INTEC   05402
INSTITUTO DE DESARROLLO TECNOLOGICO PARA LA INDUSTRIA QUIMICA
Unidad Ejecutora - UE
congresos y reuniones científicas
Título:
Topology Optimization of Potential and Elasticity Problems Using Boundary Elements
Autor/es:
ADRIÁN P. CISILINO; CHRISTINE BERTSCH; LUIS CARRETERO NECHES; NESTOR ALBERTO CALVO
Lugar:
Victoria, Canadá
Reunión:
Congreso; 12th ISSMO/AIAA Multidisciplinary Analysis and Optimization Conference; 2008
Institución organizadora:
The American Institute of Aeronautics and Astronautics (AIAA) - International Society for Structural and Multidisciplinary Optimization (ISSMO)
Resumen:
Topology Optimization of Potential and Elasticity Problems
Using Boundary Elements
Adrián P. Cisilino
División Soldadura y Fractomecánica INTEMA, Facultad de Ingeniería CONICET. Universidad Nacional de
Mar del Plata, Av. Juan B. Justo 4302, (7600) Mar del Plata, Argentina
Christine Bertsch
Institut für Angewandte Mechanik, Technische Universität Braunschweig. P.O. Box 3329 Pockelstr. 14 D-38106
Braunschweig, Germany
Luis Carretero Neches
Grupo de Elasticidad y Resistencia de Materiales, Departamento de Mecánica del Continuo, Escuela de Ingenieros
Industriales, Universidad de Sevilla. Avda. de los Descubrimientos s/n, E-41092, Sevilla, España
and
Néstor Calvo
Centro Internacional de Métodos Computacionales en Ingeniería - CONICET
Güemes 3450, 3000 Santa Fe, Argentina
Topological Optimization provides a powerful framework to obtain the optimal domain
topology for several engineering problems. The topological derivative is a function which
characterizes the sensitivity of a given problem to the change of its topology, like opening a
small hole in a continuum or changing the connectivity of rods in a truss. A numerical
approach for the topological optimization of 2D potential and linear elastic problems and 3D
linear elastic problems using Boundary Elements is presented in this work. The topological
derivative is computed from strain and stress results which are solved by means of a
standard Boundary Element analysis. Models are discretized using linear or constant
elements and a periodic distribution of internal points over the domain. The total potential
energy is selected as cost function. The evaluation of the topological derivative is performed
as a post-processing procedure. Afterwards, material is removed from the model by deleting
the internal points and boundary nodes with the lowest or highest values of the topological
derivate. The new geometry is then remeshed using algorithms capable of detecting holes
at those positions where internal points and boundary points have been removed. The
procedure is repeated until a given stopping criterion is satisfied. The proposed strategy
proved to be flexible and robust. A number of examples are solved and results are compared
to those available in the literature.