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Topology Optimization Benchmark I. Results for Minimum Compilance and Minimum Volume in Plane Stress Problems
Salvador Botello
Acceso Abierto
Atribución-NoComercial
Topología
This article proposes a benchmark set of problems for xed mesh topology optimization in 2 dimen- sions. We have established the problems based on an analysis of more than 100 articles in the specialized literature, gathering the most common dimensions, loads and xed regions used by researchers. Most of the problems reported in specialized literature present di erences in speci cations such as lengths, units, materials, etcetera, by instance, some articles propose the same proportions and geometrical shape but di erent dimensions. Hence, the purpose of this benchmark is to unify geometrical and mechanical char- acteristics and load conditions, considering that the proposed problems must to be realistic, in the sense that the units are in the international system and a real-world material is used as well as load conditions. The nal benchmark integrates 13 problems for plane stress using ASTM A-36 steel. Additionally, we report an approximation to the optimum solution for the compliance and volume problems (maximize sti ness with volume constraint and minimizing volume with a stress constraint respectively) using the Solid Isotropic Material with Penalization (SIMP) method and a new proposed method based on SIMP plus bisection with a Stress Constraint(SIMPSC). In-house implementations of both methods (whose are freely available for academic applications) are used.
05-04-2016
Protocolo de investigación
Inglés
TOPOLOGÍA
Versión publicada
publishedVersion - Versión publicada
Aparece en las colecciones: Reportes Técnicos - Ciencias de la Computación

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