INVESTIGADORES
HUESPE Alfredo Edmundo
congresos y reuniones científicas
Título:
Computational design of microstructure for structural optimization
Autor/es:
V. FACHINOTTI; S. LE CORRE; L. ORGÉAS; A E. HUESPE
Lugar:
Buenos Aires
Reunión:
Congreso; 1st Pan-American Congress on Computational Mechanics - PANACM 2015; 2015
Institución organizadora:
IACM
Resumen:
This work is addressed to the optimization of the macroscopic mechanical response of a body by alteringthe parameters that define the micromechanical response of the material, which is allowed to varythroughout the body. Mathematically speaking, it is an optimization problem where the goal functiondepends on the macroscopic displacement field and the design variables are the (micro-)parametersdefining the microstructure at a series of sampling points embedded in the body.The macroscopic mechanical problem is solved using the finite element method, where each node of themesh is allowed to have a different microstructure, characterized by a finite (usually few) number of microparameters.As an example of application, we consider a fibrous microstructure made of straight rigid fiber bundles,with a rather flat elliptical cross section. Fibers are assumed to have a perfectly planar orientation andmotion, and to be linked by punctual elastic joints, which leads to a macroscopic continuum of elasticnature. Using a numerical implementation of such a local discrete homogenization model, rheologicalfunctions of a fully explicit orthotropic macroscopic planar model were identified [1], showing that thevery complex heterogeneous nature of such random fiber networks could be properly described by threemicro- parameters: main orientation, orientation intensity and fiber fraction.Finally, an optimization problem is solved to determine the optimal distribution of microstructurethroughout a given structure in order to minimize or maximize the stiffness of the structure under a givenload. Optimization cases where a local stress concentration is minimized are also discussed.