under harmonic loads. The plate rotations of the fundamental solution are decomposed in two potential fields, a scalar and a vector potential, derived from the solution of the Helmholtz equation. The effect of shear deformation in bending allows better accuracy in stress computation as well as in the assessment of the natural frequencies according to the thickness. Most of plate analysis in engineering problems includes distributed loads normal on the plate domain, which are weighted by displacements related to the fundamental solution in BEM solutions. The plate rotation decomposition in the above mentioned fields shows an intrinsic relation between displacement and scalar potential functions. (AU)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

SOARES, JR., R. A.; PALERMO, JR., L.. Effect of shear deformation on the buckling parameter of perforated and non-perforated plates studied using the boundary element method. Engineering Analysis with Boundary Elements, v. 85, p. 57-69, DEC 2017. (11/21500-6)